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University proceedings. Volga region. Physical and mathematical sciences, 2010, Issue 2, Pages 77–84 (Mi ivpnz628)  
Mathematics

A numerical method for solving a nonlinear eigenvalue problem for an inhomogeneous waveguide

S. N. Kupriyanova

Penza state university, Penza
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Abstract: Two numerical methods for solving nonlinear eigenvalue problem are proposed and justified. The results are generalized for the case of non-homogeneous dielectric waveguide of circular cross section filled with a dielectric exhibiting a local Kerr-type nonlinearity.
Keywords: non-homogeneous waveguide, Kerr-type nonlinearity, eigenvalue problem, dispersion relations.
Document Type: Article
UDC: 517.6
Language: Russian
Citation: S. N. Kupriyanova, “A numerical method for solving a nonlinear eigenvalue problem for an inhomogeneous waveguide”, University proceedings. Volga region. Physical and mathematical sciences, 2010, no. 2, 77–84
Citation in format AMSBIB
\Bibitem{Kup10}
\by S.~N.~Kupriyanova
\paper A numerical method for solving a nonlinear eigenvalue problem for an inhomogeneous waveguide
\jour University proceedings. Volga region. Physical and mathematical sciences
\yr 2010
\issue 2
\pages 77--84
\mathnet{http://mi.mathnet.ru/ivpnz628}
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