Simulation of apodized fiber Bragg gratings

This paper discusses methods for calculation properties of apodized fiber Bragg gratings (FBGs). These are one of the most enveloping optical devices in telecommunications and sensor systems. Work is aimed to simulation of FBGs, with utilization especially in sensor systems and laser interferometry for semiconductor laser stabilization at wavelength about 760nm. Program for FBG properties calculation was written in Matlab software. At first, FBG is divided into several uniform sections. To calculate properties of each uniform section is used coupled-mode theory. Coupled-mode theory is ordinary used for electromagnetic field specification in waveguides with periodic perturbations in the propagation direction. Next the transfer matrix method is used for overall properties calculation. The main point of simulation is reflectivity spectrum calculation in dependence of fiber dimensions and material properties. These FBGs have wide range of use in optical systems as band filters, in-fiber sensors or fiber grating lasers and amplifiers for their unique properties.