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Planar Waveguide
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.ORCID iD: 0000-0002-2691-2820
Penza State University, Penza, Russian Federation.
Penza State University, Penza, Russian Federation.
2022 (English)In: Optimal Waveguide Theory, Springer , 2022, p. 59-121Chapter in book (Refereed)
Abstract [en]

Analysis of the spectra, real or complex, of the waves or oscillations in open guiding structures is much less developed as compared with the theory of shielded waveguides which enters many textbooks and monographs in electromagnetics, e.g., [1–4]. In fact, the former is possible only within the frames of the spectral theory of open structures [5, 6] involving mathematically correct statements of non-self-adjoint boundary eigenvalue problems with generalized conditions at infinity that enable one to consider complex modes of all types.

Place, publisher, year, edition, pages
Springer , 2022. p. 59-121
Series
Springer Series in Optical Science, ISSN 0342-4111 ; 237
Keywords [en]
Dielectric layer, Dispersion equation, Electromagnetic wave, Maxwell equations, Operator pencils, Operator-valued function, TE-polarized waves
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-38415DOI: 10.1007/978-981-19-0584-1_3Scopus ID: 2-s2.0-85127894383ISBN: 978-981-19-0583-4 (print)ISBN: 978-981-19-0584-1 (electronic)OAI: oai:DiVA.org:hig-38415DiVA, id: diva2:1652329
Available from: 2022-04-19 Created: 2022-04-19 Last updated: 2022-09-15Bibliographically approved

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Shestopalov, Yury

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