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

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.