线性和二次电光效应下小振幅相干耦合空间孤子对（英文）

Low-amplitude coherently coupled spatial soliton pairs due to both the linear and quadratic electro-optic effects

研究了线性和二次电光效应共存的单光子光折变介质中小振幅情况下两个沿同一直线传播的空间光孤子间的相干耦合现象。研究结果表明在适当的条件下可以形成相干耦合暗-暗、亮-亮孤子对,得到了相干耦合孤子对的光场方程、解析解和孤子对宽度的表达式。线性和二次电光效应间的相互作用而产生相互增强、减弱甚至抵消的光折变效应对这些孤子对的形成、性质和传输规律具有重要的影响。另外,就两相干入射光的初始相位差、强度比和外加电场等三个因素对小振幅相干耦合孤子对的产生条件和性质的影响进行了详细的讨论。最后,采用微扰法分析了小振幅情况下亮-亮孤子对的自偏转效应。

A comprehensive study of coherent coupling of low-amplitude spatial solitons that co-propagate in biased photorefractive crystals with both the linear and quadratic electro-optic effects was presented.Our results were shown that coherently coupled bright-bright and dark-dark spatial soliton pairs in the low-amplitude regime could be formed under appropriate conditions.The evolution equations,analytic solutions and the expressions of soliton pair widths of these low-amplitude coherently coupled spatial soliton pairs were obtained.It was proven that the existence,property and propagation of these soliton pairs due to co-effects of both the linear and quadratic electro-optic effects was greatly influenced by the photorefractive effects which could be enhanced,weakened or even counteracted because of the interaction of these two electro-optic effects.Moreover,the effects of three physical factors,i.e.,the initial phase difference between two incident coherent beams,the intensity ratio and various external bias field on the existence conditions,properties of these low-amplitude coherently coupled soliton pairs have been discussed in detail.Finally,the self-deflection of low-amplitude bright-bright soliton pairs had also been investigated by means of perturbation procedure.