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Open Waveguides of Arbitrary Cross Section

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Optical Waveguide Theory

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 237))

Abstract

Analysis of the wave propagation in open metal-dielectric waveguides constitutes an important class of vector electromagnetic problems. In the case of hollow shielded waveguides (filled with homogeneous dielectric) the spectral parameter enters the equations and not the transmission conditions, ending up with an eigenvalue problem for a self-adjoint operator. However, a general setting for a metal-dielectric waveguide yields non-self-adjoint boundary eigenvalue problems for the systems of Helmholtz equations with piecewise constant coefficients, the transmission conditions, and the conditions at infinity containing the spectral parameter; the transmission conditions are stated on the discontinuity lines (surfaces) of the permittivity and the resulting problem becomes non-self-adjoint.

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Authors and Affiliations

  1. Faculty of Engineering and Sustainable Development, University of Gävle, Gävle, Sweden

    Yury Shestopalov

  2. Department of Mathematical Modeling and Supercomputer, Penza State University, Penza, Russia

    Yury Smirnov & Eugene Smolkin

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  1. Yury Shestopalov
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  2. Yury Smirnov
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  3. Eugene Smolkin
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Correspondence to Yury Shestopalov .

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Shestopalov, Y., Smirnov, Y., Smolkin, E. (2022). Open Waveguides of Arbitrary Cross Section. In: Optical Waveguide Theory. Springer Series in Optical Sciences, vol 237. Springer, Singapore. https://doi.org/10.1007/978-981-19-0584-1_5

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