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Entry  Thu Oct 18 20:23:33 2012, Koji, Optics, Characterization, Improved measurement Cav_scan_response_zoom_20121017.pdfdetailed_RoC_setup.pdf
    Reply  Mon Nov 19 13:33:14 2012, Koji, Optics, Characterization, Resuming testing mirror RoCs Cav_scan_response_zoom_20121016.pdf
Message ID: 31     Entry time: Thu Oct 18 20:23:33 2012     Reply to this: 41
Author: Koji 
Type: Optics 
Category: Characterization 
Subject: Improved measurement 

Significant improvement has been achieved in the RoC measurement.

  • The trans PD has much more power as the BS at the cavity trans was replaced by a 50% BS. This covers the disadvantage of using the a Si PD.
  • The BB EOM has a 50Ohm terminator to ensure the 50Ohm termination at Low freq.
  • The length of the cavity was changed from 1.2m to 1.8m in order to see the effect on the RoC measurement.

By these changes, dramatic increase of the signal to noise ratio was seen.

Now both of the peaks corresponds to the 1st-order higher-order modes are clearly seen.
The peak at around 26MHz are produced by the beat between the carrier TEM00 and the upper-sideband TEM01 (or 10).
The other peak at around 57MHz are produced by the lower-sideband TEM01 (or 10).

 

Peak fitting

From the peak fitting we can extract the following numbers:

  • Cavity FSR (hence the cavity length)
  • Cavity g-factor
  • Approximate measure of the cavity bandwidth

Note that the cavity itself has not been touched during the measurement.
Only the laser frequency and the incident beam alignment were adjusted.

The results are calculated by the combination of MATLAB and Mathemaica. The fit results are listed in the PDF files.
In deed the fitting quality was not satisfactory if the single Lorentzian peak was assumed.

There for two peaks closely lining up with different height. This explained slight asymmetry of the side tails

This suggests that there is slight astigmatism on the mirrors (why not.)

The key points of the results:

- FSR and the cavity length: 83.28~83.31MHz / L=1.799~1.800 [m] (surprisingly good orecision of my optics placement!)

- Cavity g-factor: Considering the flatness of the flat mirror from the phase map, the measured g-factors were converted to the curvature of the curved mirror.
RoC = 2.583~4 [m] and 2.564~7 [m]. (Note: This fluctuation can not be explained by the statistical error.)
The mode split is an order of 10kHz. This number also agrees with the measurement taken yesterday.

If the curved mirror had the nominal curvature of 2.5m, the flat mirror should have the curvature of ~20m. This is very unlikely.

- Approximate cavity line width: FWHM = 70~80kHz. This corresponds to the finesse of ~500. The design value is ~780.
This means that the locking offset is not enough to explain the RoC discrepancy between the design and the measurement.

 

Attachment 1: Cav_scan_response_zoom_20121017.pdf  241 kB  Uploaded Thu Oct 18 21:24:19 2012  | Hide | Hide all
Cav_scan_response_zoom_20121017.pdf
Attachment 2: detailed_RoC_setup.pdf  118 kB  Uploaded Thu Oct 18 21:38:15 2012  | Hide | Hide all
detailed_RoC_setup.pdf
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