满足强非局域条件时,光束在非局域非线性介质的传输过程由Snyder-Mitchell模型描述,在旋转柱坐标系下求解了Shyder-Mitchell模型,得到涡旋光孤子的自相似旋转解析解。结果表明,涡旋光孤子解在径向是惠特克函数与幂函数的乘积,光束的光强呈环形分布,光束绕光束中心旋转。
We solved the equations of the Snyder-Mitchell model, which is a model describing the propagation of optical beams in nonlocal nonlinear media with strong nonlocality, in a rotating cylindrical coordinate system, and obtained a self-similar analytical solution of an optical vortex soliton. The result shows that the radial part of the solution is the product of the Whittaker and power function. The beam has a ring-shaped structure rotating around its core.