Abstract :
Projecting to orthogonal function basis allow us to derive (without averaging across the fiber as e.g. in Kodama, Y., & Hasegawa, A., 1981, Proc. IEEE Vol. 69, pp. 1445.) coupled nonlinear Schrodinger equation (NLSE) for multi-mode fibers. The basis, which we introduce, by electromagnetic field expansion, for waveguide modes, depends on a waveguide geometry (we consider fiber with cylindrical geometry which correspond to Bessel function basis), in this paper we analyze fiber with a weak nonlinearity descent from the Kerr effect. We present analytical and numerical results for nonlinear coefficients of CNLS equations. Also we show numerical result for CNLS equations solution for two mode problem and we compare this results with experiment
Keywords :
Bessel functions; computational geometry; electromagnetic fields; nonlinear equations; optical Kerr effect; optical fibre theory; Bessel function basis; Kerr effect; coupled nonlinear Schrodinger equation; cylindrical geometry; electromagnetic field expansion; nonlinear multimode fiber; orthogonal function basis method; waveguide geometry; waveguide modes; Boundary conditions; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic fields; Electromagnetic waveguides; Frequency; Geometry; Nonlinear equations; Optical fiber polarization; Optical waveguides;
