Theory and Application of Radiation Boundary Operators

Thomas G. Moore, Jeffrey G. Blaschak, Allen Taflove, Gregory A. Kriegsmann

Research output: Contribution to journalArticle

182 Scopus citations

Abstract

A succinct unified review is provided of the theory of radiation boundary operators which has appeared principally in the applied mathematics and computational physics literature over the last ten years. With the recent introduction of the onsurface radiation condition (OSRC) method and the continued growth of finite-difference and finite-element techniques for modeling electromagnetic wave scattering problems, the understanding and use of radiation boundary operators has become increasingly important to the engineering community. In the OSRC method, specific radiation boundary operators are applied directly on the surface of an arbitrary convex target, substantially simplifying the usual integral equation for the scattered field. In the finite-difference and finite-element techniques, radiation boundary operators are used to truncate the computational domain near the target, while accurately simulating an infinite modeling space. Results are presented to illustrate the application of radiation boundary operators in both of these areas. Recent OSRC results include analysis of the scattering behavior of both electrically small and electrically large cylinders, a reactively loaded acoustic sphere, and a simple reentrant duct. New radiation boundary operator results include the demonstration of the effectiveness of higher order operators in truncating finite-difference time-domain grids.

Original languageEnglish (US)
Pages (from-to)1797-1812
Number of pages16
JournalIEEE Transactions on Antennas and Propagation
Volume36
Issue number12
DOIs
StatePublished - Jan 1 1988

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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