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Numerical method for calculation of the generalized natural modes of an inhomogeneous optical fiber

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dc.contributor.author Karchevskiy E.
dc.date.accessioned 2018-09-18T20:35:16Z
dc.date.available 2018-09-18T20:35:16Z
dc.date.issued 2008
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/141415
dc.description.abstract The eigenvalue problem for generalized natural modes of an inhomogeneous optical fiber without a sharp boundary is formulated as a problem for the set of time-harmonic Maxwell equations with Reichardt condition at infinity in the cross-sectional plane. The generalized eigenvalues of this problem are the complex propagation constants on a logarithmic Reimann surface. The original problem is reduced to a nonlinear spectral problem with Fredholm integral operator. Theorem on spectrum localization is proved, and then it is proved that the set of all eigenvalues of the original problem can only be a set of isolated points on the Reimann surface, ant it also proved that each eigenvalue depends continuously on the frequency and refraction index and can appear and disappear only at the boundary of the Reimann surface. The Galerkin method for numerical calculation of the generalized natural modes is proposed, and the convergence of the method is proved. © 2008 IEEE.
dc.title Numerical method for calculation of the generalized natural modes of an inhomogeneous optical fiber
dc.type Conference Paper
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 501
dc.source.id SCOPUS-2008-SID51749099558


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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