A Single-Field FDTD Formulation for Electromagnetic Simulations
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A Single-Field FDTD Formulation for Electromagnetic Simulations摘要
A set of general purpose single-field finite-difference time-domain (FDTD) updating equations for solving electromagnetic problems is derived. The formulation uses a single-field expression for full-wave solution. This formulation can provide numerical results similar to those obtained using the traditional Yee algorithm with less computer resources. The traditional FDTD updating equations are based on Maxwell's curl equations whereas the single-field FDTD updating equations, used here, are based on the vector wave equation. Performance analyses of the single–field formulation in terms of CPU time, memory requirement, stability, dispersion, and accuracy are presented. It was observed that the single-field method is significantly efficient relative to the traditional one in terms of speed and memory requirements.
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