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The azimuthal symmetric hybrid waves in nonlinear cylindrical waveguide
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.ORCID-id: 0000-0003-0168-0282
2017 (engelsk)Inngår i: Progress in Electromagnetics Research Symposium, Electromagnetics Academy , 2017, s. 348-353Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

The propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear dielectric waveguide is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations. Spectral parameters of the problem are propagation constants of the waveguide. Numerical results are found with the modification of the shooting method. The method allows us to determine approximate eigenvalues with any prescribed accuracy. The comparison with known exact solutions (for particular values of parameters) are made. The approach described in this paper can be applied to other problems, e.g., to multilayered inhomogeneous waveguides.

sted, utgiver, år, opplag, sider
Electromagnetics Academy , 2017. s. 348-353
Emneord [en]
Eigenvalues and eigenfunctions, Numerical methods, Ordinary differential equations, Inhomogeneous waveguides, Nonlinear dielectric, Numerical results, Propagation constant, Shooting methods, Spectral parameters, System of ordinary differential equations, Transmission eigenvalue, Waveguides
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Identifikatorer
URN: urn:nbn:se:hig:diva-26727DOI: 10.1109/PIERS.2017.8261763ISI: 000427596700064Scopus ID: 2-s2.0-85044920341ISBN: 9781509062690 (digital)ISBN: 978-1-5090-6270-6 (tryckt)OAI: oai:DiVA.org:hig-26727DiVA, id: diva2:1212986
Konferanse
2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017, 22-25 May 2017, St. Petersburg, Russian Federation
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Swedish InstituteTilgjengelig fra: 2018-06-04 Laget: 2018-06-04 Sist oppdatert: 2018-06-04bibliografisk kontrollert

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