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Generalized Scattering Matrix Equations for Waveguide Structures of Varying Surface Impedance Boundaries
Author(s) -
Bahar E.
Publication year - 1967
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/rds196723287
Subject(s) - waveguide , mathematical analysis , surface (topology) , electrical impedance , scattering , mathematics , impedance parameters , optics , multi mode optical fiber , physics , amplitude , matrix (chemical analysis) , geometry , optical fiber , materials science , quantum mechanics , composite material
An infinite set of coupled first‐order differential equations is derived for the complex amplitude of the forward and backward waves in multimode waveguide structures of varying surface impedance boundaries. Using a quasi‐optical approach in the first analysis, the waveguide is considered to consist of an infinity of elementary waveguide sections, with an infinitesimal variation of the surface impedance between two such adjacent waveguides. The second analysis is an extension to the application of the generalized telegraphist's equations for nonuniform waveguides. The two methods are compared in general. Finally, waveguide structures with varying surface impedance boundaries and nonuniform cross sections are considered.