Blair Steve
Department of Electrical Engineering, University of Utah, Salt Lake City, Utah 84112-9206.
Chaos. 2000 Sep;10(3):570-583. doi: 10.1063/1.1286265.
Scalar and vector nonlinear nonparaxial evolution equations are developed for propagation in two-dimensions. Using standard soliton scalings, it is found that nonparaxial propagation is accompanied by higher-order linear and nonlinear terms and an effective quintic nonlinear index. The presence of an intrinsic quintic nonlinearity arising from chi((5)) must also be considered at the order of the analysis. These terms represent corrections to the well-known nonlinear Schrodinger equation. Exact and approximate solutions to these higher-order evolution equations are obtained and are shown to exhibit quasi-soliton behavior based on propagation and collision studies. (c) 2000 American Institute of Physics.
标量和矢量非线性非傍轴演化方程是针对二维传播而推导出来的。通过使用标准孤子标度,发现非傍轴传播伴随着高阶线性和非线性项以及一个有效的五次非线性折射率。在分析阶次上,还必须考虑由χ(5)产生的固有五次非线性的存在。这些项代表了对著名的非线性薛定谔方程的修正。得到了这些高阶演化方程的精确解和近似解,并通过传播和碰撞研究表明它们呈现出准孤子行为。(c) 2000美国物理研究所。