Modeling and simulation of Guided-wave Photonic Band Gap devices

The Guided wave Photonic Band Gap (PBG) structures are very attractive as optical devices. The modeling and the simulation of such structures is topic of great interest because the classical existing optical modeling techniques, such as BPM or effective index, are not compatible with the size and propagation effects in PBG structures. In this communication we focus on guided PBG filters. Two simulations are presented. The first one is a circuit approach. It is based on the modeling of the PBG as a cascade of several obstacles connected to waveguides. For each obstacle the S-parameters are calculated. Finally these parameters are implemented in a microwave simulator which determines the response of the PBG Filter. The second approach uses a numerical technique. We have simulated diffraction effects using 2D-FDTD and 3D-TLM methods. The simulation allows us to investigate the PBG mirror diffraction losses for different design parameters.