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The equations for interactions of polarization modes in optical fibres including the kerr effect

Abstract

We have derived coupled nonlinear Schro¨ dinger equations (CNLSE) for arbitrary polarized light propagation in a single-mode fibre employing electromagnetic field complete description. We used a basis of transverse eigenmodes with appropriate projecting; hence, the nonlinear constants depend on the waveguide geometry. Accounting for a weak nonlinearity, which is connected to the Kerr effect, we have given explicit expressions for the nonlinear constants via integrals of Bessel functions. We plotted the dependence of the nonlinearity parameter on the fibre radius and compared the results with those of other authors for the single nonlinear Schro¨ dinger equation (NLSE). The method introduced by us allows for direct transition to a multi-mode fibre case.

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Category:
Articles
Type:
artykuł w czasopiśmie z listy filadelfijskiej
Published in:
JOURNAL OF MODERN OPTICS no. 55, pages 3651 - 3664,
ISSN: 0950-0340
Language:
English
Publication year:
2008
Bibliographic description:
Reichel B., Leble S.: The equations for interactions of polarization modes in optical fibres including the kerr effect// JOURNAL OF MODERN OPTICS. -Vol. 55., nr. iss. 21 (2008), s.3651-3664
DOI:
Digital Object Identifier (open in new tab) 10.1080/09500340802428264
Verified by:
Gdańsk University of Technology

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