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Optical matrix with double demodulation
by
Gabriele Vajente
—
last modified
2008-06-25 11:31
Small Schnupp asymmetry - SB2 resonant only in SRC
In this finesse simulation, SB2 is generated by amplitude modulation. All signals coming from beatings of CAR-SB1 and CAR-SB3 are exactly the one obtained with single demodulation.
In addition, signals from the beatings of SB2 with SB1 and SB3 can be extracted. Here the demodulation happens at the difference of the frequencies:
- 2M1 signals are demodulated at 81514409.5 Hz
- 2M3 signals are demodulated at 79424163.1 Hz
- ASY_2M1: MICH
- ASY_2M3: MICH
- SYM_2M1: PRCL
- SYM_2M3: PRCL
- POBS_2M1: SRCL
- POBS_2M3: SRCL
- POX_2M1: SRCL
- POX_2M3: SRCL
- POY_2M1: SRCL
- POY_2M3: SRCL
The finesse input file can be found here.
The resulting transfer function, only for the central area output ports, can be found in a single PDF file here.
DC optical matrix
The transfer function shown above are almost frequency independent, at least for the dominant dofs and for lower frequencies. The following table summarizes the low frequency value of the transfer functions:
| Signal | DARM | CARM | PRCL | MICH | SRCL |
| ASY_2M1_P | +1.26e-01 | +3.27e-02 | -2.50e-03 | +3.36e+00 | +4.42e-01 |
| ASY_2M1_Q | -7.26e-04 | +4.97e-01 | -5.87e-01 | +1.80e-03 | +6.59e+00 |
| ASY_2M3_P | -7.16e-03 | -1.83e-03 | +1.09e-03 | -1.89e-01 | -2.51e-02 |
| ASY_2M3_Q | -3.77e-05 | +2.80e-02 | -5.71e-03 | -1.43e-04 | +3.71e-01 |
| SYM_2M1_P | +9.72e-02 | -5.74e+00 | -3.11e+03 | -2.96e+02 | -4.63e+01 |
| SYM_2M1_Q | -1.73e+00 | -3.97e-01 | +2.32e+00 | -2.32e+01 | -5.37e+00 |
| SYM_2M3_P | -1.01e-01 | +2.63e+00 | +5.83e+02 | +2.94e+02 | +4.71e+01 |
| SYM_2M3_Q | +1.76e+00 | +4.09e-01 | +1.57e-01 | +2.38e+01 | +5.51e+00 |
| POBS_2M1_P | -3.17e-03 | -1.33e-01 | +1.62e-01 | -9.54e-03 | -1.76e+00 |
| POBS_2M1_Q | -3.31e-02 | -1.29e-03 | +6.71e-02 | -4.33e-01 | -3.03e-03 |
| POBS_2M3_P | -1.16e-04 | -4.89e-03 | +9.52e-04 | -3.52e-04 | -6.46e-02 |
| POBS_2M3_Q | +1.22e-03 | +4.91e-05 | -6.18e-04 | +1.59e-02 | +1.05e-04 |
| POX_2M1_P | +6.63e-04 | +1.28e-01 | -1.63e-01 | +9.97e-03 | +1.76e+00 |
| POX_2M1_Q | -3.21e-02 | +9.41e-04 | +6.70e-02 | -4.33e-01 | -1.33e-03 |
| POX_2M3_P | -2.39e-05 | -4.70e-03 | +9.52e-04 | -3.60e-04 | -6.46e-02 |
| POX_2M3_Q | -1.18e-03 | +3.04e-05 | +6.18e-04 | -1.59e-02 | -7.49e-05 |
| POY_2M1_P | -3.02e-03 | -1.28e-01 | +1.44e-01 | -1.12e-02 | -1.76e+00 |
| POY_2M1_Q | +3.19e-02 | +1.54e-03 | +8.55e-02 | +4.47e-01 | +3.52e-03 |
| POY_2M3_P | +1.10e-04 | +4.69e-03 | -1.01e-03 | +3.99e-04 | +6.43e-02 |
| POY_2M3_Q | +1.17e-03 | +5.40e-05 | +3.70e-04 | +1.63e-02 | +1.46e-04 |