Numerical solutions of TM scattering using an obliquely Cartesian finite difference time domain algorithm

The conventional finite difference time domain (FDTD) algorithm for solving electromagnetic scattering problems, which uses a uniform Cartesian grid for enmeshing the problem domain, is limited in its ability to model scatterers of arbitrary shapes. The author extends the FDTD algorithm to a general obliquely Cartesian coordinate system, and applies it in conjunction with an edge-type absorbing boundary condition (ABC) to solve a number of representative TM scattering problems. In addition to extending the FDTD algorithm to obliquely Cartesian grids, he also derives the stability condition for the two-dimensional obliquely Cartesian FDTD algorithm