Finite difference time domain algorithm in curvilinear coordinates for solving three-dimensional open-region scattering problems

The finite-difference-time-domain (FDTD) algorithm is generalized to the curvilinear coordinate system and applied to the problem of electromagnetic scattering from a finite, perfectly conducting cone. The curvilinear FDTD algorithm employs a body-fitted grid for meshing up the computation domain and, consequently, is able to model the geometry of the scatterer with better accuracy than is possible with the staircasing approach conventionally employed in the FDTD algorithm. The problem of plane wave scattering from a conical target is used to illustrate the application of the curvilinear FDTD algorithm developed.<>