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math-ph2012★ 1 cited
Eigenwaves in Waveguides with Dielectric Inclusions: Completeness
Yury Shestopalov, Yury Smirnov
We formulate the definition of eigenwaves and associated waves in a nonhomogeneously filled waveguide using the system of eigenvectors and associated vectors of a pencil and prove…
math-ph2012
Eigenwaves in Waveguides with Dielectric Inclusions: Spectrum
Yury Smirnov, Yury Shestopalov
We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for…