强非局域介质中傍轴高斯光束在传输特性的变分研究

A Variational Investigation of the Gaussian Beam Propagation Properties in Strongly Nonlocal Media

利用变分原理,研究了三维傍轴高斯光束在轴对称强非局域非线性介质中的传输特性,得到了傍轴高斯光束各参量的演化规律和一个临界功率。当初始功率等于临界功率时,可以得到一个稳定的空间孤子,而一般情形下,束宽则作周期的压缩或展宽变化。

The three-dimensional paraxial Gaussian beam propagation properties is investigated in axial symmetric strongly nonlocal nonlinear media by the means of variation method, the parameters′ evolution law and a critical power is obtained. When the initial power equals the critical power, a stabile spatial soliton is obtained, and generally the beam width takes periodical contraction or diffraction.