The Analytical Solutions of Two-Photon Spatial Solitons in Biased Photovoltaic Photorefractive Crystal

摘要

The analytical solutions of Two-Photon Screening Photovoltaic (TPSP) spatial solitons are obtained in biased two-photon photovoltaic photorefractive crystals. Under low-amplitude conditions, the dynamical evolution equations degenerate into Manakov equations, the analytical soliton solutions of these Manakov equations are investigated in detail. The analytical expressions of the full width at half maximum are obtained for bright and dark TPSP solitons. The results demonstrate that Manakov soliton can exist in biased two-photon photorefractive crystals. The bright TPSP solitons have analytical expressions of secant profile and the dark ones have analytical expressions of tangent profile. The results also demonstrate that the widths of bright and dark TPDP soltions are inversely proportional to the square root of the combination of the external applied electric field and the photovoltaic field.