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Message ID: 9614     Entry time: Sat Feb 8 15:14:18 2014
Author: ericq 
Type: Update 
Category: LSC 
Subject: PRM Sideband Splitting 

[ericq]

Today, I kicked the PRM to see the sideband splitting in POP110. 

First, we can qualitatively see we moved in the right direction! (See ELOG 9490)

PRCpeaks.pdf

I fit the middle three peaks to a sum of two Lorentzian profiles ( I couldn't get Airy peaks to work... but maybe this is ok since I'm just going to use the location parameter?), and looked at the sideband splitting as a fraction of the FSR, in the same way as in Gabriele's ELOG linked above.

This gave: c / (4 * f55) * (dPhi / FSR) = 0.014 +- .001 

Since the PRC length with simultaneous resonance (to 1mm) is given by c / (4 * f11) = 6.773, this means our length is either 6.759m or 6.787m (+- .001). Given the measurement in ELOG 9588, I assume that we are on the short side of the simultaneous resonance. Thus

The sideband splitting observed from this kick indicates a PRC length of 6.759m +- 1mm

ELOG V3.1.3-