An FETD Method for Wave guide Problems

An FETD method on waveguides is investigated using Galerkin's method to discretize Maxwell's equations directly in the spatial domain and solve a first-order ordinary differential equation in the time domain. As numerical examples, we study one dimensional wave propagations in a wave guide with nonreflecting boundaries, wave excitations, and wave propagations in a two dimensional wave guide with an inserted dielectric obstacle. For nonreflecting boundary condition, the advection equations derived from Maxwell's equations are adopted in these methods.