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Stable One-Dimensional Periodic Wave in Kerr-Type and Quadratic Nonlinear Media

机译：Kerr型和二次非线性介质中的稳定一维周期波

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摘要

We present the propagation of optical beams and the properties of one-dimensional (1D) spatial solitons ("bright" and "dark") in saturated Kerr-type and quadratic nonlinear media. Special attention is paid to the recent advances of the theory of soliton stability. We show that the stabilization of bright periodic waves occurs above a certain threshold power level and the dark periodic waves can be destabilized by the saturation of the nonlinear response, while the dark quadratic waves turn out to be metastable in the broad range of material parameters. The propagation of (1+1) a dimension-optical field on saturated Kerr media using nonlinear Schrodinger equations is described. A model for the envelope one-dimensional evolution equation is built up using the Laplace transform.
机译：我们介绍了在饱和Kerr型和二次非线性介质中光束的传播以及一维（1D）空间孤子（“亮”和“暗”）的特性。特别关注孤子稳定性理论的最新进展。我们表明，明亮的周期波的稳定发生在某个阈值功率水平以上，并且黑暗的周期波可以通过非线性响应的饱和而不稳定，而黑暗的二次波在广泛的材料参数范围内却是亚稳态的。描述了使用非线性薛定inger方程在饱和Kerr介质上传播（1 + 1）维光学场的过程。使用拉普拉斯变换建立了包络一维演化方程的模型。

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  • 来源
    《Mathematical Problems in Engineering》 |2012年第5期|p.2.1-2.6|共6页
  • 作者

    Roxana Savastru; Simona Dontu; Dan Savastru; Marina Tautan; Vasile Babin;

  • 作者单位

    Department of Constructive and Technological Engineering—Lasers and Fibre Optic Communications, National Institute of R&D for Optoelectronics INOE 2000, 409 Atomistilor Street, P.O. Box MG-5, 077125 Magurele, Ilfov, Romania;

    Department of Constructive and Technological Engineering—Lasers and Fibre Optic Communications, National Institute of R&D for Optoelectronics INOE 2000, 409 Atomistilor Street, P.O. Box MG-5, 077125 Magurele, Ilfov, Romania;

    Department of Constructive and Technological Engineering—Lasers and Fibre Optic Communications, National Institute of R&D for Optoelectronics INOE 2000, 409 Atomistilor Street, P.O. Box MG-5, 077125 Magurele, Ilfov, Romania;

    Department of Constructive and Technological Engineering—Lasers and Fibre Optic Communications, National Institute of R&D for Optoelectronics INOE 2000, 409 Atomistilor Street, P.O. Box MG-5, 077125 Magurele, Ilfov, Romania;

    Department of Constructive and Technological Engineering—Lasers and Fibre Optic Communications, National Institute of R&D for Optoelectronics INOE 2000, 409 Atomistilor Street, P.O. Box MG-5, 077125 Magurele, Ilfov, Romania;

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