Multibranch Rao-Wilton-Glisson Basis Functions for Electromagnetic Scattering Problems

A multibranch Rao-Wilton-Glisson (MB-RWG) basis function is proposed in this article, which is composed of one positive triangle with a larger edge length and several negative triangles with smaller edge lengths. All negative triangles are aggregated to replace the negative triangle in the tradition...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2021-10, Vol.69 (10), p.6624-6634
Main Authors: Huang, Shifeng, Xiao, Gaobiao, Hu, Yuyang, Liu, Rui, Mao, Junfa
Format: Article
Language:English
Subjects:
Antennas
Basis functions
Domain decomposition method (DDM)
Domain decomposition methods
Electromagnetic scattering
Finite element method
Impedance
Integral equations
Magnetic fields
Mathematical analysis
multibranch Rao–Wilton–Glisson (MB-RWG) basis function
multiscale objects
Surface impedance
surface integral equation (SIE)
Surface treatment
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Summary:A multibranch Rao-Wilton-Glisson (MB-RWG) basis function is proposed in this article, which is composed of one positive triangle with a larger edge length and several negative triangles with smaller edge lengths. All negative triangles are aggregated to replace the negative triangle in the traditional RWG basis function, with exactly the same function expression defined on the triangles. The number of negative triangles can be changed in different mesh structures. Similar to traditional RWG basis functions, the proposed MB-RWG basis functions guarantee normal current continuity across the common edges. No line charges exist and the total charge on one MB-RWG is zero. MB-RWG basis functions can be used very conveniently to connect one surface with a coarse mesh scheme to another with a fine mesh scheme and can be flexibly applied in the domain decomposition method (DDM). Numerical results validate the accuracy and demonstrate the versatility of the proposed basis function in modeling multiscale perfect electrically conducting (PEC) objects.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2021.3070058