Implementations of PMC and PEC Boundary Conditions for Efficient Fundamental ADI- and LOD-FDTD

Abstract

This paper presents the implementations of perfect magnetic conductor (PMC) and perfect electric conductor (PEC) boundary conditions for efficient fundamental alternating-direction-implicit (ADI) and locally one-dimensional (LOD) finite-difference time-domain (FDTD). The PMC (or PEC) boundary equations for implicit updating of electric (or magnetic) fields in efficient fundamental ADI- and LOD-FDTD schemes are derived using image theory. Image theory facilitates the implementation of PMC and/or PEC boundary conditions regardless of whether the update equations for electric or magnetic fields are implicit. Comparison between the PMC and PEC boundary equations in conventional and efficient fundamental schemes of ADI- and LOD-FDTD signifies a reduction in the floating-point operations count, thus justifying the higher efficiency and simplicity for the fundamental schemes.