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A novel relaxed hierarchical equivalent source algorithm (RHESA) for electromagnetic scattering analysis of dielectric objects

Xin Fu, Li-Jun Jiang and Hong Tat Ewe

Journal of Electromagnetic Waves and Applications, 2016, vol. 30, issue 12, 1631-1642

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)$ {{ \mathcal O }(N^{4/3})} $ and O(N)$ {{ \mathcal O }(N)} $, respectively. Numerical examples validate the accuracy and capability of the proposed algorithm.

Date: 2016
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DOI: 10.1080/09205071.2016.1210544

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Journal of Electromagnetic Waves and Applications is currently edited by Mohamad Abou El-Nasr and Pankaj Kumar Choudhury

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