Three Dimensional Finite-Difference Time- Domain Solution of Maxwell's Equations With Perfectly Matched Absorbing Layers

Abstract : We formulate and document Maxwell's equations in finite-difference time-domain form and for three-dimensional geometry. We incorporate the successful perfectly matched layer absorbing boundary conditions and the coupled-equation-set is presented in various forms depending on space points being inside or outside the absorbing shell. The material media are nonpermeable and nondispersive. These equations provide a basis from which problems requiring time-domain solutions to Maxwell's equations may be approached.