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Remarks on the mathematical solution of the hollow cavity eigenvalue problem
Lund University.
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.
2013 (English)In: Progress in Electromagnetics Research Symposium, Electromagnetics Acad. , 2013, p. 79-83Conference paper, Published paper (Refereed)
Abstract [en]

We discuss the eigenvalue problem for a perfectly conducting hollow cavity under a strict functional analytic point of view. We make use of a variant of the classical spectral theorem for compact selfadjoint operators and we pay extra attention on the null space of the Maxwell operator. We also discuss the corresponding inhomogeneous problem, where currents are present, even when they may depend on the fields.

Place, publisher, year, edition, pages
Electromagnetics Acad. , 2013. p. 79-83
Series
Progress in Electromagnetics Research Symposium, ISSN 1559-9450
National Category
Condensed Matter Physics
Research subject
Physics, Condensed Matter Physics
Identifiers
URN: urn:nbn:se:lnu:diva-59327Scopus ID: 2-s2.0-84884799516ISBN: 9781934142264 (print)OAI: oai:DiVA.org:lnu-59327DiVA, id: diva2:1093641
Conference
Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm, 12 August 2013 through 15 August 2013, Stockholm
Available from: 2017-05-08 Created: 2017-05-08 Last updated: 2018-05-17Bibliographically approved

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Ioannidis, Andreas

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