Abstract
Helmholtz decomposition (HD) is a fundamental tool of vector calculus and plays an important role in electromagnetics. In this work, arbitrary vector field defined on the open or closed surface is decomposed into the sum of an irrotational (curl-free) vector field and a solenoidal (divergence-free) vector field by using the surface integral equation method. Unlike the popular loop-tree decomposition that is only a quasi-HD suitable for the circuit physics in the low frequency regime, the HD developed in this paper is rigorous and can capture both circuit and wave physics from very low frequency to high frequency regimes. The work could provide insightful physical interpretations for complex electromagnetic phenomena. © 2012 IEEE.
Recommended Citation
X. Y. Xiong et al., "Characterization Of Wave Physics Using The Rigorous Helmholtz Decomposition Based On The Surface Integral Equation," IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), article no. 6348966, Institute of Electrical and Electronics Engineers, Dec 2012.
The definitive version is available at https://doi.org/10.1109/APS.2012.6348966
Department(s)
Electrical and Computer Engineering
International Standard Book Number (ISBN)
978-146730462-7
International Standard Serial Number (ISSN)
1522-3965
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Institute of Electrical and Electronics Engineers, All rights reserved.
Publication Date
10 Dec 2012
