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Message ID: 60     Entry time: Mon Jul 25 15:35:31 2016
Author: Gabriele 
Type: Optics 
Category: Characterization 
Subject: Calibration of the QPD in physical units 

The equations below are wrong. Please refer to https://nodus.ligo.caltech.edu:8081/CRIME_Lab/116 for the correct results

I measured the properties of the beam on the QPD. The total power is 31 uW. The beam shape is not gaussian, since we are seeing the interference of the reflection from the two surfaces:

The X and Y diameters are 1400 and 1300 microns, so I take the average of the two as an estimate of the beam size: 1300 +- 100 um. I also estimated the lever arm length to be 1.03 +- 0.02 m.

This allows me to esitmate the response of the normalized QPD signal to a tilt of the disk surface:

\frac{s}{P_0}=\frac{4}{\pi w^2} \cdot 2L \cdot \theta_{disk}

Plugging in the numbers gives a gain of (1900 +- 300) /rad for the normalized signals. I implemented those numbers in the filter banks: now X_NORM and Y_NORM have units of radians, and measure the disk surface angular motion. I also calibrated the SUM channel in microwatts, using the nominal responsivity of 0.45 A/W and the transimpedance of 200k (gain 11.1 uW/V)

Here's teh calibrated spectrum: note that the background noise is much larger than the real one because of the signal jumps.

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