Modeling of Photonic Bandgaps in Resonant Waveguide Grating Systems Using a Simple Theory for 1-D Photonic Crystals

Modeling of photonic bandgaps in a resonant waveguide grating system is completed using the equations describing a simple 1-D photonic crystal (a series of alternating slabs). The equations are modified to account for the frequency dependence of the material index of refraction and depth of the grating, and an excellent agreement with the experiment is realized using the TE₀ mode of the waveguide. It is thought that the equations work well due to a grating waveguide emulating the conditions in a periodic series of dielectric slabs