A performance study of a nonlinear all Fibre Michelson interferometer, add-drop multiplexer, based in Fibre Bragg grating mirrors

Abstract

In this paper we report a numerical investigation of an all-fibre narrowband transmission filter in the arrangement of two identical photo-imprinted Bragg gratings symmetrically located in each arm of a Michelson Interferometer, simulating, thus, an add-drop filter. The transmission characteristics and in addition the crosstalk level and extinction ratio, were studied. The coupled mode theory and the fourth-order Runge-Kutta method were applied, respectively, to solve the coupled differential equations. This is the first study, as far as we now, of the performance of this device considering the nonlinearity of the fibre coupler and linearity of the fibre Bragg gratings. The device is presenting a highly nonlinear behavior dependence in dephasing and pump power.

Add-Drop Demultiplexer Operating in an Optical Michelson Interferometer Based in Fiber Bragg Gratings for Time Division Multiple Access Systems

“…It has recently been shown [3,7,8] that the numeric solution of an MI constructed with a directional coupler followed by Bragg gratings in the two output arms constitutes an all-optical interferometer applied to telecommunications systems [7,9]. Based on those characteristics, the objective here it to study MIs working as a multiplexer add-drop filter.…”

“…The beginning of that operation was proposed originally by Hill et al [6]. The Bragg-grating-assisted coupler demonstrates its attractiveness as a device, thanks to its simplicity, requesting only a grating in the waist of a fused coupler [7]. The analysis of this device requests the solution of the transfer matrix, and it is complicated by the fact that the coupling and reflections exist simultaneously in a certain region of the device.…”