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A fast technique based on perfectly matched layers to model electromagnetic scattering from wires embedded in substrates
Author(s) -
Rogier Hendrik,
De Zutter Daniël
Publication year - 2002
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 - 10.1029/2001rs002480
Subject(s) - scattering , series (stratigraphy) , modal , function (biology) , microstrip , mathematical analysis , integral equation , substrate (aquarium) , electromagnetic radiation , mathematics , physics , computer science , materials science , optics , composite material , oceanography , evolutionary biology , paleontology , biology , geology
A two‐dimensional integral equation formulation is used to model electromagnetic scattering from metallic structures embedded in substrates. The new method involves a fast evaluation scheme for the Green's function of the substrate by using perfectly matched layers to obtain closed‐form expressions as a series of leaky and Berenger modes. Efficient summation of these series is performed by means of the Shanks transform. The modal series can be applied to calculate all interactions, except for the self‐patch contribution. The latter can be approximated with good accuracy by using the closed‐form quasi‐static part of the Green's function. The new technique is illustrated by studying scattering from wires embedded in a microstrip substrate.