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A homogenization technique for obtaining generalized sheet transition conditions for an arbitrarily shaped coated wire grating
Author(s) -
Holloway Christopher L.,
Kuester Edward F.,
Dienstfrey Andrew
Publication year - 2014
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 - 10.1002/2014rs005556
Subject(s) - grating , homogenization (climate) , materials science , boundary value problem , optics , mathematical analysis , mathematics , physics , biology , biodiversity , ecology
Using a multiple‐scale homogenization method, we derive generalized sheet transition conditions (GSTCs) for an arbitrarily shaped coated wire grating. The parameters in these GSTCs are interpreted as effective electric and magnetic surface susceptibilities and surface porosities of the wire grating. We give expressions for determining these surface parameters for any arbitrarily shaped grating. We show that these GSTCs are a generalized form of the boundary conditions derived earlier by Wainstein and Sivov, who analyzed the case of symmetric, uncoated wire gratings. This work is also a first step in developing GSTCs for more general types of structures such as metasurfaces, metafilms, and metascreens.