Fabry-Perot cavity based on non-matching fiber Bragg gratings studied by V-I transmission matrix method

Many methods have been proposed to analyze the characteristics of FBG-based cavity, as a novel method for analyzing reflection spectra of FBG-based Fabry-Perot (F-P) cavity, V-I transmission matrix combines the exactitude of traditional effective index method and the speed of coupled-mode method. In this paper, we demonstrate the analysis of F-P cavity based on non-matching fiber Bragg gratings using the V-I matrices method. The evolution of F-P cavity spectra were numerical analyzed with different grating length and reflectivity. Simulation results show that difference between length and reflectivity of two gratings should not be too large, and if the length and reflectivity of two gratings are both different, it would be better to make the longer grating's reflectivity larger.