“A New Higher Order Finite-Difference Approximation Scheme for the Method of Lines”

(2001) “A New Higher Order Finite-Difference Approximation Scheme for the Method of Lines”. IEEE/OSA Journal of Lightwave Technology, 19 (3). pp. 398-404.

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Abstract

A new 5-point and a 7-point nonuniform mesh finite-difference scheme is introduced to approximate the second-derivative operator. The scheme is applied using the method of lines. The necessary interface conditions for the TE and TM fields at an index discontinuity are appropriately included in the derivation. This scheme can model lossy dielectrics as well as metallic layers in a unified way. Numerical results are given for the fundamental TE and TM modes of a high-contrast waveguide and for a metal/dielectric single interface TM surface-plasmon mode showing excellent convergence behavior to the analytical results.

Item Type: Article
Subjects: Electrical
Department: College of Engineering and Physics > Electrical Engineering
Depositing User: AYHAM ZAZA
Date Deposited: 15 Mar 2008 12:47
Last Modified: 01 Nov 2019 13:23
URI: http://eprints.kfupm.edu.sa/id/eprint/362