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Entry  Wed Sep 10 22:17:29 2014, Koji, Summary, LSC, X/Y green beat mode overlap measurement 
    Reply  Mon Jun 22 12:57:09 2015, ericq, Summary, LSC, X/Y green beat mode overlap measurement redone 
       Reply  Mon Jun 22 14:53:37 2015, rana, Summary, LSC, X/Y green beat mode overlap measurement redone 
          Reply  Fri Oct 28 15:46:29 2016, gautam, Summary, LSC, X/Y green beat mode overlap measurement redone 
Message ID: 11368     Entry time: Mon Jun 22 12:57:09 2015     In reply to: 10492     Reply to this: 11370
Author: ericq 
Type: Summary 
Category: LSC 
Subject: X/Y green beat mode overlap measurement redone 

I took measurements at the green beat setup on the PSL table, and found that our power / mode overlap situation is still consistent with what Koji and Manasa measured last September [ELOG 10492]. I also measured the powers at the BBPDs with the Ophir power meter.

Both mode overlaps are around 50%, which is fine. 

The beatnote amplitudes at the BBPD outputs at a frequency of about 50MHz are -20.0 and -27.5 dBm for the X and Y beats, respectively. This is consistent with the measured optical power levels and a PD response of ~0.25 A/W at 532nm. The main reason for the disparity is that there is much more X green light than Y green light on the table (factor of ~20), and the greater amount of green PSL light on the Y BBPD (factor of ~3) does not quite make up for it. 

One way to punch up the Y beat a little might be to adjust the pickoff optics. Of 25uW of Y arm transmitted green light incident on the polarizing beamsplitter that seperates the X and Y beams, only 13uW makes it to the Y BBPD, but this would only win us a couple dBms at most. 

In any case, with the beat setup as it exists, it looks like we should design the next beatbox iteration to accept RF inputs of around -20 to -30 dBm. 

In the style of the referenced ELOG, here are today's numbers. 

            XARM   YARM 
o BBPD DC output (mV)
 V_DARK:   +  1.0  + 2.2
 V_PSL:    +  7.1  +21.3
 V_ARM:    +165.0  + 8.2

o BBPD DC photocurrent (uA)
I_DC = V_DC / R_DC ... R_DC: DC transimpedance (2kOhm)

 I_PSL:       3.6   10.7
 I_ARM:      82.5    4.1

o Expected beat note amplitude
I_beat_full = I1 + I2 + 2 sqrt(e I1 I2) cos(w t) ... e: mode overwrap (in power)

I_beat_RF = 2 sqrt(e I1 I2)

V_RF = 2 R sqrt(e I1 I2) ... R: RF transimpedance (2kOhm)

P_RF = V_RF^2/2/50 [Watt]
     = 10 log10(V_RF^2/2/50*1000) [dBm]

     = 10 log10(e I1 I2) + 82.0412 [dBm]
     = 10 log10(e) +10 log10(I1 I2) + 82.0412 [dBm]

for e=1, the expected RF power at the PDs [dBm]
 P_RF:      -13.2  -21.5

o Measured beat note power (no alignment done)     
 P_RF:      -20.0  -27.5  [dBm] (53.0MHz and 46.5MHz) 
    e:       45.7   50.1  [%]                         


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