Spectral interferometry for high-finesse Fabry-Perot sensors: Cramer-Rao bound of cavity length resolution

摘要

The paper develops an analytical apparatus to describe the resolution limits of optical fiber sensors, based on high-finesse Fabry-Perot interferometer, interrogated by means of spectral interferometry. The properties of interferometer spectral function, required for the analysis of resolution, are developed; in order to analyze the influence of noises on the resolution, Cramer-Rao formalism is utilized. An estimation of achievable resolution and optimal interferometer parameters in case of dominant photo detector noise is done.