A Riemann-Hilbert problem for propagation of electromagnetic waves in inhomogeneous, dispersive \(\Omega\) waveguide (Q1592532)
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scientific article; zbMATH DE number 1556186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Riemann-Hilbert problem for propagation of electromagnetic waves in inhomogeneous, dispersive \(\Omega\) waveguide |
scientific article; zbMATH DE number 1556186 |
Statements
A Riemann-Hilbert problem for propagation of electromagnetic waves in inhomogeneous, dispersive \(\Omega\) waveguide (English)
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17 September 2001
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A class of new complex materials, called \(\Omega\) (omega) media, was introduced by \textit{M. M. I. Saadoun} and \textit{N. Engheta} [A reciprocal phase shifter using noval pseudochiral or \(\Omega\) medium, Microwave Opt. Tech. Lett. 5(4), 184-187 (1992)]. The author considers transient electromagnetic wave propagation in a rectangular waveguide filled with dispersive \(\Omega\) material. The problem is reduced to a two-dimensional boundary problem generated by Maxwell's equations in an infinite strip. This problem is reformulated as a Riemann-Hilbert problem. The author proves that the inhomogeneous parameters of the problem can be uniquely reconstructed from the \(S\)-matrix.
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inverse problem
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single-resonance Lorentz model
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scattering
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dispersive \(\Omega\)-waveguide
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Riemann-Hilbert problem
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