Abstract
Abstract We investigate for the first time, the temporal evolution, propagation and interaction of cos-gaussian beams in novel photorefractive crystals having both the linear and quadratic electro-optic effect. The dynamical evolution equation is set up as a function of time using the Helmholtz equation in the paraxial approximation using the photorefractive charge transport model. The analysis is performed theoretically using the finite difference method to solve the dyamical evolution equation. Diffraction effects are prominent initially since the photorefractive effect has not built up while at larger values of time, we see self trapping and formation of breather solitons and Y-type solitons. A detailed study is subsequently undertaken for the propagation of cos-gaussian beams of different cosine modulation parameters and at various different values of the external electric field once steady state has been reached. Self trapping and formation of optical spatial solitons including breathing solitons and Y-type breathing solitons are observed as the nonlinearity is strengthened by increasing the external electric field. The characteristics of the solitons are dependent upon the modulation parameter of the cos-gaussian beam. The PMN-0.33PT crystal is taken for illustration of the results. Further, the interplay between the linear and the quadratic electro-optic effect and the ensuing effect on the propagation of the cos-gaussian beams is investigated for various cosine modulation parameters. Finally, the interaction of two cos-gaussian beams is studied for in phase and out of phase beams considering various cosine modulation parameters and various separation distances.
Published Version
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