Summary:
1) Hrec noise in the bucket scales inversely with optical gain; the noise in W/sqrt(Hz) is independent on optical gain;
2) the coupling of frequency noise in DARM is correlated with contrast defect;
3) when subtracting the (usually small) contribution from SSFS, Hrec noise in the bucket is basically independent on contrast defect.
The attached plots contain all data from December and January at 12 W input power; each point is an average over 100 s.
- Hrec noise is the BRMS of Hrec in the band 110÷133 Hz
- optical gain is Hrec_ORgain_meancavities
- noise on B1 is the noise in power units, i.e. Hrec BRMS multiplied by the optical gain in W/m and by the arms lenght in m.
- SSFS coupling (or CMRF) is the magnitude of the 227 Hz line in DARM
- contrast defect is LSC_B1p_DC
Fig1: Hrec noise vs optical gain clearly shows inverse scaling;
Fig2: noise on B1 vs optical gain is basically constant, although it sligtly increases for small values of the optical gain;
Fig3: CMRF vs optical gain also shows some inverse scaling;
Fig4: contrast defect vs optical gain clearly shows inverse scaling;
Fig5: contrast defect vs CMRF shows clear linear correlation: poor contrast defect usually implies poor CMRF; this might be partly due to the BS CMRF loop not working in LN2;
Fig6: Hrec noise vs contrast defect; a linear correlation is clearly visible.
Fig7: noise on B1 vs contrast defect: some linear correlation is also visible, though smaller than on Hrec.
Fig8: noise on B1 after subtracting the contribution of SSFS coupling, as computed from Fig7
Fig9: noise on B1 vs contrast defect shows some linear correlation
Fig10: after subtracting the contribution from SSFS coupling, noise on B1 is independend on contrast defect
Fig11: after subtracting the contribution from SSFS coupling, the smal residyual dependence of noise on B1 from optical gain (Fig2) disappears too
In conclusion, HOMs might affect the CMRF for frequency noise, but have no effect on the mystery noise. Frequency noise is not contributing significantly with good CMRF, but CMRF fluctuations produce not negligible contribution.