Abstract
A novel relaxed hierarchical algorithm based on the surface equivalence principle for the volume integral equations (VIEs) is proposed in this work. The equivalent sources residing on relaxed spherical equivalence surfaces are established by exact integral formulations. The equivalence surfaces are exploited hierarchically to accelerate matrix–vector product in iterative solutions for the VIEs. The computation time and memory cost complexity of the proposed algorithm for dielectric scatters scale as O(N4/3) and O(N) , respectively. Numerical examples validate the accuracy and capability of the proposed algorithm.
Recommended Citation
X. Fu et al., "A Novel Relaxed Hierarchical Equivalent Source Algorithm (RHESA) For Electromagnetic Scattering Analysis Of Dielectric Objects," Journal of Electromagnetic Waves and Applications, vol. 30, no. 12, pp. 1631 - 1642, Taylor and Francis Group; Taylor and Francis, Jan 2016.
The definitive version is available at https://doi.org/10.1080/09205071.2016.1210544
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
electromagnetic scattering; Equivalent source method; hierarchical algorithm; volume integral equation
International Standard Serial Number (ISSN)
1569-3937; 0920-5071
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.
Publication Date
01 Jan 2016
