On absence of sources at infinity and uniqueness for waveguide solutions
2016 (English)In: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA 2016, IEEE Press, 2016, 780-783 p.Conference paper (Refereed)
This paper discusses criteria for establishing uniqueness of wave propagation problems. Causality, or passivity that implies causality, is adopted as the fundamental principle. It is stressed that radiation conditions are not applicable for waveguide modes that carry no active power. The Jones' criteria for causality in the frequency domain, which covers the convectively unstable case, are presented and analysed, the vanishing absorption principle, VAP, in particular. It is proposed to use L2 for a lossy medium but a weighted L2 for the lossless case.
Place, publisher, year, edition, pages
IEEE Press, 2016. 780-783 p.
Research subject Mathematics, Applied Mathematics; Physics, Waves and Signals
IdentifiersURN: urn:nbn:se:lnu:diva-60614DOI: 10.1109/ICEAA.2016.7731515ISBN: 978-1-4673-9811-4 (electronic)ISBN: 978-1-4673-9810-7 (print)OAI: oai:DiVA.org:lnu-60614DiVA: diva2:1073117
2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA, 19-23 Sept. 2016