Improved Finite-Difference Time-Domain Algorithm Based on Error Control for Lossy Materials

This paper discusses the development of a reduced-error finite-difference time-domain algorithm, capable of handling conducting media in an efficient manner. Founded on a spatially extended stencil, the proposed scheme introduces a novel design procedure, whose basic idea is to enforce conditions of the continuous space to the discrete level. In this way, we derive reliable space-time models for 2-D Maxwell's equations, minimizing the inherent phase and amplitude deviations. A high degree of adaptivity is also accomplished, as the spectral reliability range can be adjusted according to problem-dependent needs. Consequently, an upgraded discretization strategy is provided, which exhibits the same computational complexity with the conventional scheme.