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Finite‐element analysis of open microwave waveguides using a PML‐like spatial mapping
Author(s) -
Raida Zbyněk
Publication year - 1998
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(19980620)18:3<180::aid-mop6>3.0.co;2-b
Subject(s) - perfectly matched layer , microwave , finite element method , layer (electronics) , anisotropy , waveguide , mathematical analysis , evanescent wave , enhanced data rates for gsm evolution , physics , optics , field (mathematics) , geometry , acoustics , mathematics , materials science , engineering , telecommunications , quantum mechanics , pure mathematics , composite material , thermodynamics
A real spatial transform, which maps an infinite outer region surrounding an open waveguide to a layer of finite thickness, is described in this letter. The mapping is introduced in the form of a real stretch of coordinates, and then, it is interpreted as an anisotropic layer in unstretched coordinates. The layer is shown to efficiently attenuate evanescent waves, and to behave in the same way as perfectly matched layers. A modified vectorial wave equation is derived to describe the field in the layer. Then, a variationally behaving functional, which is stationary about the solution of the modified wave equation, is introduced, and it is solved in terms of nodal/edge finite elements. © 1998 John Wiley & Sons, Inc. Microwave Opt Technol Lett 18: 180–184, 1998.