FDFD analysis of electromagnetic scattering in anisotropic media using unconstrained triangular meshes

A method using finite differences in the frequency domain (FDFD) for modeling field interaction and propagation in anisotropic media with generalized tensor permittivity and permeability, and with complex geometry, is presented. The method uses an unconstrained mesh with triangular cells, which provides an efficient discrete approximation of curved surfaces. The two-dimensional problem with transverse field excitation is studied. Computed results comparing this algorithm to published data for the former case show excellent agreement. The analysis provides information for all view angles simultaneously at a single frequency. The method can be adapted to a time-domain formulation to analyze the effects of wave pulses and multiple frequencies at a single observation angle