Reports until 13:19, Monday 07 April 2014
H1 ISC
stefan.ballmer@LIGO.ORG - posted 13:19, Monday 07 April 2014 (11200)
Control matrix for dither arm alignment
Calculated new output matrices for the IAL arm dither alignment:

Loops to be used:
OSC 1: ITM dither
OCS 3: PZT2 (angular dither at end station)
Loop better not used:
OSC 2: dither PZT1 (~position at the end station, but I don't know how accurately this is true.)

The output matrices are designed to only move the degree of freedom seen by the dither, i.e.
OSC 1:  only drives ITM
OSC 3: drives 1.065*ITM + 1*ETM (PIT) and -1.065*ITM + 1*ETM (YAW)
and for completeness
OSC 2: drives 2.065*ITM + 1.779*ETM (PIT) and 2.065*ITM - 1.779*ETM (YAW)

Calculation:
OSC 3:
- To rotate the beam axis around the end station, the ETM-to-ITM ratio has to be 1-to-gITM.
- The relative signs have to be the same as in the "soft" mode for the WFS output matrix.
OSC 2:
- To parallel-shift beam axis the ETM-to-ITM ratio has to be (1-gETM)-to-(1-gITM).
- Again, the relative signs have to be the same as in the "soft" mode for the WFS output matrix.