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On the stretching of Maxwell's equations in general orthogonal coordinate systems and the perfectly matched layer
Author(s) -
Knockaert Luc,
De Zutter Daniel
Publication year - 2000
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/(sici)1098-2760(20000105)24:1<31::aid-mop10>3.0.co;2-0
Subject(s) - diagonal , coordinate system , perfectly matched layer , orthogonal coordinates , anisotropy , maxwell's equations , mathematical analysis , microwave , physics , ellipsoidal coordinates , layer (electronics) , mathematics , geometry , optics , materials science , quantum mechanics , composite material , boundary value problem
It is shown that the complex coordinate stretching and diagonal anisotropy formulations of the perfectly matched layer are equivalent in a general orthogonal coordinate system setting. The results are obtained by taking advantage of the tensorial invariance of the line element. © 2000 John Wiley & Sons, Inc. Microwave Opt Technol Lett 24: 31–34, 2000.