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Gdańsk University of Technology

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

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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