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Effect of the end mirror curvature error to the contrast of ¥¥a Fabry-Perot based Michelson interferometer
We found that one of the ETMs of the 40m interferometer could be delivered with a curvature error of 5¥% from the nominal radius. The effect of this curvature error to the contrast of a FPMI was investigated by analytical calculation and simulations with FINESSE.
[attachment:curvature_mismatch.pdf Here] is the document.
For the parameter similar to the 40m interferometer with nominal end mirror curvature of 57 m, the contrast defect of the FPMI is given by:
dC = 3.61 x 10-4 dR2 + O3(dR)
and this is dominated by the higher-order modes.
The result was confirmed with simulations on FINESSE.
attachment:curvature_mismatch_plot.png
Relationship between the curvature error and the contrast defect. Red dots show the simulated results. The blue line is the curve for the analytical calculation.