Unconditionally Stable Associated Hermite FDTD With Plane Wave Incidence

In this letter, we developed a plane wave excitation formulation for the unconditionally stable Associated Hermite (AH) finite-difference time-domain (FDTD) method. By using a plane wave injector, the volume electric and magnetic current densities in Maxwell's equations are expressed as an explicit form in AH domain to represent the incident field. An AH transformation matrix is designed to efficiently evaluate the expansion coefficients of the incidence plane wave at any point. Numerical example shows the results computed using the proposed formulation are in accordance with the solutions of the conventional FDTD method.