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Entry  Sun Feb 3 13:20:02 2013, Koji, Summary, General, Hypothesis mode_density_PRC.pdfmode_density_PRC.zip
    Reply  Mon Feb 4 10:45:51 2013, Jamie, Summary, General, rough analysis of aligned PRM-PR2 mode scan scan-labeled.pdf
       Reply  Mon Feb 4 11:10:59 2013, Koji, Summary, General, rough analysis of aligned PRM-PR2 mode scan 
          Reply  Mon Feb 4 19:33:19 2013, yuta, Summary, General, rough analysis of aligned PRM-PR2 mode scan 3peakdata.png
             Reply  Tue Feb 5 02:04:44 2013, yuta, Summary, General, rough analysis of aligned PRM-PR2 mode scan PRMPR2scan.png
                Reply  Tue Feb 5 03:16:51 2013, Koji, Summary, General, rough analysis of aligned PRM-PR2 mode scan 
                   Reply  Tue Feb 5 10:09:08 2013, yuta, Summary, General, rough analysis of aligned PRM-PR2 mode scan 
                      Reply  Tue Feb 5 11:30:19 2013, Koji, Summary, General, rough analysis of aligned PRM-PR2 mode scan 
                         Reply  Wed Feb 13 01:26:08 2013, yuta, Summary, General, rough analysis of aligned PRM-PR2 mode scan unbiased.png
       Reply  Wed Feb 6 15:20:55 2013, yuta, Summary, General, FWHM was wrong 
    Reply  Mon Feb 4 15:06:56 2013, Koji, Summary, General, Hypothesis 
    Reply  Mon Feb 4 19:48:32 2013, Jamie, Summary, General, arbcav recalc of PRC with correct ITM transmission mode_density_PRC_2.pdfmode_density_PRC_3.pdf
Message ID: 7990     Entry time: Mon Feb 4 10:45:51 2013     In reply to: 7989     Reply to this: 7991   8012
Author: Jamie 
Type: Summary 
Category: General 
Subject: rough analysis of aligned PRM-PR2 mode scan 

Here's a sort of rough analysis of the aligned PRM-PR2 cavity mode scan.

On Friday we took some mode scan measurements of the PRM-PR2 cavity by pushing PRM (C1:SUS-PRM_LSC_EXT) with a 0.01 Hz, 300 count sine wave.  We looked at the transmitted power on the POP DC PD and the error signal on REFL11_I.

Below is a detail of the scan, chosen because the actuation was in its linear region and there were three relatively ok looking transmission peaks with nice PDH response curves:

scan-labeled.pdf

The vertical green lines on the bottom plot indicate the rough averaged separation of the 11 MHz side-band resonances from the carrier, at +- 0.0275 s.  If we take this for our calibration, we get roughly 400 MHz / second.

The three peaks in top plot have an average FWHM of 0.00381 s.  Given the calibration above, the average FWHM = ~1.52 MHz.

If we assume a cavity length of 1.91 m, FSR = 78.5 MHz.

Putting this together we get a finesse = ~51.6.

Analysis of misaligned mode scans to follow.

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