The Use of Huygens’ Equivalence Principle for Solving 3-D Volume Integral Equation of Scattering

C. C. Chenga Lu, Weng Cho Chew

Research output: Contribution to journalArticle

Abstract

A three-dimensional (3-D) version of the nested equivalent principle algorithm (NEPAL) is presented. In 3-D, a scatterer is first decomposed into N subscatterers. Then, spherical wave functions are used to represent the scattered field of the subscatterers. Subscatterers are divided into different levels of groups in a nested manner. For example, each group consists of eight subgroups, and each subgroup contains eight sub-subgroups, and so on. For each subgroup, the scattering solution is first solved and the number of subscatterers of the subgroup is then reduced by replacing the interior subscatterers with boundary subscatterers using Huygens’ equivalence principle. As a result, when the subgroups are combined to form a higher level group, the group will have a smaller number of subscatterers. This process is repeated for each level, and in the last level, the number of subscatterers is proportional to that of boundary size of the scatterers. This algorithm has a computational complexity of O(N2) in three dimensions for all excitations and has the advantage of solving large scattering problems for multiple excitations. This is in contrast to Gaussian elimination which has a computational complexity of O(V3).

Original languageEnglish (US)
Pages (from-to)500-507
Number of pages8
JournalIEEE Transactions on Antennas and Propagation
Volume43
Issue number5
DOIs
StatePublished - May 1995

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'The Use of Huygens’ Equivalence Principle for Solving 3-D Volume Integral Equation of Scattering'. Together they form a unique fingerprint.

  • Cite this