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http://dx.doi.org/10.5515/JKIEES.2011.11.1.011

A Fourth-Order Accurate Numerical Boundary Scheme for the Planar Dielectric Interface: a 2-D TM Case  

Hwang, Kyu-Pyung (Samsung Electro-Mechanics Co., Ltd.)
Publication Information
Journal of electromagnetic engineering and science / v.11, no.1, 2011 , pp. 11-15 More about this Journal
Abstract
Preserving high-order accuracy in high-order FDTD solutions across dielectric interfaces is very important for practical time-domain electromagnetic simulations. This paper presents a fourth-order accurate numerical boundary scheme for the planar dielectric interface to be used in the fourth-order FDTD method proposed earlier by the author. The interface scheme for the two-dimensional (2-D) transverse magnetic (TM) polarization case is derived and validated by monitoring the $L_2$ norm errors in the numerical solutions of a partially-filled cavity demonstrating its fourth-order convergence and long-time numerical stability in the presence of the planar dielectric interface.
Keywords
Finite-Difference Time-Domain (FDTD) Methods; Convergence of Numerical Methods; High-Order Method; Numerical Stability;
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