A Hierarchy of Explicit Low-Dispersion FDTD Methods for Electrically Large Problems

Abstract

A framework for the construction of a hierarchy of explicit low-dispersion, low anisotropy FDTD algorithms is developed herein. The framework allows for the separation of dispersive and anisotropic effects due to a given explicit FDTD model construction using an extended stencil on a Yee-type staggered grid. Isotropic low-dispersion (2,4) and (4,4) FDTD algorithms are constructed by eliminating second-and fourth-order errors due to dispersion and anisotropy. The dispersive and anisotropic performance of these algorithms is compared to previously published schemes that fit within this hierarchical structure. The algorithms are examined for propagation of a wave pulse in an electrically large domain.

Department(s)

Electrical and Computer Engineering

Research Center/Lab(s)

Electromagnetic Compatibility (EMC) Laboratory

Sponsor(s)

United States. Defense Threat Reduction Agency
United States. Department of Energy

Comments

This work was supported in part by the Defense Threat Reduction Agency (DTRA) and in part by the Department of Energy (DOE).

Keywords and Phrases

Anisotropic Effects; Electrically Large; FDTD Algorithm; FDTD Model; Finite-Difference Time-Domain (FDTD) Methods; Fourth-Order; Hierarchical Structures; Low Anisotropy; Staggered Grid; Algorithms; Anisotropy; Finite Difference Time Domain Method; Time Domain Analysis; Dispersion (Waves); Electrically Large; Low Dispersion

International Standard Serial Number (ISSN)

0018-926X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Dec 2012

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