Propagation phenomena of nonlinear guided waves in graded-index planar waveguides

The dispersion relations, stability to propagation, absorption effects and Gaussian beam excitation of nonlinear TE waves guided by graded-index planar waveguides with both Kerr-law and saturable nonlinear cladding media are discussed numerically. The spatial soliton emission and the effects of linear absorption on spatial soliton emission in graded-index planar waveguides with Kerr-like nonlinear cover media are investigated by numerical techniques. The stationary field distribution and the guided wave power flow-effective mode index relationship are obtained using the finite element method. The propagation down the waveguide of nonlinear TE waves excited by a specific input beam is investigated numerically using the Crank-Nicolson finite-difference scheme combined with the Newton-Picard method for solving the corresponding system of nonlinear equations