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Reduced numerical models for misaligned beam propagation dynamics in nonlinear gradient waveguides

We briefly summarize our results based on the modified generalised moment method (MGMM) approach to misaligned beam dynamics in waveguides having parabolic profile of the linear refraction index and homogeneous Kerr nonlinearity. The limitations of the model are analysed. A more realistic model that allows direct application of MGMM and takes the leaky modes into account is proposed. Comparison with direct numerical solution of the paraxial wave equation in the symmetric case is carried out. General limitations of MGMM to transit phenomena that take place at the initial staged of propagation are discussed.