Associated Hermite FDTD Applied in Frequency Dependent Dispersive Materials

An unconditionally stable frequency-dependent FDTD formulation for non-magnetized materials is developed using Associated Hermite (AH) expansion in this letter. By introducing orthogonal AH transform, the complex dielectric constant is transformed into AH domain and represented as a matrix form, and then incorporated into a set of implicit equations to calculate the expansion coefficients of electromagnetic fields. Numerical example shows that the result of the new algorithm is in consistent with the theoretical results.