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Derivation of generalized transition/boundary conditions for planar multiple‐layer structures
Author(s) -
Ricoy M. A.,
Volakis J. L.
Publication year - 1990
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/rs025i004p00391
Subject(s) - mathematical analysis , planar , boundary value problem , matrix (chemical analysis) , contrast (vision) , mathematics , boundary (topology) , reflection (computer programming) , taylor series , transmission (telecommunications) , boundary layer , product (mathematics) , optics , geometry , materials science , physics , mechanics , composite material , telecommunications , computer science , computer graphics (images) , programming language
Infinite‐order generalized impedance boundary conditions (GIBCs) and generalized sheet transition conditions (GSTCs) for planar multilayer configurations are developed via the Taylor series expansion method. The conditions are derived in a matrix product form where each matrix corresponds to a specific layer. An overall composite boundary/transition condition is obtained by making finite‐order approximations to the elements of each matrix for the cases of “low‐contrast” and “high‐contrast” material layers. The accuracy of the truncated boundary conditions is examined by comparing their implied reflection and transmission coefficients with the corresponding exact coefficients. Design curves are also given which relate the maximum order of the conditions required to simulate a coating or layer of specific thickness and contrast. Expressions are then derived for the reflection and transmission coefficients of the GIBC/GSTC sheets, and these are compared to exact coefficients to demonstrate the validity of the derived GIBCs/GSTCs.