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An integral formulation of two‐ and three‐dimensional dielectric structures using orthonormal multiresolution expansions
Author(s) -
Sabet Kazem F.,
Katehi Linda P. B.
Publication year - 1998
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/(sici)1099-1204(199801/02)11:1<3::aid-jnm286>3.0.co;2-f
Subject(s) - orthonormal basis , multiresolution analysis , wavelet , integral equation , basis function , mathematical analysis , moment (physics) , electric field integral equation , dielectric , volume integral , mathematics , legendre wavelet , matrix (chemical analysis) , wavelet transform , computer science , physics , discrete wavelet transform , materials science , classical mechanics , composite material , optoelectronics , quantum mechanics , artificial intelligence
This paper presents an efficient space domain integral formulation of planar dielectric structures based on the concepts of multiresolution analysis (MRA) theory. Battle–Lemarie multiresolution expansions are utilized in the moment method solution of a volume integral equation for the unknown electric field. The generation of sparse moment matrices is explained in view of the cancellation property of wavelet basis functions. The formulation is then applied to two‐ and three‐dimensional dielectric structures including waveguides and resonators, and the numerical results and consequences of matrix sparsity are discussed in detail. © 1998 John Wiley & Sons, Ltd.