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Goubau line filled with nonlinear medium: Numerical study of TM-polarized waves
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.ORCID-id: 0000-0003-0168-0282
2015 (engelsk)Inngår i: Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications: ICEAA 2015, IEEE Press, 2015, s. 1572-1575Konferansepaper, Publicerat paper (Fagfellevurdert)
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Abstract [en]

The propagation of monochromatic electromagnetic TM waves in the Goubau line (conducting cylinder covered by a concentric dielectric layer) filled with nonlinear inhomogeneous medium is considered. Two types of nonlinearity are studied. A physical problem is reduced to solving a nonlinear transmission eigenvalue problem for a system of ordinary differential equations. Eigenvalues of the problem correspond to propagation constants of the waveguide. A method is proposed for finding approximate eigenvalues of the nonlinear problem based on solving an auxiliary Cauchy problem (by the shooting method). The existence of eigenvalues that correspond to a new propagation regime is predicted. A comparison with the linear case is given.

sted, utgiver, år, opplag, sider
IEEE Press, 2015. s. 1572-1575
Emneord [en]
Dielectrics, Eigenvalues and eigenfunctions, Electromagnetic waveguides, Mathematical model, Nonhomogeneous media, Permittivity, Propagation constant
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Identifikatorer
URN: urn:nbn:se:hig:diva-21270DOI: 10.1109/ICEAA.2015.7297390ISI: 000378428800311Scopus ID: 2-s2.0-84955470610ISBN: 978-147997806-9 (tryckt)OAI: oai:DiVA.org:hig-21270DiVA, id: diva2:905697
Konferanse
17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, 7-11 September 2015, Torino, Italy
Merknad

Article number: 7297390

Tilgjengelig fra: 2016-02-23 Laget: 2016-02-23 Sist oppdatert: 2018-03-13bibliografisk kontrollert

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