研究了傍轴厄米-椭圆高斯光束在强非局域非线性介质中的传输特性。 依据强非局域介质响应函数特征宽度远大于光束束宽, 对非局域非线性薛定谔方程进行了近似简化,得到了介质响应函数为椭圆对称情形下的强非局域模型。 在此基础上利用分离变量法得到了厄米-椭圆高斯空间光孤子解析解及其形成的条件。进一步研究发现, 随着厄米-椭圆高斯空间光孤子阶数的增大,光束束宽增大,介质的非局域程度相对减弱;要获得高阶椭圆高斯空间光孤子, 必须提高非局域介质的非局域程度。最低阶的厄米-椭圆高斯空间光孤子就是椭圆高斯空间光孤子。

The propagation properties of paraxial Hermite-elliptical Gaussian light beam in a strongly nonlocal nonlinear media are studied. As the characteristic width of response function is much bigger than the beam width, the nonlocal nonlinear Schr?dinger equation is simplified and the strongly nonlocal model with elliptic-symmetry medium response function is obtained. Using method of separation of variables, the analytic solution of Hermite-elliptical Gaussian spatial optical soliton and the conditions in which it forms are also derived. Further investigation shows that with increasing of rank of Hermite- elliptical Gaussian spatial optical soliton, the light beam width increases, the degree of non-locality of medium relatively weakens. To obtain high-rank elliptical Gaussian spatial optical soliton, the degree of non-locality of nonlocal medium must be raised. The lowest-rank Hermite-elliptical Gaussian spatial optical soliton is just elliptical Gaussian spatial optical soliton.