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Entry  Tue Apr 15 02:19:54 2014, Jenne, Update, LSC, Analog phasing of REFL11 and REFL55 
    Reply  Tue Apr 15 02:26:45 2014, ericq, Update, LSC, Analog phasing of REFL11 and REFL55 
    Reply  Tue Apr 15 08:55:57 2014, Koji, Update, LSC, Analog phasing of REFL11 and REFL55 
Message ID: 9812     Entry time: Tue Apr 15 08:55:57 2014     In reply to: 9810
Author: Koji 
Type: Update 
Category: LSC 
Subject: Analog phasing of REFL11 and REFL55 

I have never used such a long cable for RF phase adjustment. The speed of the signal is 2e8 m/s and the frequency is ~10e6 Hz.
This means that the wavelength is only about 20m. How could you end up with ~100meters?
The convenient way to remember the cable delay is "1m, 1MHz, 2deg". This gives us ~1.5m for 11MHz and 34deg.

In fact, 1 degree of phase shift is not 1/(2 pi freq) second of delay, but f/360.

For such a precise phase adjustment, it is better to calibrate the delay with the network analyzer.

Quote:

We calculated that about 1 degree of phase shift is about 1/(2 * pi * freq), or about 1.4e-8 seconds of delay for 11MHz.  We took the speed of light in the cables to be about 2/3*c, so 1.4e-8 * 2e8 = 2.9 meters per degree for 11MHz.  Since REFL11 was 34 degrees from 0, we estimate that we need to add about 98 meters of cable to the REFL11 signal path.  The same calculation for 55 MHz, but with a 15 degree shift required, gives 8.8 meters of cable to be added to the REFL55 signal path.   

 

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