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ID Date Author Status Type Category Locationdown Title
  202   Thu Mar 21 17:32:59 2024 Xinyi LuFixedinfolasers and opticsOptical roomPolarization issue & 50kW with 22W injection

Today, Ronic and I lock the cavity on the other polarization and achieved 50kW with 22W injection.

- After we optimize and lock the cavity in vertical polarization, we rotate the waveplate at the transmission to minimize the signal, then rotate the waveplate at the injection laser to maximize the signal. We lock the cavity in this horizontal polarization and optimize CEP and alignment. The results are: when injected at 10W, the circulating power in vertical polarization is 21.4kW and in horizontal polarization is 23.3kW. The coupling are both ~30%.

- The cavity reflection signal obtained in horizontal polarization is weaker than that in vertical polarization (1/10), so we usually lock on vertical polarization first.

- We then increase the power to see the change in coupling. From current 2A to 3A, coupling change from 30% to 40%. Finally, we obtained a circulating power of 50kW with 22W injection (3A current). In the initial stage of locking, high-order modes appear, but in stable locking, there is only fundamental mode and no mode degeneration. Although there are many fluctuations in transmission and reflection.

- Tomorrow, we will optimize the coupling and add removable stages under the telescope.

Xinyi Lu wrote:

just to add some details :

about the S and P polarization frequency shift:
the PZT scan is 10Vpp at 3.1Hz => the slope is 62 V/s because of the triangle shape of the PZT scan.
so 100µs of separation of the 2 polarization is equivalent to 6.2mV on the PZT.
as the PZT sensitivity is 3.7Hz/V on Frep, the separation of the 2 polarization is equivalent to 23mHz on Frep.
△Frep/Frep = △v/v =>  △v = 41.8 kHz

about the possibility to separate S and P polarization states on secondary resonances:
the total spectral width is ~2nm which is equivalent to 565GHz and contain about 3500 laser harmonics at 160MHz.
the central spectral harmonic is roughly the number n0=1.82M, so with the first secondary resonance condition, the Frep/FSR detuning corresponds to n0*Frep = (n0+1) FSR
so (Frep - FSR) = FSR/n0 ~ 88Hz.
then if the central frequency, related to n0, is on an S-polarization resonance, the harmonics at (n0+475) will be on the P-polarization resonance and so on...
the conclusion is the power detected by a photodiode on secondary resonances are a mix of S and P polarizations (if the laser input beam is also a combination of S and P polarizations)
and we cannot make an observation of different peaks with different polarizations in transmission of the FP-cavity.
for that, it is mandatory to be on the main resonance with Frep = FSR (CEP~0) as condition of resonance.

Xinyi Lu wrote:

These days, Ronic, Aurélien, Fatematuj and I have been doing some tests on polarization issue, trying to see if it is possible to obtain higher gain under other polarization conditions.

  • We installed an additional half-wave plate + PBS + PD at the transmission. By rotating the waveplate of the injection laser, we can compare the resonance signals of single and full polarization. Figures 1 and 2 demonstrate this comparison. The yellow curve is full polarization and the green one is single polarization. The intensity ratio of the different polarizations is unstable in the open-loop state.
  • Based on PZT scan frequency = 3.1 Hz, amplitude = 10 V, sensitivity = 3.7 Hz/V, time difference between two polarization peaks = 100 us, we can calculate △Frep = 10mHz and △v = 42kHz, which means the frequency variation between two polarizations. We see two polarizations only at the main resonance.
  • By the way, we found two spots behind the M3 window (see Figure 3) and the power of both is related to the intra-cavity power. We moved the position of D-shaped mirror and the second spot became weaker and larger like mirror's edge. Maybe the D-shaped mirror is causing a part of laser to be reflected through the window, but it's unclear exactly how the optical path works.

Next steps:

  • We will lock the cavity in different polarization and see if there is higher gain.
  • We will move D-shaped to the maximum and see if the second spot disappears.
  • We will check the coupling value and try to optimize the telescope using adjustable stages.
Xinyi Lu wrote:

Today, Ronic and I optimized the locking at the amplifier current of 2 A and obtained ~ 21 kW inside the cavity.

- When all the iris open, the injected power is 10 W and the coupling is ~ 40%, corresponding to an effective gain of 2,100 and a full gain of 5,250. But the coupling may not be the true value because there is a large spot around the output beam.

- We have optimized the CEP, alignment, D-shaped mirrors and locking state. We optimized alignment after leaving the iris open and the inside power went from 14kW to 21kW.

- The transmission and reflection signals both have some same fluctuations, and they seem to come from the cavity. It's possible that the over-angled mirror mount could be the cause, but not sure. We will check in different power and see the stability of the signal.

- In addition, we found that the design values of the mirror incidence angles for the SBOX (3.359°, 5.900°) are different from the mirror ratings (1.146°). This may result in parameters such as reflection and transmission being different from the datasheet. It will also change the estimated maximum finesse, gain, and power inside the cavity. It might be better if the mirror parameters could be recalculated based on the actual angle of incidence.

Xinyi Lu wrote:

- Today, Ronic and I locked at the amplifier current of 2 A and obtained ~60% coupling after optimizing the CEP (see Figure 1).

- The injected power is 10 W at 2 A. We measured only 14 kW inside the cavity, which corresponds to an effective gain of 1,400 and a full gain of 2,300. The cavity finesse is 23,000 and the normal gain should be around 6,200.

- We found fluctuations in transmission, possibly because of mode degradation. Tomorrow we will use D-shape mirrors to suppress high-order modes and optimize alignment and locking.

Xinyi Lu wrote:

Today, Ronic and I installed the new telescope and locked the cavity.

- We locked at the amplifier current of 1 A and obtained 32% of coupling. (see Figure 1)

- The telescope was designed for a current of 2 A (output power ~10 W). To inject this power, we need to add some filters to devices.

- For CEP tuning, when we changed the AOM frequency while cavity locking, sometimes it caused unlock and power drops. It will be dangerous in high-power cases. So it's better to optimize the AOM frequency in low power and just tune the laser current in high power. Now the current variation range of the menhir laser is 750mA to 950mA.

Xinyi Lu wrote:

- These days, Ronic, Fatematuj and I measured the beam parameters of the output of the third-stage amplifier.

- We used 2 wedges and reflection filters to reduce the intensity on the CCD.

- We measured multiple points at pump current of 2 A (output power ~10 W). The waist diameter of the output is w_x = 792.26 um, w_y=873.90 um.

- The next step is to design the telescope and improve the coupling efficiency.

 

 

 

 

 

 

Attachment 1: 50kW_with_22W_injection.png
50kW_with_22W_injection.png
Attachment 2: 50_kW_power_at_3A_injection.png
50_kW_power_at_3A_injection.png
  203   Tue Mar 26 19:36:48 2024 Xinyi LuFixedinfolasers and opticsOptical roomHigh power experiments (200kW)

These days, Ronic and I achieved 200kW inside the cavity and 70% coupling efficiency.

- By optimizing the telescope, the coupling reached 70% with iris fully open and maintained 60%-70% coupling at high power.

- The cavity mode went from 2.2mm,2.5mm (38kW) to finally 2.3mm,2.8mm (200kW) without changing a lot.

- Gradually raising the power while optimizing alignment, CEP, and locking, we got the following stable power:

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 38 3800
2.3 14 50 3571
3 22 70 3181
4 35 115 3285
5 48 158 3292
8 87(Estimated) 202 2322

- Next steps:

  • Explain the strange drop phenomenon that occurs at high power, where both transmission and reflection drop, as in Fig. 2.
  • Maintains a half-hour locking at 200kW. Now the temperature of the amplifier at 8A is over 40 degrees, which may be risky.
Attachment 1: 202kW_power_at_8A_injection.png
202kW_power_at_8A_injection.png
Attachment 2: Strange_drops.jpg
Strange_drops.jpg
  204   Wed Mar 27 09:47:37 2024 Xinyi LuFixedinfolasers and opticsOptical roomHigh power experiments (200kW)

all the injection power in the chart have not been measured recently but during the Loic thesis period.
and these old measurements stopped at 5.5A of pump current.... so, the data at "8A" is a pure estimation.

about the last measurement :
it was made at 6A/8A/8A/8A for the 4 pump diodes of the amplifier (because 1st stage has a Peltier issue and we cannot check its temperature), so the average current is 7.5A instead of 8A.
and the linear scale between pump current and amplifier power is ~ 12W/A, then the estimated amplifier power for the last measurement is 76W instead of 87W
and the estimated gain is more 2658.
for this current, the amplifier works out of its nominal limits (temperature set at 25°C but measured at 30°C !!!)  and the fans of the crate are making noise like hell.
so the last gain estimation should be treated very cautiously.

about the transmission and reflection signals behavior, one can write :
R + T + L = 1 => energy conservation for the cavity.
dR + dT + dL = 0 => dL = - (dR + dT)

if dX = Xfinal - Xinitial, dR and dT are < 0 on the last picture, then dL > 0.
it means that this picture seems to show that some losses are increasing from the beginning of the locking process.


several possibilities :
- we saw a strange D-shape effect on the large port of the cavity.
it seems that one of the D-shape mount/mirror is touching the intra-cavity beam producing some ghost effect on this large cavity port.
some cavity axis changing during the beginning of the lock could introduce some additionnal losses.
it can be easily tested by puting the D-shapes far from the beam.

- because of cavity axis changing at the beginning of the lock, the mirror losses are different.
but it is surprising that it is still going in the same direction... more losses at the end.
could be tested by slightly changing the optical axis of the cavity.

- "prior damage" behavior with a bump in the middle of the mirror due to thermal effect which introduces some losses at the end.
=> if it's the case, it's not a good behavior !!! :-(((
can be tested by looking at the wavefront phase in transmission.

- Non linear effect is the coatings.
but the field density seems not so much to produce this kind of effect

- A thermally induced change in the refractive index of the mirrors.
Daniele mentionned a relation between real and imaginary (related to absorption) parts of this refractive index which could explain that a reflectivity change could induce an absorption change.

Xinyi Lu wrote:

These days, Ronic and I achieved 200kW inside the cavity and 70% coupling efficiency.

- By optimizing the telescope, the coupling reached 70% with iris fully open and maintained 60%-70% coupling at high power.

- The cavity mode went from 2.2mm,2.5mm (38kW) to finally 2.3mm,2.8mm (200kW) without changing a lot.

- Gradually raising the power while optimizing alignment, CEP, and locking, we got the following stable power:

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 38 3800
2.3 14 50 3571
3 22 70 3181
4 35 115 3285
5 48 158 3292
8 87(Estimated) 202 2322

- Next steps:

  • Explain the strange drop phenomenon that occurs at high power, where both transmission and reflection drop, as in Fig. 2.
  • Maintains a half-hour locking at 200kW. Now the temperature of the amplifier at 8A is over 40 degrees, which may be risky.

 

  205   Wed Mar 27 22:37:02 2024 Xinyi LuFixedinfolasers and opticsOptical roomHigh power experiments (272kW)

Today, Ronic and I achieved 272kW inside the cavity at 7.5A. The coupling maintained 60%-70%.

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 50 5000
3 22 105 4773
4 34 156 4588
5 47 210 4468
6 58(Estimated) 250 4310
7.5 76(Estimated) 272 3579

- Compared to yesterday's experiment, we moved the position of the D-shaped mirrors farther in two directions to make the higher-order modes just disappear.

- Possible reasons for higher gain: D-shaped mirrors position, high power and pump vacuum cleaned cavity mirrors so that improve the finesse.

- We didn't see the strange drops like yesterday (Figure 1). However, in the window behind the M3, we can see 3 spots correlating with the intracavity power, even though moving the D-shaped very far does not make them disappear, only weakens them. We don't know where they came from. When this round of experiments is over, we can open the cavity and observe the optical paths.

- Next steps:

  • Repeat the experiment to ensure that the gain does not drop.
  • Long-term measurement at maximum power when the amplifier temperature is safe.
  • Measure the transmittance of the cavity mirrors and the amplifier power.
  • Open the cavity and observe the optical paths and the mirror surface.
Xinyi Lu wrote:

all the injection power in the chart have not been measured recently but during the Loic thesis period.
and these old measurements stopped at 5.5A of pump current.... so, the data at "8A" is a pure estimation.

about the last measurement :
it was made at 6A/8A/8A/8A for the 4 pump diodes of the amplifier (because 1st stage has a Peltier issue and we cannot check its temperature), so the average current is 7.5A instead of 8A.
and the linear scale between pump current and amplifier power is ~ 12W/A, then the estimated amplifier power for the last measurement is 76W instead of 87W
and the estimated gain is more 2658.
for this current, the amplifier works out of its nominal limits (temperature set at 25°C but measured at 30°C !!!)  and the fans of the crate are making noise like hell.
so the last gain estimation should be treated very cautiously.

about the transmission and reflection signals behavior, one can write :
R + T + L = 1 => energy conservation for the cavity.
dR + dT + dL = 0 => dL = - (dR + dT)

if dX = Xfinal - Xinitial, dR and dT are < 0 on the last picture, then dL > 0.
it means that this picture seems to show that some losses are increasing from the beginning of the locking process.


several possibilities :
- we saw a strange D-shape effect on the large port of the cavity.
it seems that one of the D-shape mount/mirror is touching the intra-cavity beam producing some ghost effect on this large cavity port.
some cavity axis changing during the beginning of the lock could introduce some additionnal losses.
it can be easily tested by puting the D-shapes far from the beam.

- because of cavity axis changing at the beginning of the lock, the mirror losses are different.
but it is surprising that it is still going in the same direction... more losses at the end.
could be tested by slightly changing the optical axis of the cavity.

- "prior damage" behavior with a bump in the middle of the mirror due to thermal effect which introduces some losses at the end.
=> if it's the case, it's not a good behavior !!! :-(((
can be tested by looking at the wavefront phase in transmission.

- Non linear effect is the coatings.
but the field density seems not so much to produce this kind of effect

- A thermally induced change in the refractive index of the mirrors.
Daniele mentionned a relation between real and imaginary (related to absorption) parts of this refractive index which could explain that a reflectivity change could induce an absorption change.

Xinyi Lu wrote:

These days, Ronic and I achieved 200kW inside the cavity and 70% coupling efficiency.

- By optimizing the telescope, the coupling reached 70% with iris fully open and maintained 60%-70% coupling at high power.

- The cavity mode went from 2.2mm,2.5mm (38kW) to finally 2.3mm,2.8mm (200kW) without changing a lot.

- Gradually raising the power while optimizing alignment, CEP, and locking, we got the following stable power:

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 38 3800
2.3 14 50 3571
3 22 70 3181
4 35 115 3285
5 48 158 3292
8 87(Estimated) 202 2322

- Next steps:

  • Explain the strange drop phenomenon that occurs at high power, where both transmission and reflection drop, as in Fig. 2.
  • Maintains a half-hour locking at 200kW. Now the temperature of the amplifier at 8A is over 40 degrees, which may be risky.

 

 

 
 

 

 

Attachment 1: Screenshot_2024-03-27_7_270kW_7.5A.png
Screenshot_2024-03-27_7_270kW_7.5A.png
Attachment 2: 210_kW_power_at_5A_injection.png
210_kW_power_at_5A_injection.png
Attachment 3: 272.3kW_at_7.5A.jpg
272.3kW_at_7.5A.jpg
  206   Thu Mar 28 19:03:55 2024 Xinyi LuFixedinfolasers and opticsOptical roomAmplifier power and mirror transmission

Today, Ronic, Daniele, Aurélien and I measured the amplifier power and mirror transmission.

Current (A) 0 (2rd stage) 1 2 3 4 5 6 7 7.5 8
Power (W) 1 1.8 11.8 23.5 35.5 47 57.5 66.9 70.7 74.9

For transmission measurements, we used the same new mirrors as Sbox and ThomX, and installed an iris and a 2-inch mount to block the scattering laser.

The angle of incidence during the measurement was about 0.5°. We changed the angle and the measurements remained the same.

Mirror Number PL-0898 PL-10978
Nominal Value 3 ppm 115 ppm
Measured Value 1.75 ppm 113 ppm

If the mirror being used also has a transmission of 1.75 ppm, the original 270kW is actually 463kW!!! The gain is 6549 and the finesse is 28585 (70% coupling).

We will do more tests to check it.

  • Redo the experiment and check the spot behind the window at high power.
  • Move the power meter to the plane mirror M2 window. It was previously behind the curved mirror M4 window.
  • Compare locking curves, cavity mode sizes, and coupling efficiency at different powers.
  • After finishing the high-power experiments, we will measure the finesse using CW laser and the transmission of the mirrors used.
Xinyi Lu wrote:

Today, Ronic and I achieved 272kW inside the cavity at 7.5A. The coupling maintained 60%-70%.

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 50 5000
3 22 105 4773
4 34 156 4588
5 47 210 4468
6 58(Estimated) 250 4310
7.5 76(Estimated) 272 3579

- Compared to yesterday's experiment, we moved the position of the D-shaped mirrors farther in two directions to make the higher-order modes just disappear.

- Possible reasons for higher gain: D-shaped mirrors position, high power and pump vacuum cleaned cavity mirrors so that improve the finesse.

- We didn't see the strange drops like yesterday (Figure 1). However, in the window behind the M3, we can see 3 spots correlating with the intracavity power, even though moving the D-shaped very far does not make them disappear, only weakens them. We don't know where they came from. When this round of experiments is over, we can open the cavity and observe the optical paths.

- Next steps:

  • Repeat the experiment to ensure that the gain does not drop.
  • Long-term measurement at maximum power when the amplifier temperature is safe.
  • Measure the transmittance of the cavity mirrors and the amplifier power.
  • Open the cavity and observe the optical paths and the mirror surface.
Xinyi Lu wrote:

all the injection power in the chart have not been measured recently but during the Loic thesis period.
and these old measurements stopped at 5.5A of pump current.... so, the data at "8A" is a pure estimation.

about the last measurement :
it was made at 6A/8A/8A/8A for the 4 pump diodes of the amplifier (because 1st stage has a Peltier issue and we cannot check its temperature), so the average current is 7.5A instead of 8A.
and the linear scale between pump current and amplifier power is ~ 12W/A, then the estimated amplifier power for the last measurement is 76W instead of 87W
and the estimated gain is more 2658.
for this current, the amplifier works out of its nominal limits (temperature set at 25°C but measured at 30°C !!!)  and the fans of the crate are making noise like hell.
so the last gain estimation should be treated very cautiously.

about the transmission and reflection signals behavior, one can write :
R + T + L = 1 => energy conservation for the cavity.
dR + dT + dL = 0 => dL = - (dR + dT)

if dX = Xfinal - Xinitial, dR and dT are < 0 on the last picture, then dL > 0.
it means that this picture seems to show that some losses are increasing from the beginning of the locking process.


several possibilities :
- we saw a strange D-shape effect on the large port of the cavity.
it seems that one of the D-shape mount/mirror is touching the intra-cavity beam producing some ghost effect on this large cavity port.
some cavity axis changing during the beginning of the lock could introduce some additionnal losses.
it can be easily tested by puting the D-shapes far from the beam.

- because of cavity axis changing at the beginning of the lock, the mirror losses are different.
but it is surprising that it is still going in the same direction... more losses at the end.
could be tested by slightly changing the optical axis of the cavity.

- "prior damage" behavior with a bump in the middle of the mirror due to thermal effect which introduces some losses at the end.
=> if it's the case, it's not a good behavior !!! :-(((
can be tested by looking at the wavefront phase in transmission.

- Non linear effect is the coatings.
but the field density seems not so much to produce this kind of effect

- A thermally induced change in the refractive index of the mirrors.
Daniele mentionned a relation between real and imaginary (related to absorption) parts of this refractive index which could explain that a reflectivity change could induce an absorption change.

Xinyi Lu wrote:

These days, Ronic and I achieved 200kW inside the cavity and 70% coupling efficiency.

- By optimizing the telescope, the coupling reached 70% with iris fully open and maintained 60%-70% coupling at high power.

- The cavity mode went from 2.2mm,2.5mm (38kW) to finally 2.3mm,2.8mm (200kW) without changing a lot.

- Gradually raising the power while optimizing alignment, CEP, and locking, we got the following stable power:

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 38 3800
2.3 14 50 3571
3 22 70 3181
4 35 115 3285
5 48 158 3292
8 87(Estimated) 202 2322

- Next steps:

  • Explain the strange drop phenomenon that occurs at high power, where both transmission and reflection drop, as in Fig. 2.
  • Maintains a half-hour locking at 200kW. Now the temperature of the amplifier at 8A is over 40 degrees, which may be risky.

 

 

 

Attachment 1: 3rd_amp_power.png
3rd_amp_power.png
Attachment 2: Transmission_measurement.png
Transmission_measurement.png
  207   Fri Mar 29 16:23:34 2024 Ronic ChicheFixedinfolasers and optics | detectors and electronicsOptical room100W CELIA laser amplifier "Power vs Pump current" curve

We measured again the 100W CELIA laser amplifier with a pump current until 8A.

as the first current pump of the amplifier has a Peltier issue, we don't exceeded 6A on this stage and we compensated with the 3 other stages.

7A average current is obtained with 6A / 7.3A / 7.3A / 7.4A
7.5A average current is obtained with 6A / 8A / 8A / 8A
8A average current is obtained with 6A / 8.6A / 8.7A / 8.7A

we did the power measured either with the "big" powermeter which is able to handle 100W
and with a smaller powermeter after a wedge, in the reflection path, which is multiplied by 39 to match the big powermeter measurement.

a fit a 12W/A from the cut-off current of 2A is a good estimation until 5A.

Attachment 1: CELIA_100W_amplifier_Power_vs_Current.png
CELIA_100W_amplifier_Power_vs_Current.png
  208   Tue Apr 2 08:39:17 2024 Xinyi LuFixedinfolasers and opticsOptical roomHigh power experiments (500kW)

Last week, we achieved a stable intracavity average power of 500kW, limited by amplifier power. The experimental data are shown in Figure 1.

- We measured the transmitted laser with a power meter in the windows behind M2 and M4 respectively, and the results were consistent, so the measurements were credible.

- There is only one transmitted laser spot behind both M2 and M4.

- We measured 10-minute locking data at different powers (Figure 2). 480 kW data was not optimized, and we will add 500 kW locking data later.

- We compared cavity modes at different powers (Figure 3). There are fluctuations because we only saved one data at one power. More data will be collected for averaging later.

- After finishing the high-power experiments, we will measure the finesse and the transmission of the mirrors used. As well as the pulse duration, spectrum, phase noise, and repetition rate of the laser.

Xinyi Lu wrote:

Today, Ronic, Daniele, Aurélien and I measured the amplifier power and mirror transmission.

Current (A) 0 (2rd stage) 1 2 3 4 5 6 7 7.5 8
Power (W) 1 1.8 11.8 23.5 35.5 47 57.5 66.9 70.7 74.9

For transmission measurements, we used the same new mirrors as Sbox and ThomX, and installed an iris and a 2-inch mount to block the scattering laser.

The angle of incidence during the measurement was about 0.5°. We changed the angle and the measurements remained the same.

Mirror Number PL-0898 PL-10978
Nominal Value 3 ppm 115 ppm
Measured Value 1.75 ppm 113 ppm

If the mirror being used also has a transmission of 1.75 ppm, the original 270kW is actually 463kW!!! The gain is 6549 and the finesse is 28585 (70% coupling).

We will do more tests to check it.

  • Redo the experiment and check the spot behind the window at high power.
  • Move the power meter to the plane mirror M2 window. It was previously behind the curved mirror M4 window.
  • Compare locking curves, cavity mode sizes, and coupling efficiency at different powers.
  • After finishing the high-power experiments, we will measure the finesse using CW laser and the transmission of the mirrors used.
Xinyi Lu wrote:

Today, Ronic and I achieved 272kW inside the cavity at 7.5A. The coupling maintained 60%-70%.

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 50 5000
3 22 105 4773
4 34 156 4588
5 47 210 4468
6 58(Estimated) 250 4310
7.5 76(Estimated) 272 3579

- Compared to yesterday's experiment, we moved the position of the D-shaped mirrors farther in two directions to make the higher-order modes just disappear.

- Possible reasons for higher gain: D-shaped mirrors position, high power and pump vacuum cleaned cavity mirrors so that improve the finesse.

- We didn't see the strange drops like yesterday (Figure 1). However, in the window behind the M3, we can see 3 spots correlating with the intracavity power, even though moving the D-shaped very far does not make them disappear, only weakens them. We don't know where they came from. When this round of experiments is over, we can open the cavity and observe the optical paths.

- Next steps:

  • Repeat the experiment to ensure that the gain does not drop.
  • Long-term measurement at maximum power when the amplifier temperature is safe.
  • Measure the transmittance of the cavity mirrors and the amplifier power.
  • Open the cavity and observe the optical paths and the mirror surface.
Xinyi Lu wrote:

all the injection power in the chart have not been measured recently but during the Loic thesis period.
and these old measurements stopped at 5.5A of pump current.... so, the data at "8A" is a pure estimation.

about the last measurement :
it was made at 6A/8A/8A/8A for the 4 pump diodes of the amplifier (because 1st stage has a Peltier issue and we cannot check its temperature), so the average current is 7.5A instead of 8A.
and the linear scale between pump current and amplifier power is ~ 12W/A, then the estimated amplifier power for the last measurement is 76W instead of 87W
and the estimated gain is more 2658.
for this current, the amplifier works out of its nominal limits (temperature set at 25°C but measured at 30°C !!!)  and the fans of the crate are making noise like hell.
so the last gain estimation should be treated very cautiously.

about the transmission and reflection signals behavior, one can write :
R + T + L = 1 => energy conservation for the cavity.
dR + dT + dL = 0 => dL = - (dR + dT)

if dX = Xfinal - Xinitial, dR and dT are < 0 on the last picture, then dL > 0.
it means that this picture seems to show that some losses are increasing from the beginning of the locking process.


several possibilities :
- we saw a strange D-shape effect on the large port of the cavity.
it seems that one of the D-shape mount/mirror is touching the intra-cavity beam producing some ghost effect on this large cavity port.
some cavity axis changing during the beginning of the lock could introduce some additionnal losses.
it can be easily tested by puting the D-shapes far from the beam.

- because of cavity axis changing at the beginning of the lock, the mirror losses are different.
but it is surprising that it is still going in the same direction... more losses at the end.
could be tested by slightly changing the optical axis of the cavity.

- "prior damage" behavior with a bump in the middle of the mirror due to thermal effect which introduces some losses at the end.
=> if it's the case, it's not a good behavior !!! :-(((
can be tested by looking at the wavefront phase in transmission.

- Non linear effect is the coatings.
but the field density seems not so much to produce this kind of effect

- A thermally induced change in the refractive index of the mirrors.
Daniele mentionned a relation between real and imaginary (related to absorption) parts of this refractive index which could explain that a reflectivity change could induce an absorption change.

Xinyi Lu wrote:

These days, Ronic and I achieved 200kW inside the cavity and 70% coupling efficiency.

- By optimizing the telescope, the coupling reached 70% with iris fully open and maintained 60%-70% coupling at high power.

- The cavity mode went from 2.2mm,2.5mm (38kW) to finally 2.3mm,2.8mm (200kW) without changing a lot.

- Gradually raising the power while optimizing alignment, CEP, and locking, we got the following stable power:

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 38 3800
2.3 14 50 3571
3 22 70 3181
4 35 115 3285
5 48 158 3292
8 87(Estimated) 202 2322

- Next steps:

  • Explain the strange drop phenomenon that occurs at high power, where both transmission and reflection drop, as in Fig. 2.
  • Maintains a half-hour locking at 200kW. Now the temperature of the amplifier at 8A is over 40 degrees, which may be risky.

 

 

 

 

 
 

 

 

Attachment 1: record.png
record.png
Attachment 2: power_vs_time.png
power_vs_time.png
Attachment 3: cavitymode_vs_power.png
cavitymode_vs_power.png
  209   Wed Apr 3 08:53:33 2024 Xinyi LuFixedinfolasers and opticsOptical roomHigh power experiments (520kW)

Yesterday, Ronic, Xing, Qili and I achieved a more stable 520kW power at 7.5A (71W injection) by optimizing the alignment and locking parameters. (Figure 1)

- The cavity can be stable locked when airflow is on. At 7.5A, the pump temperature is about 28℃. The chiller temperature didn't change, to the same 23 ℃ setting. We can try 8A later (75W injection) for a short time;

- Figure 2 demonstrates the cavity mode variation, wy/Pc ~ 1.7 mm/MW, half that of the OL paper (3.3 mm/MW). The thermal deformation of our device is much smaller.

- The experimental data are shown in Figure 3. Figure 4 shows the injection power vs circulating power.

- There are some tests that can be done at the moment. I'll update on the elog after discussing the necessity today. ^_^

Xinyi Lu wrote:

Last week, we achieved a stable intracavity average power of 500kW, limited by amplifier power. The experimental data are shown in Figure 1.

- We measured the transmitted laser with a power meter in the windows behind M2 and M4 respectively, and the results were consistent, so the measurements were credible.

- There is only one transmitted laser spot behind both M2 and M4.

- We measured 10-minute locking data at different powers (Figure 2). 480 kW data was not optimized, and we will add 500 kW locking data later.

- We compared cavity modes at different powers (Figure 3). There are fluctuations because we only saved one data at one power. More data will be collected for averaging later.

- After finishing the high-power experiments, we will measure the finesse and the transmission of the mirrors used. As well as the pulse duration, spectrum, phase noise, and repetition rate of the laser.

Xinyi Lu wrote:

Today, Ronic, Daniele, Aurélien and I measured the amplifier power and mirror transmission.

Current (A) 0 (2rd stage) 1 2 3 4 5 6 7 7.5 8
Power (W) 1 1.8 11.8 23.5 35.5 47 57.5 66.9 70.7 74.9

For transmission measurements, we used the same new mirrors as Sbox and ThomX, and installed an iris and a 2-inch mount to block the scattering laser.

The angle of incidence during the measurement was about 0.5°. We changed the angle and the measurements remained the same.

Mirror Number PL-0898 PL-10978
Nominal Value 3 ppm 115 ppm
Measured Value 1.75 ppm 113 ppm

If the mirror being used also has a transmission of 1.75 ppm, the original 270kW is actually 463kW!!! The gain is 6549 and the finesse is 28585 (70% coupling).

We will do more tests to check it.

  • Redo the experiment and check the spot behind the window at high power.
  • Move the power meter to the plane mirror M2 window. It was previously behind the curved mirror M4 window.
  • Compare locking curves, cavity mode sizes, and coupling efficiency at different powers.
  • After finishing the high-power experiments, we will measure the finesse using CW laser and the transmission of the mirrors used.
Xinyi Lu wrote:

Today, Ronic and I achieved 272kW inside the cavity at 7.5A. The coupling maintained 60%-70%.

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 50 5000
3 22 105 4773
4 34 156 4588
5 47 210 4468
6 58(Estimated) 250 4310
7.5 76(Estimated) 272 3579

- Compared to yesterday's experiment, we moved the position of the D-shaped mirrors farther in two directions to make the higher-order modes just disappear.

- Possible reasons for higher gain: D-shaped mirrors position, high power and pump vacuum cleaned cavity mirrors so that improve the finesse.

- We didn't see the strange drops like yesterday (Figure 1). However, in the window behind the M3, we can see 3 spots correlating with the intracavity power, even though moving the D-shaped very far does not make them disappear, only weakens them. We don't know where they came from. When this round of experiments is over, we can open the cavity and observe the optical paths.

- Next steps:

  • Repeat the experiment to ensure that the gain does not drop.
  • Long-term measurement at maximum power when the amplifier temperature is safe.
  • Measure the transmittance of the cavity mirrors and the amplifier power.
  • Open the cavity and observe the optical paths and the mirror surface.
Xinyi Lu wrote:

all the injection power in the chart have not been measured recently but during the Loic thesis period.
and these old measurements stopped at 5.5A of pump current.... so, the data at "8A" is a pure estimation.

about the last measurement :
it was made at 6A/8A/8A/8A for the 4 pump diodes of the amplifier (because 1st stage has a Peltier issue and we cannot check its temperature), so the average current is 7.5A instead of 8A.
and the linear scale between pump current and amplifier power is ~ 12W/A, then the estimated amplifier power for the last measurement is 76W instead of 87W
and the estimated gain is more 2658.
for this current, the amplifier works out of its nominal limits (temperature set at 25°C but measured at 30°C !!!)  and the fans of the crate are making noise like hell.
so the last gain estimation should be treated very cautiously.

about the transmission and reflection signals behavior, one can write :
R + T + L = 1 => energy conservation for the cavity.
dR + dT + dL = 0 => dL = - (dR + dT)

if dX = Xfinal - Xinitial, dR and dT are < 0 on the last picture, then dL > 0.
it means that this picture seems to show that some losses are increasing from the beginning of the locking process.


several possibilities :
- we saw a strange D-shape effect on the large port of the cavity.
it seems that one of the D-shape mount/mirror is touching the intra-cavity beam producing some ghost effect on this large cavity port.
some cavity axis changing during the beginning of the lock could introduce some additionnal losses.
it can be easily tested by puting the D-shapes far from the beam.

- because of cavity axis changing at the beginning of the lock, the mirror losses are different.
but it is surprising that it is still going in the same direction... more losses at the end.
could be tested by slightly changing the optical axis of the cavity.

- "prior damage" behavior with a bump in the middle of the mirror due to thermal effect which introduces some losses at the end.
=> if it's the case, it's not a good behavior !!! :-(((
can be tested by looking at the wavefront phase in transmission.

- Non linear effect is the coatings.
but the field density seems not so much to produce this kind of effect

- A thermally induced change in the refractive index of the mirrors.
Daniele mentionned a relation between real and imaginary (related to absorption) parts of this refractive index which could explain that a reflectivity change could induce an absorption change.

Xinyi Lu wrote:

These days, Ronic and I achieved 200kW inside the cavity and 70% coupling efficiency.

- By optimizing the telescope, the coupling reached 70% with iris fully open and maintained 60%-70% coupling at high power.

- The cavity mode went from 2.2mm,2.5mm (38kW) to finally 2.3mm,2.8mm (200kW) without changing a lot.

- Gradually raising the power while optimizing alignment, CEP, and locking, we got the following stable power:

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 38 3800
2.3 14 50 3571
3 22 70 3181
4 35 115 3285
5 48 158 3292
8 87(Estimated) 202 2322

- Next steps:

  • Explain the strange drop phenomenon that occurs at high power, where both transmission and reflection drop, as in Fig. 2.
  • Maintains a half-hour locking at 200kW. Now the temperature of the amplifier at 8A is over 40 degrees, which may be risky.

 

 

 

 

 

Attachment 1: power_vs_time.png
power_vs_time.png
Attachment 2: cavitymode_vs_power_1.png
cavitymode_vs_power_1.png
Attachment 3: record.png
record.png
Attachment 4: injection_power_vs_intra_power.png
injection_power_vs_intra_power.png
  210   Wed Apr 3 21:37:07 2024 Xinyi LuFixedinfolasers and opticsOptical roomHigh power experiments (550kW)

- Today we moved the position of the D-shaped mirror at 6A. When motor1 (vertical) is 0.2mm away from the spot, the power in the cavity rises from 457kW to 483kW. Gain=8407 is similar to that at low power (Gain=8511). So the D-shaped mirror lost some of the gain in the previous experiments. At 4A and 5A we did not move the D-shaped mirror. (Figure 1)

- At 8A, we got 553 kW inside the cavity for one minute (Figure 2). The pump temperature is higher than yesterday (up to 34°C).

- At 7.5A and 8A, the cavity can remain stably locked, but the power fluctuation in the cavity is so large that it is difficult to optimize the alignment. This may be due to the short time the amplifier was on, the pump temperature, amplifier pointing and power fluctuations, and thermal effects in the cavity....... The amplifier operated differently at different moments.

- We measured the spectrum of the amplified laser. (Figure 3) The peak is 1032.2 nm. We will optimize the alignment and increase the power to optimize this measurement.

- Next arrangement
   Thursday: larger laser beam size
   Friday: smaller laser beam size
   Monday: finesse measurement with CW laser (Firstly check the possibility of measuring with pulsed laser)

Xinyi Lu wrote:

Yesterday, Ronic, Xing, Qili and I achieved a more stable 520kW power at 7.5A (71W injection) by optimizing the alignment and locking parameters. (Figure 1)

- The cavity can be stable locked when airflow is on. At 7.5A, the pump temperature is about 28℃. The chiller temperature didn't change, to the same 23 ℃ setting. We can try 8A later (75W injection) for a short time;

- Figure 2 demonstrates the cavity mode variation, wy/Pc ~ 1.7 mm/MW, half that of the OL paper (3.3 mm/MW). The thermal deformation of our device is much smaller.

- The experimental data are shown in Figure 3. Figure 4 shows the injection power vs circulating power.

- There are some tests that can be done at the moment. I'll update on the elog after discussing the necessity today. ^_^

Xinyi Lu wrote:

Last week, we achieved a stable intracavity average power of 500kW, limited by amplifier power. The experimental data are shown in Figure 1.

- We measured the transmitted laser with a power meter in the windows behind M2 and M4 respectively, and the results were consistent, so the measurements were credible.

- There is only one transmitted laser spot behind both M2 and M4.

- We measured 10-minute locking data at different powers (Figure 2). 480 kW data was not optimized, and we will add 500 kW locking data later.

- We compared cavity modes at different powers (Figure 3). There are fluctuations because we only saved one data at one power. More data will be collected for averaging later.

- After finishing the high-power experiments, we will measure the finesse and the transmission of the mirrors used. As well as the pulse duration, spectrum, phase noise, and repetition rate of the laser.

Xinyi Lu wrote:

Today, Ronic, Daniele, Aurélien and I measured the amplifier power and mirror transmission.

Current (A) 0 (2rd stage) 1 2 3 4 5 6 7 7.5 8
Power (W) 1 1.8 11.8 23.5 35.5 47 57.5 66.9 70.7 74.9

For transmission measurements, we used the same new mirrors as Sbox and ThomX, and installed an iris and a 2-inch mount to block the scattering laser.

The angle of incidence during the measurement was about 0.5°. We changed the angle and the measurements remained the same.

Mirror Number PL-0898 PL-10978
Nominal Value 3 ppm 115 ppm
Measured Value 1.75 ppm 113 ppm

If the mirror being used also has a transmission of 1.75 ppm, the original 270kW is actually 463kW!!! The gain is 6549 and the finesse is 28585 (70% coupling).

We will do more tests to check it.

  • Redo the experiment and check the spot behind the window at high power.
  • Move the power meter to the plane mirror M2 window. It was previously behind the curved mirror M4 window.
  • Compare locking curves, cavity mode sizes, and coupling efficiency at different powers.
  • After finishing the high-power experiments, we will measure the finesse using CW laser and the transmission of the mirrors used.
Xinyi Lu wrote:

Today, Ronic and I achieved 272kW inside the cavity at 7.5A. The coupling maintained 60%-70%.

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 50 5000
3 22 105 4773
4 34 156 4588
5 47 210 4468
6 58(Estimated) 250 4310
7.5 76(Estimated) 272 3579

- Compared to yesterday's experiment, we moved the position of the D-shaped mirrors farther in two directions to make the higher-order modes just disappear.

- Possible reasons for higher gain: D-shaped mirrors position, high power and pump vacuum cleaned cavity mirrors so that improve the finesse.

- We didn't see the strange drops like yesterday (Figure 1). However, in the window behind the M3, we can see 3 spots correlating with the intracavity power, even though moving the D-shaped very far does not make them disappear, only weakens them. We don't know where they came from. When this round of experiments is over, we can open the cavity and observe the optical paths.

- Next steps:

  • Repeat the experiment to ensure that the gain does not drop.
  • Long-term measurement at maximum power when the amplifier temperature is safe.
  • Measure the transmittance of the cavity mirrors and the amplifier power.
  • Open the cavity and observe the optical paths and the mirror surface.
Xinyi Lu wrote:

all the injection power in the chart have not been measured recently but during the Loic thesis period.
and these old measurements stopped at 5.5A of pump current.... so, the data at "8A" is a pure estimation.

about the last measurement :
it was made at 6A/8A/8A/8A for the 4 pump diodes of the amplifier (because 1st stage has a Peltier issue and we cannot check its temperature), so the average current is 7.5A instead of 8A.
and the linear scale between pump current and amplifier power is ~ 12W/A, then the estimated amplifier power for the last measurement is 76W instead of 87W
and the estimated gain is more 2658.
for this current, the amplifier works out of its nominal limits (temperature set at 25°C but measured at 30°C !!!)  and the fans of the crate are making noise like hell.
so the last gain estimation should be treated very cautiously.

about the transmission and reflection signals behavior, one can write :
R + T + L = 1 => energy conservation for the cavity.
dR + dT + dL = 0 => dL = - (dR + dT)

if dX = Xfinal - Xinitial, dR and dT are < 0 on the last picture, then dL > 0.
it means that this picture seems to show that some losses are increasing from the beginning of the locking process.


several possibilities :
- we saw a strange D-shape effect on the large port of the cavity.
it seems that one of the D-shape mount/mirror is touching the intra-cavity beam producing some ghost effect on this large cavity port.
some cavity axis changing during the beginning of the lock could introduce some additionnal losses.
it can be easily tested by puting the D-shapes far from the beam.

- because of cavity axis changing at the beginning of the lock, the mirror losses are different.
but it is surprising that it is still going in the same direction... more losses at the end.
could be tested by slightly changing the optical axis of the cavity.

- "prior damage" behavior with a bump in the middle of the mirror due to thermal effect which introduces some losses at the end.
=> if it's the case, it's not a good behavior !!! :-(((
can be tested by looking at the wavefront phase in transmission.

- Non linear effect is the coatings.
but the field density seems not so much to produce this kind of effect

- A thermally induced change in the refractive index of the mirrors.
Daniele mentionned a relation between real and imaginary (related to absorption) parts of this refractive index which could explain that a reflectivity change could induce an absorption change.

Xinyi Lu wrote:

These days, Ronic and I achieved 200kW inside the cavity and 70% coupling efficiency.

- By optimizing the telescope, the coupling reached 70% with iris fully open and maintained 60%-70% coupling at high power.

- The cavity mode went from 2.2mm,2.5mm (38kW) to finally 2.3mm,2.8mm (200kW) without changing a lot.

- Gradually raising the power while optimizing alignment, CEP, and locking, we got the following stable power:

Amp current (A) Injection power (W) Circulating power (kW) Gain
2 10 38 3800
2.3 14 50 3571
3 22 70 3181
4 35 115 3285
5 48 158 3292
8 87(Estimated) 202 2322

- Next steps:

  • Explain the strange drop phenomenon that occurs at high power, where both transmission and reflection drop, as in Fig. 2.
  • Maintains a half-hour locking at 200kW. Now the temperature of the amplifier at 8A is over 40 degrees, which may be risky.

 

 

 

 

 

 

Attachment 1: record.png
record.png
Attachment 2: power_vs_time_550.jpg
power_vs_time_550.jpg
Attachment 3: 1A.JPG
1A.JPG
  211   Thu Apr 4 21:48:16 2024 Xinyi LuFixedinfolasers and opticsOptical roomLarger beam size & Spectrum

- We re-measured the gain before moving the mirror. Gain ~9000 was achieved at 3A, but as the power increased, the gain dropped and was difficult to optimize. In fact, we found that each day the gain was a little higher than the previous day.

Amp current (A) Injection power (W) Circulating power (kW) Gain(coupling~0.7) Finesse
3 23.5 213 9046 33595
4 35.5 309 8692 32933
5 47 390 8292 32165

- We then moved the M3 spherical mirror 1.7mm to make the beam size larger and measured the variation in cavity mode size at different powers. (Figure 1, red is the original result and blue is the result for a larger cavity mode). It is clear that the larger the cavity mode, the larger the slope. The new slope of w_y is 7.9mm/MW. Tomorrow we will make the cavity mode smaller (like in Carstens' paper) and compare the three curves.

- It is not simple to compare the gain variations of different cavity modes because it takes more time to optimize the telescope and alignment. Ronic suggested that we could compensate for the cavity mode variation by moving the spherical mirror to see how the gain changes at different powers while keeping the cavity mode unchanged.

- In addition, we measured the spectrum of the menhir laser, after cvgb, amplifier output at 3A (Figure 2). We found that the peak changed from 1031 nm to 1032 nm after CVBG, probably because of the imperfect alignment of CVBG.

Xinyi Lu wrote:

- Today we moved the position of the D-shaped mirror at 6A. When motor1 (vertical) is 0.2mm away from the spot, the power in the cavity rises from 457kW to 483kW. Gain=8407 is similar to that at low power (Gain=8511). So the D-shaped mirror lost some of the gain in the previous experiments. At 4A and 5A we did not move the D-shaped mirror. (Figure 1)

- At 8A, we got 553 kW inside the cavity for one minute (Figure 2). The pump temperature is higher than yesterday (up to 34°C).

- At 7.5A and 8A, the cavity can remain stably locked, but the power fluctuation in the cavity is so large that it is difficult to optimize the alignment. This may be due to the short time the amplifier was on, the pump temperature, amplifier pointing and power fluctuations, and thermal effects in the cavity....... The amplifier operated differently at different moments.

- We measured the spectrum of the amplified laser. (Figure 3) The peak is 1032.2 nm. We will optimize the alignment and increase the power to optimize this measurement.

- Next arrangement
   Thursday: larger laser beam size
   Friday: smaller laser beam size
   Monday: finesse measurement with CW laser (Firstly check the possibility of measuring with pulsed laser)

Xinyi Lu wrote:

Yesterday, Ronic, Xing, Qili and I achieved a more stable 520kW power at 7.5A (71W injection) by optimizing the alignment and locking parameters. (Figure 1)

- The cavity can be stable locked when airflow is on. At 7.5A, the pump temperature is about 28℃. The chiller temperature didn't change, to the same 23 ℃ setting. We can try 8A later (75W injection) for a short time;

- Figure 2 demonstrates the cavity mode variation, wy/Pc ~ 1.7 mm/MW, half that of the OL paper (3.3 mm/MW). The thermal deformation of our device is much smaller.

- The experimental data are shown in Figure 3. Figure 4 shows the injection power vs circulating power.

- There are some tests that can be done at the moment. I'll update on the elog after discussing the necessity today. ^_^

 

 

 
 

 

 

Attachment 1: cavitymode_vs_power_bigger.jpg
cavitymode_vs_power_bigger.jpg
Attachment 2: spectrum.png
spectrum.png
  212   Mon Apr 8 08:34:54 2024 Xinyi LuFixedinfolasers and opticsOptical roomDifferent cavity modes & Pulse width

- Last week, we obtained three curves of the variation of different cavity modes with power (Fig. 1). By comparing the gain for similar cavity mode sizes, we found that the gain always drops with increasing power.

- We measured the pulse width. The pulse width of the seed laser, after CVBG, amplified at 2A was measured by UPD (rise time < 70ps). Code filtering was performed by comparing the data to reduce the effect of rise time. The final result was t= 186 ps after CVBG and t=162 ps for the amplified at 2A.

- Today we will measure finesse using CW laser.

Xinyi Lu wrote:

- We re-measured the gain before moving the mirror. Gain ~9000 was achieved at 3A, but as the power increased, the gain dropped and was difficult to optimize. In fact, we found that each day the gain was a little higher than the previous day.

Amp current (A) Injection power (W) Circulating power (kW) Gain(coupling~0.7) Finesse
3 23.5 213 9046 33595
4 35.5 309 8692 32933
5 47 390 8292 32165

- We then moved the M3 spherical mirror 1.7mm to make the beam size larger and measured the variation in cavity mode size at different powers. (Figure 1, red is the original result and blue is the result for a larger cavity mode). It is clear that the larger the cavity mode, the larger the slope. The new slope of w_y is 7.9mm/MW. Tomorrow we will make the cavity mode smaller (like in Carstens' paper) and compare the three curves.

- It is not simple to compare the gain variations of different cavity modes because it takes more time to optimize the telescope and alignment. Ronic suggested that we could compensate for the cavity mode variation by moving the spherical mirror to see how the gain changes at different powers while keeping the cavity mode unchanged.

- In addition, we measured the spectrum of the menhir laser, after cvgb, amplifier output at 3A (Figure 2). We found that the peak changed from 1031 nm to 1032 nm after CVBG, probably because of the imperfect alignment of CVBG.

Xinyi Lu wrote:

- Today we moved the position of the D-shaped mirror at 6A. When motor1 (vertical) is 0.2mm away from the spot, the power in the cavity rises from 457kW to 483kW. Gain=8407 is similar to that at low power (Gain=8511). So the D-shaped mirror lost some of the gain in the previous experiments. At 4A and 5A we did not move the D-shaped mirror. (Figure 1)

- At 8A, we got 553 kW inside the cavity for one minute (Figure 2). The pump temperature is higher than yesterday (up to 34°C).

- At 7.5A and 8A, the cavity can remain stably locked, but the power fluctuation in the cavity is so large that it is difficult to optimize the alignment. This may be due to the short time the amplifier was on, the pump temperature, amplifier pointing and power fluctuations, and thermal effects in the cavity....... The amplifier operated differently at different moments.

- We measured the spectrum of the amplified laser. (Figure 3) The peak is 1032.2 nm. We will optimize the alignment and increase the power to optimize this measurement.

- Next arrangement
   Thursday: larger laser beam size
   Friday: smaller laser beam size
   Monday: finesse measurement with CW laser (Firstly check the possibility of measuring with pulsed laser)

Xinyi Lu wrote:

Yesterday, Ronic, Xing, Qili and I achieved a more stable 520kW power at 7.5A (71W injection) by optimizing the alignment and locking parameters. (Figure 1)

- The cavity can be stable locked when airflow is on. At 7.5A, the pump temperature is about 28℃. The chiller temperature didn't change, to the same 23 ℃ setting. We can try 8A later (75W injection) for a short time;

- Figure 2 demonstrates the cavity mode variation, wy/Pc ~ 1.7 mm/MW, half that of the OL paper (3.3 mm/MW). The thermal deformation of our device is much smaller.

- The experimental data are shown in Figure 3. Figure 4 shows the injection power vs circulating power.

- There are some tests that can be done at the moment. I'll update on the elog after discussing the necessity today. ^_^

 

 

 

Attachment 1: cavitymode_vs_power_f.png
cavitymode_vs_power_f.png
Attachment 2: different_cavity_mode_data.xlsx
  213   Tue Apr 9 08:57:22 2024 Xinyi LuFixedinfolasers and opticsOptical roomDifferent cavity modes & Pulse width

Additional information:

The pulse duration has been performed in RF on a UPD-70-IR2-P photodiode from Alphalas GmbH by carefully deconvoluting the response function of the photodiode measured directly with the sub-picosecond laser beam.

Figure 1 shows the pulse width through the CVBG. Figure 2 is the pulse width when amplified to 10W.

Xinyi Lu wrote:

- Last week, we obtained three curves of the variation of different cavity modes with power (Fig. 1). By comparing the gain for similar cavity mode sizes, we found that the gain always drops with increasing power.

- We measured the pulse width. The pulse width of the seed laser, after CVBG, amplified at 2A was measured by UPD (rise time < 70ps). Code filtering was performed by comparing the data to reduce the effect of rise time. The final result was t= 186 ps after CVBG and t=162 ps for the amplified at 2A.

- Today we will measure finesse using CW laser.

Xinyi Lu wrote:

- We re-measured the gain before moving the mirror. Gain ~9000 was achieved at 3A, but as the power increased, the gain dropped and was difficult to optimize. In fact, we found that each day the gain was a little higher than the previous day.

Amp current (A) Injection power (W) Circulating power (kW) Gain(coupling~0.7) Finesse
3 23.5 213 9046 33595
4 35.5 309 8692 32933
5 47 390 8292 32165

- We then moved the M3 spherical mirror 1.7mm to make the beam size larger and measured the variation in cavity mode size at different powers. (Figure 1, red is the original result and blue is the result for a larger cavity mode). It is clear that the larger the cavity mode, the larger the slope. The new slope of w_y is 7.9mm/MW. Tomorrow we will make the cavity mode smaller (like in Carstens' paper) and compare the three curves.

- It is not simple to compare the gain variations of different cavity modes because it takes more time to optimize the telescope and alignment. Ronic suggested that we could compensate for the cavity mode variation by moving the spherical mirror to see how the gain changes at different powers while keeping the cavity mode unchanged.

- In addition, we measured the spectrum of the menhir laser, after cvgb, amplifier output at 3A (Figure 2). We found that the peak changed from 1031 nm to 1032 nm after CVBG, probably because of the imperfect alignment of CVBG.

Xinyi Lu wrote:

- Today we moved the position of the D-shaped mirror at 6A. When motor1 (vertical) is 0.2mm away from the spot, the power in the cavity rises from 457kW to 483kW. Gain=8407 is similar to that at low power (Gain=8511). So the D-shaped mirror lost some of the gain in the previous experiments. At 4A and 5A we did not move the D-shaped mirror. (Figure 1)

- At 8A, we got 553 kW inside the cavity for one minute (Figure 2). The pump temperature is higher than yesterday (up to 34°C).

- At 7.5A and 8A, the cavity can remain stably locked, but the power fluctuation in the cavity is so large that it is difficult to optimize the alignment. This may be due to the short time the amplifier was on, the pump temperature, amplifier pointing and power fluctuations, and thermal effects in the cavity....... The amplifier operated differently at different moments.

- We measured the spectrum of the amplified laser. (Figure 3) The peak is 1032.2 nm. We will optimize the alignment and increase the power to optimize this measurement.

- Next arrangement
   Thursday: larger laser beam size
   Friday: smaller laser beam size
   Monday: finesse measurement with CW laser (Firstly check the possibility of measuring with pulsed laser)

Xinyi Lu wrote:

Yesterday, Ronic, Xing, Qili and I achieved a more stable 520kW power at 7.5A (71W injection) by optimizing the alignment and locking parameters. (Figure 1)

- The cavity can be stable locked when airflow is on. At 7.5A, the pump temperature is about 28℃. The chiller temperature didn't change, to the same 23 ℃ setting. We can try 8A later (75W injection) for a short time;

- Figure 2 demonstrates the cavity mode variation, wy/Pc ~ 1.7 mm/MW, half that of the OL paper (3.3 mm/MW). The thermal deformation of our device is much smaller.

- The experimental data are shown in Figure 3. Figure 4 shows the injection power vs circulating power.

- There are some tests that can be done at the moment. I'll update on the elog after discussing the necessity today. ^_^

 

 

 

 

Attachment 1: t_cvbg.png
t_cvbg.png
Attachment 2: t_amp.png
t_amp.png
  214   Wed Apr 10 11:35:54 2024 Xinyi LuFixedinfolasers and opticsOptical roomFinesse measurement (35k)

These days, Ronic, Aurélien and I use OEwaves CW laser to measure the finesse of SBOX. We made 5 measurements at 100kHz / 4s sweeps.

The finesse is around 35k (see Figure 1), corresponding to an enhancement factor of 14k.

In our experiments, we only saw up to 9k gain with 70% coupling, corresponding to an enhancement factor of 12.8k.

It could be because of the additional losses introduced by the high power, or the mirror became cleaner after the experiment......

Additionally, we found that the output of the OEwaves CW laser was not a perfect circle, with a depression at the edge of the circle.

Attachment 1: 5_measurements_of_finesse.png
5_measurements_of_finesse.png
Attachment 2: fit.png
fit.png
  215   Thu Apr 11 19:09:21 2024 Xinyi LuFixedinfolasers and opticsOptical roomInstall 2-mirror cavity

Today, Viktor and I started installing the two-mirror cavity.
- Firstly, we cleaned the environment and the dust counter showed good cleanliness
- After opening the cavity we tried to determine the source of the strange spot with a laser detection card and found that the beam was very close to the front edge of the longitudinal D-shaped mirror. In addition there was nothing else strange.
- The setup of the two-mirror cavity is shown in Figure 1. We have to use the menhir laser of 216MHz. The mirrors used are shown in Figure 2.
- We have installed the M2 and will continue the installation tomorrow.

Attachment 1: 2_mirror_setup.png
2_mirror_setup.png
Attachment 2: mirrors.png
mirrors.png
  216   Fri Apr 12 17:18:15 2024 Xinyi LuFixedinfolasers and opticsOptical roomInstall 2-mirror cavity

Today Viktor and I completed the installation of the two-mirror cavity and managed to lock and measure the finesse.

- The finesse is 36k now (see figure 1). For the designed value of the mirror, the expected finesse is ~50k.

- The diameter of M2 transmission is 1.67 mm,1.65 mm (see figure 2).

- The installation process took a lot of time in orienting the PBS. In addition, we found that the cavity reflected beam and the window reflected beam would interfere (see figure 3). The small spot in the lower right corner is the window reflected light.

- We need to discuss whether the next step is to clean the mirrors or vacuum and move on. 

Xinyi Lu wrote:

Today, Viktor and I started installing the two-mirror cavity.
- Firstly, we cleaned the environment and the dust counter showed good cleanliness
- After opening the cavity we tried to determine the source of the strange spot with a laser detection card and found that the beam was very close to the front edge of the longitudinal D-shaped mirror. In addition there was nothing else strange.
- The setup of the two-mirror cavity is shown in Figure 1. We have to use the menhir laser of 216MHz. The mirrors used are shown in Figure 2.
- We have installed the M2 and will continue the installation tomorrow.

 

 
 

 

 

Attachment 1: finesse_2mirror.png
finesse_2mirror.png
Attachment 2: Screenshot_2024-04-12_170357.png
Screenshot_2024-04-12_170357.png
Attachment 3: Screenshot_2024-04-12_145025.png
Screenshot_2024-04-12_145025.png
  217   Mon Apr 15 18:19:40 2024 Xinyi LuFixedinfolasers and opticsOptical roomFinesse measurement of 2-mirror cavity

- Today Daniele and I cleaned the spherical mirror by wiping it with alcohol, and the finesse increased to 47k in air.

- After vacuuming, the final finesse is about 45k. The enhancement factor is expected to be 23k.

- Then we tuned the cavity length, FSR = 216.666 MHz. Aurélien helped us to install the menhir laser of 216 MHz.

- Tomorrow we will optimize the optical path and inject the laser into the fiber.

Xinyi Lu wrote:

Today Viktor and I completed the installation of the two-mirror cavity and managed to lock and measure the finesse.

- The finesse is 36k now (see figure 1). For the designed value of the mirror, the expected finesse is ~50k.

- The diameter of M2 transmission is 1.67 mm,1.65 mm (see figure 2).

- The installation process took a lot of time in orienting the PBS. In addition, we found that the cavity reflected beam and the window reflected beam would interfere (see figure 3). The small spot in the lower right corner is the window reflected light.

- We need to discuss whether the next step is to clean the mirrors or vacuum and move on. 

Xinyi Lu wrote:

Today, Viktor and I started installing the two-mirror cavity.
- Firstly, we cleaned the environment and the dust counter showed good cleanliness
- After opening the cavity we tried to determine the source of the strange spot with a laser detection card and found that the beam was very close to the front edge of the longitudinal D-shaped mirror. In addition there was nothing else strange.
- The setup of the two-mirror cavity is shown in Figure 1. We have to use the menhir laser of 216MHz. The mirrors used are shown in Figure 2.
- We have installed the M2 and will continue the installation tomorrow.

 

 

Attachment 1: finesse_45k.png
finesse_45k.png
  218   Tue Apr 16 18:38:04 2024 Xinyi LuFixedinfolasers and opticsOptical roomFiber injection, spectrum and connection of 2nd stage amplifier

Today, Daniele and I injected the laser into the fiber, installed the telescope, connected the second stage of the amplifier, and obtained resonances.
- The output power of the menhir laser @ 216MHz is 150mW, after CVBG is 28mW , 9.6mW injected into the fiber, and 1.6mW via AOM and EOM. This is not far from the minimum 1mW seed power required by the amplifier.
- The spectrum after CVBG is shown in Figure 1.
- The waist of this 2-mirror cavity is 0.583 mm, and the position is on the M1. A set of telescopes is designed and installed as in Figure 2.
- We injected the second stage of the amplifier into the cavity and obtained fundamental mode. Aurélien and I are trying to lock it.

Attachment 1: CVBG_inject_to_fiber.png
CVBG_inject_to_fiber.png
Attachment 2: telescope.png
telescope.png
  219   Thu Apr 25 22:12:25 2024 Xinyi LuFixedinfolasers and opticsOptical room2 mirror cavity high power experiments

Today, Ronic and I recorded some intracavity power and cavity mode size as shown in Fig. 1.

Coupling was calculated using the locking curve of this overcoupled cavity. Pr/Pi = 1-Cgeo*Cimp, Cimp = 1-|1-2T1/RTL|^2

We can see that the effective gain, coupling, and mode size decrease with increasing power. And the beam is constantly moving.

Tomorrow we will try to optimize the telescope for the high-power hot cavity.

 
 

 

 

Attachment 1: record_20240425.png
record_20240425.png
Attachment 2: Screenshot_2024-04-25_4_155354-155kw.png
Screenshot_2024-04-25_4_155354-155kw.png
Attachment 3: Screenshot_2024-04-25_1_154630-155kw.png
Screenshot_2024-04-25_1_154630-155kw.png
Attachment 4: 60kW_highordermode2.jpg
60kW_highordermode2.jpg
  220   Mon May 6 18:38:18 2024 Xinyi LuFixedinfolasers and opticsOptical roomhigh-power experiments of 2-mirror cavity

Today, Ronic, Daniele and I redo the high-power 2-mirror cavity experiments, and the results are shown in the table (Figure 1 and Excel 2 ).

- The intracavity power ~500kW can be obtained at 47W injection, but we then have no increase or even a decrease in intracavity power when increasing the injection power, and the coupling is decreasing. It looks like the saturation power of the current device.

- We moved the telescope last week at 2A by moving the concave lens 0.5cm closer to the cavity but almost no change in intracavity power (195kW to 193kW). The telescopes for today's experiment are in the new locations from last week, and we didn't move them today.

- Figure 3 shows the locking curve at 500kW with some thermal effect changes.

- Figure 4 shows the de-lock and to-lock curves at 14kW.

- The current results may be due to two causes, the thermal lensing effect and the physical change in the mirror coating. It is possible that the transmission of the two mirrors changes with temperature.

- The next plan is to adjust the telescope at 4A to see if we can increase the intracavity power. Meanwhile, do some simulations about dynamic locking, coupling rate, and transmittance.

Xinyi Lu wrote:

Today, Ronic and I recorded some intracavity power and cavity mode size as shown in Fig. 1.

Coupling was calculated using the locking curve of this overcoupled cavity. Pr/Pi = 1-Cgeo*Cimp, Cimp = 1-|1-2T1/RTL|^2

We can see that the effective gain, coupling, and mode size decrease with increasing power. And the beam is constantly moving.

Tomorrow we will try to optimize the telescope for the high-power hot cavity.

 

Attachment 1: record_20240506.png
record_20240506.png
Attachment 2: record20240506.xlsx
Attachment 3: Screenshot_2024-05-06_11_145855-500kW.png
Screenshot_2024-05-06_11_145855-500kW.png
Attachment 4: Screenshot_2024-05-06_1_112931-14kW.png
Screenshot_2024-05-06_1_112931-14kW.png
  221   Thu May 16 18:51:17 2024 Xinyi LuFixedinfolasers and opticsOptical roomhigh-power experiments of 2-mirror cavity

here is a Matlab code to try to optimize the telescope for a hot cavity,
taking into account the thermal lens in the coupling mirror.

from that code, one can deduce using the "Gaussian Beam" software (using the attached xml file) an optimized telescope with 100% geometrical coupling @ Pcav = 700kW and absorption in the coatings = 0.6ppm

Xinyi Lu wrote:

Today, Ronic, Daniele and I redo the high-power 2-mirror cavity experiments, and the results are shown in the table (Figure 1 and Excel 2 ).

- The intracavity power ~500kW can be obtained at 47W injection, but we then have no increase or even a decrease in intracavity power when increasing the injection power, and the coupling is decreasing. It looks like the saturation power of the current device.

- We moved the telescope last week at 2A by moving the concave lens 0.5cm closer to the cavity but almost no change in intracavity power (195kW to 193kW). The telescopes for today's experiment are in the new locations from last week, and we didn't move them today.

- Figure 3 shows the locking curve at 500kW with some thermal effect changes.

- Figure 4 shows the de-lock and to-lock curves at 14kW.

- The current results may be due to two causes, the thermal lensing effect and the physical change in the mirror coating. It is possible that the transmission of the two mirrors changes with temperature.

- The next plan is to adjust the telescope at 4A to see if we can increase the intracavity power. Meanwhile, do some simulations about dynamic locking, coupling rate, and transmittance.

Xinyi Lu wrote:

Today, Ronic and I recorded some intracavity power and cavity mode size as shown in Fig. 1.

Coupling was calculated using the locking curve of this overcoupled cavity. Pr/Pi = 1-Cgeo*Cimp, Cimp = 1-|1-2T1/RTL|^2

We can see that the effective gain, coupling, and mode size decrease with increasing power. And the beam is constantly moving.

Tomorrow we will try to optimize the telescope for the high-power hot cavity.

 

 

Attachment 1: telescope_optimization_for_700kW.pdf
Attachment 2: 2_Mirrors_-_216MHz_-_700kW_cavity_setup.xml
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE gaussianBeam>
<gaussianBeam version="1.1">
    <bench id="0">
        <wavelength>1.03e-06</wavelength>
        <leftBoundary>0</leftBoundary>
        <rightBoundary>3</rightBoundary>
        <targetBeam id="0">
            <position>1.884</position>
            <waist>0.0005927</waist>
            <positionTolerance>0.1</positionTolerance>
            <waistTolerance>0.01</waistTolerance>
            <minOverlap>0.98</minOverlap>
            <overlapCriterion>0</overlapCriterion>
        </targetBeam>
        <beamFit id="0">
            <name>Fit0</name>
            <dataType>1</dataType>
            <color>4278190335</color>
            <data id="0">
                <position>0</position>
                <value>0</value>
            </data>
            <data id="1">
                <position>0</position>
                <value>0</value>
            </data>
            <data id="2">
                <position>0</position>
                <value>0</value>
            </data>
        </beamFit>
        <opticsList>
            <inputBeam id="2">
                <waist>0.0001447</waist>
                <index>1</index>
                <M2>1</M2>
                <position>0.189</position>
                <name>w0</name>
                <absoluteLock>1</absoluteLock>
            </inputBeam>
            <lens id="5">
                <focal>0.25</focal>
                <position>1</position>
                <name>L3</name>
                <absoluteLock>0</absoluteLock>
            </lens>
            <lens id="6">
                <focal>-0.15</focal>
                <position>1.25</position>
                <name>L4</name>
                <absoluteLock>0</absoluteLock>
            </lens>
            <lens id="11">
                <focal>0.457</focal>
                <position>1.979</position>
                <name>L4</name>
                <absoluteLock>1</absoluteLock>
            </lens>
            <dielectricSlab id="8">
                <indexRatio>1</indexRatio>
                <width>0.01</width>
                <position>1.979</position>
                <name>D2</name>
                <absoluteLock>1</absoluteLock>
            </dielectricSlab>
            <dielectricSlab id="7">
                <indexRatio>1</indexRatio>
                <width>0.01</width>
                <position>2.6708</position>
                <name>D1</name>
                <absoluteLock>1</absoluteLock>
            </dielectricSlab>
        </opticsList>
    </bench>
    <view id="0" bench="0">
        <horizontalRange>3</horizontalRange>
        <verticalRange>0.009999</verticalRange>
        <origin>0</origin>
        <showTargetBeam id="0">1</showTargetBeam>
    </view>
</gaussianBeam>
Attachment 3: cavity_2M_dynamic_thermal_effect.m
clear
clc

c=3e8;
lambda=1030e-9;
Pin=35;
Gcav=20e3;

%% 2M-cavity geometrical setup definition
FSR=216.67e6;           % Free Spectral Range of the FP-cavity
Lrt=c/FSR;              % round trip distance in the FP-cavity
L=Lrt/2;                % distance between mirrors
iR10=0;                 % cold ROC of M1
iR20=1/2.241;           % cold ROC of M2

%% 2M-cavity thermal setup definition
A_Coating=0.6e-6;       % absorption in the coatings
% Heraeus Suprasil 3001 parameters
n_Sup3001=1.45;         % refractive index for Fused Silica
A_Sup3001=0.3e-6;       % 0.3+/-0.2 ppm/cm @ 1064nm
kappa_Sup3001=1.38;     % 1.38 W/m/K @ 20°C    / 1.46W/m/K @ 100°C
alpha_Sup3001=0.6e-6;   % 0.51ppm/K @ 0-100°C / 0.59ppm/K @ 0-300°C
beta_Sup3001=8e-6;      % cf Suprasil 3001 documentation
% Corning 7972 ULE parameters
n_ULE=1.45;             % refractive index for ULE
kappa_ULE=1.31;         % 1.31 W/m/K @ 25°C
alpha_ULE=10e-9;        % Premium grade < 10ppb/K
beta_ULE=11e-6;         % 11.24ppm/K @ 40-60°C / 10.68ppm/K @ 20-40°C

%% 2M-cavity cold mode definition
zw0=iR10*L*(1-iR20*L)/(iR10+iR20-2*L*iR10*iR20);
zr0=sqrt(L*(1-L*iR10)*(1-L*iR20)*(iR10+iR20-L*iR10*iR20))/(iR10+iR20-2*L*iR10*iR20);

% complex radius at z=0 (M1)
q0=-zw0+1i*zr0;
% beam size at z=0 (M1)
wm10=sqrt(lambda/pi/zr0)*abs(q0);
% complex radius at z=L (M2)
qL=L-zw0+1i*zr0;
% beam size at z=L (M2)
wm20=sqrt(lambda/pi/zr0)*abs(qL);

% beam profiler position
Lb=0.67;
% definition of the z-axis
Nz=1e3;
z=linspace(-zr0,L+Lb,Nz);
idm=z<=0;
idp=z>=0 & z<=L;
idb=z>=L;

%% telescope definition
% cold optimization
zwT=zw0;
zrT=zr0;
% hot optimization
zwT=-0.38;
zrT=0.155;
qT=z-zwT+1i*zrT;
wT=sqrt(lambda/pi/zrT)*abs(qT);

%% geometrical coupling definition
C0=4*zrT*zr0/((zwT-zw0)^2+(zrT+zr0)^2);

Nk=200;
Pcav=zeros(1,Nk);
C=C0*ones(1,Nk);
wm1=wm10*ones(1,Nk);
wm2=wm20*ones(1,Nk);
kt=0.05;
iR1th_f=0;
iR2th_f=0;
iR1thl_f=0;
iR2thl_f=0;

figure(1)
clf
hold on
grid on
xlabel('z position (m)')
ylabel('beam size (µm)')
plot(z(idm),wT(idm)*1e6,'r')
ylim([0 900])

for k=1:Nk

    % cavity power
    Pcav(k)=Gcav*C(k)*Pin*(k>1);
    % absorbed power in coatings
    Pa=A_Coating*Pcav(k);
    % thermal ROC for M1 and M2
    iR1th_i=-alpha_Sup3001/(2*pi*kappa_Sup3001*wm1(k)^2)*Pa;
    iR2th_i=-alpha_ULE/(2*pi*kappa_ULE*wm2(k)^2)*Pa;
    % thermal lens for M1 and M2
    iR1thl_i=beta_Sup3001/(2*pi*kappa_Sup3001*wm1(k)^2)*Pa;
    iR2thl_i=-0*beta_ULE/(2*pi*kappa_ULE*wm2(k)^2)*Pa;

    % slow thermal effect simulation
    iR1th_f=iR1th_f+kt*(iR1th_i-iR1th_f);
    iR2th_f=iR2th_f+kt*(iR2th_i-iR2th_f);
    iR1thl_f=iR1thl_f+kt*(iR1thl_i-iR1thl_f);
    iR2thl_f=iR2thl_f+kt*(iR2thl_i-iR2thl_f);

    % total ROC for M1 and M2
    iR1=iR10+iR1th_f;
    iR2=iR20+iR2th_f;
    % total ROC in tranmission for M1 and M2
    iR1t=iR10+iR1thl_f;
    iR2t=iR20+iR2thl_f;

    % cavity mode parameters
    zw=iR1*L*(1-iR2*L)/(iR1+iR2-2*L*iR1*iR2);
    zr=sqrt(L*(1-L*iR1)*(1-L*iR2)*(iR1+iR2-L*iR1*iR2))/(iR1+iR2-2*L*iR1*iR2);
    q0=-zw+1i*zr;
    qL=L-zw+1i*zr;
    q=z-zw+1i*zr;
    w=sqrt(lambda/pi/zr)*abs(q);

    % beam from telescope to cavity
    zwTA=(zwT+2*iR1t*(zrT^2+zwT^2))/(1+4*iR1t*zwT+4*iR1t^2*(zwT^2+zrT^2));
    zrTA=zrT/(1+4*iR1t*zwT+4*iR1t^2*(zwT^2+zrT^2));
    qTA=z-zwTA+1i*zrTA;
    wTA=sqrt(lambda/pi/zrTA)*abs(qTA);

    % beam after the cavity
    zwOUT=(zw+2*iR2t*(zr^2+zw^2))/(1+4*iR2t*zw+4*iR2t^2*(zw^2+zr^2));
    zrOUT=zr/(1+4*iR2t*zw+4*iR2t^2*(zw^2+zr^2));
    qOUT=z-zwOUT+1i*zrOUT;
    wOUT=sqrt(lambda/pi/zrOUT)*abs(qOUT);

    % plots
    plot(z(idp),w(idp)*1e6,'k')
    plot(z(idp),wTA(idp)*1e6,'r')
    %plot(z(idb),wOUT(idb)*1e6,'b')

    % coupling calculation
    if k<Nk
        wm1(k+1)=sqrt(lambda/pi/zr)*abs(q0);
        wm2(k+1)=sqrt(lambda/pi/zr)*abs(qL);
        C(k+1)=4*zrTA*zr/((zwTA-zw)^2+(zrTA+zr)^2);
    end

end

figure(2)
clf
plot(Pcav/1e3)
grid on
ylim([0 max(Pcav/1e3)])
ylabel('cavity power (kW)')

figure(3)
clf
plot(C)
grid on
ylim([0 1])
ylabel('coupling (A.U)')

zwT=(zw-2*iR1t*(zr^2+zw^2))/(1-4*iR1t*zw+4*iR1t^2*(zw^2+zr^2));
zrT=zr/(1-4*iR1t*zw+4*iR1t^2*(zw^2+zr^2));

disp(['waist position for telescope from hot cavity  : ' num2str(zwT) ' m'])
disp(['Rayleigh length for telescope from hot cavity : ' num2str(zrT) ' m'])
ELOG V3.1.4-395e101