Interfacial Numerical Dispersion and New Conformal FDTD Method

TL;DR

This paper identifies and corrects interfacial numerical dispersion in FDTD simulations and introduces a new conformal FDTD method for simulating complex materials with penetrative effects and charge distributions.

Contribution

It presents a correction to interfacial relations in electrodynamics within FDTD and develops a novel conformal FDTD approach for more accurate material modeling.

Findings

Corrected interfacial numerical dispersion in FDTD

Developed a conformal FDTD method for complex materials

Demonstrated improved simulation of penetrative depth and charge effects

Abstract

This article shows the interfacial relation in electrodynamics shall be corrected in discrete grid form which can be seen as certain numerical dispersion beyond the usual bulk type. Furthermore we construct a lossy conductor model to illustrate how to simulate more general materials other than traditional PEC or simple dielectrics, by a new conformal FDTD method which main considers the effects of penetrative depth and the distribution of free bulk electric charge and current.