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A fast 2‐D parallel multilevel fast multipole algorithm solver for oblique plane wave incidence
Author(s) -
Fostier Jan,
Michiels Bart,
Bogaert Ignace,
De Zutter Daniël
Publication year - 2011
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 - 10.1029/2010rs004552
Subject(s) - oblique case , multipole expansion , solver , algorithm , plane wave , incidence (geometry) , plane (geometry) , computer science , physics , mathematics , geometry , optics , mathematical optimization , philosophy , linguistics , quantum mechanics
We present a multilevel fast multipole algorithm (MLFMA) implementation to numerically solve Maxwell's equations for large two‐dimensional geometries illuminated by an arbitrary plane wave in three‐dimensional space. The solver's capabilities are augmented by means of an asynchronous and hierarchical parallelization. Its accuracy is demonstrated by comparing the analytical and numerically obtained scattering width of several canonical examples with a size of 700,000 wavelengths.