强非局域介质中1+1维高斯型损耗空间双孤子的相互作用

研究了1+1维高斯型双光束在含小损耗的强非局域非线性介质中的传输特性。通过对该介质中光束传输遵循的非局域非线性薛定谔方程进行近似简化,得到了含小损耗强非局域非线性介质中1+1维高斯型双光束传输模型。在此基础上运用解析的方法研究了双光束传输的演化规律，得到了准双孤子解。经过进一步分析发现，在传输过程中两光束中心的轨迹为艾里函数；两光束会准周期性地碰撞、分离；随着传输距离的增大，两光束中心之间的最大距离会越来越大。另一方面，当损耗逐渐增大时,两光束的碰撞空间周期将变短，同时两光束中心之间的最大距离也越来越大。

Interaction between (1+ 1) D Gaussian spatial double solitons with losses in strongly nonlocal media

The propagation properties of (1+1) D Gaussian double light beams in strongly nonlocal nonlinear media with low losses are studied. By simplifying the nonlocal nonlinear Schrdinger equation which the light propagation in strongly nonlocal nonlinear media with low losses obeys, the propagation model of (1+1) D Gaussian double light beams in the media is obtained. With analysis method, the evolution laws of double light beams propagation are studied, the quasi double solitons solution is obtained. Further studies point out that the trajectories of the two light beams’ centers in propagation are Airy functions; the two light beams will collide and separate; with the increase of propagation distance, the maximal distance between the two light beams’ centers will become larger. When the losses increase, the collision spatial period will become smaller, and the maximal distance between the two light beams’ centers will become larger.