Very fast and accurate modeling of multilayer waveguiding photonic bandgapstructures

A model of one-dimensional (1-D) waveguiding photonic bandgap (PBG) structu res, based on leaky mode propagation (LMP) method, is proposed for the firs t time. A complete analysis of the propagation characteristics, including t he determination of modal propagation constants, electromagnetic field harm onics and total field distribution, transmission and reflection coefficient s, total forward and backward power flow in the structure, guided and radia ted power, and total losses, has been carried out for a finite extension co nfiguration. The numerical results have been compared with those obtained b y using other methods, showing a very good agreement together with some sig nificant advantages in terms of very low computational time, absence of any a priori theoretical assumptions and approximations, capability of simulat ing the actual behavior of the device as a reflector, and fast determinatio n of the bandgap position.