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Modified fast multipole algorithm using well‐conditioned electric field integral equation for electromagnetic scattering problem
Author(s) -
Chen H.,
Wang L.,
Chen R. S.
Publication year - 2011
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.26142
Subject(s) - multipole expansion , electric field integral equation , integral equation , scattering , electromagnetic field , electric field , computational electromagnetics , quantum electrodynamics , physics , field (mathematics) , computational physics , mathematics , mathematical analysis , optics , quantum mechanics , pure mathematics
Conventional fast multipole algorithm is one of the most widely used integral equation method for its high efficiency. Unfortunately, it always come across a problem named subwavelength breakdown when the finest group size is smaller than 0.2 wavelength. In this article, singular value decomposition method is used to modify the translation operator of fast multipole algorithm. The finest group size will be smaller without subwavelength breakdown by this method, which leads to much reduction of the memory requirement. Furthermore, the time consumption is also reduced by applying the well‐conditioned electric field integral equation. Numerical results prove the validity and efficiency of this method. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.26142