Mode interaction in few-mode optical fibres with Kerr effect

摘要

We generalize the method of projection to orthogonal basis functions of transverse coordinates for a nonlinear (Kerr medium). fibre and apply this method in the case of a two-mode waveguide (each with two polarization modes). We use orthogonal Bessel functions that. fit the choice of the cylindrical geometry of fibre. The coupled nonlinear Schrodinger equations are derived for the envelopes of electromagnetic field wave trains in each mode. Analytic expressions and numerical results for coupling coefficients are given; the nonlinearity parameters' dependence on fibre radius is illustrated by plots and compared with results of other authors.