Convergence of the Hybrid Implicit-Explicit Single-Field FDTD Method Based on the Wave Equation of Electric Field

Abstract

The hybrid implicit-explicit single-field finite-difference time-domain (HIE-SF-FDTD) method based on the wave equation of electric field is reformulated in a concise matrix-vector form. The global approximation error of the scheme is discussed theoretically. The second-order convergence of the HIE-SF-FDTD is numerically verified.