标题： “精确”解的圆偏振克尔孤子 显示英文标题

标题： "Exact" solutions for circularly polarized Kerr solitons

摘要： 对于描述克尔介质中单色光波的非线性矢量旋度-旋度方程，提出了一种精确约化方法，这导致了一个由四个一阶常微分方程组成的系统，用于横向径向坐标函数。 该系统的数值解，在适当的边界条件下，提供了关于主要由一定圆偏振组成的强非线性、稳定光学束内部结构的全部信息，但包含一小部分相反偏振，其中含有双涡旋，以及电场的平行分量中含有普通涡旋。 显示英文摘要

摘要： For the nonlinear vector curl-curl equation describing a monochromatic light wave in a Kerr medium, an exact reduction is suggested which results in a system of four ordinary differential equations, of the first order each, for functions of the transverse radial coordinate. Numerical solutions of this system, with appropriate boundary conditions, give full information about internal structure of a strongly nonlinear, stationary optical beam consisting mainly of a definite circular polarization, but with a small portion of the opposite polarization containing a double vortex, as well as with the parallel component of the electric field containing an ordinary vortex.