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Multilevel fast multipole algorithm for general dielectric targets in the presence of a lossy half‐space
Author(s) -
He Jiangqi,
Sullivan Anders,
Carin Lawrence
Publication year - 2001
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2000rs002548
Subject(s) - multipole expansion , lossy compression , space (punctuation) , scattering , function (biology) , mathematics , dielectric , algorithm , function space , mathematical analysis , computer science , physics , optics , quantum mechanics , statistics , evolutionary biology , biology , operating system
The multilevel fast multipole algorithm (MLFMA) is extended to the problem of an arbitrarily shaped dielectric target in the presence of a lossy, dispersive half‐space. The near MLFMA terms are treated rigorously, via a complex‐image‐technique‐based evaluation of the Sommerfeld integrals inherent to the half‐space Green's function. The Green's function components for the far MLFMA terms are evaluated approximately, but accurately, via an asymptotic analysis. In this paper, we detail the scattering formulation and perform a comparison of MLFMA‐generated results with those from other, simpler (and less general) models.