Title

An Enhanced Finite Difference Time Domain Method for Two Dimensional Maxwell's Equations

Published In

Numerical Methods for Partial Differential Equations

Document Type

Citation

Publication Date

1-1-2020

Abstract

An enhanced finite-difference time-domain (FDTD)algorithm is built to solve the transverse electrictwo-dimensional Maxwell’s equations with inhomogeneousdielectric media where the electric fields are discontinuousacross the dielectric interface. The new algorithm is derivedbased upon the integral version of the Maxwell’s equationsas well as the relationship between the electric fields acrossthe interface. To resolve the instability issue of Yee’s scheme(staircasing) caused by discontinuous permittivity across theinterface, our algorithm revises the permittivities and makessome corrections to the scheme for the cells around the inter-face. It is also an improvement over the contour-path effectivepermittivity algorithm by including some extra terms in theformulas. The scheme is validated in solving the scatteringof a dielectric cylinder with exact solution from Mie theoryand is then compared with the above contour-path method,the usual staircasing and the volume-average method. Thenumerical results demonstrate that the new algorithm hasachieved significant improvement in accuracy over othermethods. Furthermore, the algorithm has a simple structureand can be merged into current FDTD software packageseasily. The C++source code for this paper is provided assupporting information for public access.

Description

© 2020 Wiley Periodicals, Inc.

Locate the Document

http://doi.org/10.1002/num.22467

DOI

10.1002/num.22467

Persistent Identifier

https://archives.pdx.edu/ds/psu/32516

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