Study of cross-talk of parallel Fabry-Perot sensors in path-matching differential interferometry

摘要

Cross-talk in multiplexing parallel Fabry-Perot sensors in a path-matching differential interferometry (PMDI) can be limited by corresponding path-matching read-out systems. Neverthelless, improper design in cavity lengths of Fabry-Perots can result in serious cross-talk. This paper presents a spectrum analysis to design the parallel Fabry-Perot sensors quantitatively without cross-talk. The spectrum analysis used to solve the cross-talks in a multiple parallel Fabry-Perot system is proved to be an efficient tool. To the author's knowledge, cross-talk problems were first investigated in a multiple parallel Fabry-Perot system quantitatively and experimentally. In a spectrum analysis, the spectrum transfer function in a broadband light source and a Fabry-Perot cavity are simulated by a Gaussian distribution spectrum and a low-finesse reflectivity, respectively. After integrating the whole spectrum system with respect to the wave number, the cross-talk terms can be removed by assuming zero.