Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical systems

A. S. Kovalev; O. V. Usatenko; A. V. Gorbach

doi:10.1117/12.428323

30 May 2001 Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical systems

A. S. Kovalev, O. V. Usatenko, A. V. Gorbach

Proceedings Volume 4418, Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals; 441811 (2001) https://doi.org/10.1117/12.428323
Event: Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals, 2000, Alushta, Crimea, Ukraine

Abstract

We investigate the problem of nonlinear waves propagation in modulated nonlinear systems. The nonlinear optical medium with periodically changed in space refractive index represents the example of such modulated system. It is shown, that the dynamical equations for this system are similar to those for other modulated systems, e.g. diatomic elastic chain, two-sublattice ferromagnet and easy-plane antyferromagnet. The general type of dynamical equations for modulated systems with third-order nonlinearity is studied. The main result of our work is the qualitative analysis of all kinds of the small amplitude soliton excitations with frequencies lying in the gap and near the gap of the linear waves spectrum. We also study the evolution of the system phase portrait and bifurcation picture of the soliton solutions under changes of the medium parameters and nonlinear excitation frequency.

Citation Download Citation

A. S. Kovalev, O. V. Usatenko, and A. V. Gorbach "Qualitative analysis of gap and near-gap solitons in nonlinear modulated optical systems", Proc. SPIE 4418, Eighth International Conference on Nonlinear Optics of Liquid and Photorefractive Crystals, 441811 (30 May 2001); https://doi.org/10.1117/12.428323

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