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首页> 外文会议>NATO Advanced Study Institute on Soliton-driven Photonics Sep 24-Oct 4, 2000 Swinoujscie, Poland >EFFECTS OF NONLINEARLY INDUCED INHOMOGENEITY ON SOLITARY WAVE FORMATION
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EFFECTS OF NONLINEARLY INDUCED INHOMOGENEITY ON SOLITARY WAVE FORMATION

机译：非线性非均质性对孤波形成的影响

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摘要

The chapter presents a new scalar model of optical beam propagation in nonlinear media, as it is developed in. The model addresses narrow beams and stresses on nonlinearly induced diffraction, an effect of medium inhomogeneity introduced by the spatial variation of the nonlinear polarization. Strarting from the vector nonparaxial model of beam propagation in nonlinear media, it is shown that not the vectorial nature of the carrier wave field, but a scalar effect which comes out torn the (divE)-term in the wave equation and has the meaning of nonlinear diffraction, controls predominating over the nonparaxiality, the balance between diffraction and nonlinearity in the formation of the spatial solitons. The conclusion is based on analytical and numerical solutiuons of the nonlinear equations for the beam envelopes and on analysis of the wave power conservation laws derived. Both third (Kerr- type)- and second- order nonlinearities are treated as well as both planar waveguides and bulk media are covered. Single beam propagation and beam interaction and coupling are described. New solitary-wave solutions are presented.
机译：本章介绍了在非线性介质中传播的光束的新标量模型。该模型解决了窄光束和非线性诱导衍射的应力，非线性偏振的空间变化引入了介质非均匀性的影响。从非线性介质中光束传播的矢量非傍轴模型出发，表明不是载波场的矢量性质，而是从波动方程中的（divE）项中出现的标量效应，其含义为非线性衍射控制着非傍轴性，空间孤子形成中衍射与非线性之间的平衡。该结论是基于光束包络线非线性方程的解析和数值解法以及对导出的波功率守恒律的分析得出的。既处理了第三阶（Kerr型）非线性，也处理了第二阶非线性，并且覆盖了平面波导和体介质。描述了单束传播以及束相互作用和耦合。提出了新的孤立波解决方案。

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