非局域光学格子中光束传输的变分研究

白东峰; 王毅; 华显立

doi:doi:10.3788/lop50.111901

激光与光电子学进展, 2013, 50 (11): 111901, 网络出版: 2013-10-29

非局域光学格子中光束传输的变分研究

Variational Investigation of Beam Propagation in Nonlocal Optical Lattice

论文大纲

白东峰 ^*王毅华显立

作者单位

河南工业职业技术学院光电工程系, 河南南阳 473009

非线性光学非局域非线性克尔介质光学格子变分法势函数 nonlinear optics nonlocal nonlinear Kerr medium optical lattice variational approach potential function

摘要

从理论上分析了在强非局域非线性光学格子中的光束传输特性。在强非局域克尔介质中通过实对称响应函数的泰勒展开，得到非线性薛定谔方程的简化了的拉格朗日密度，运用变分法，得出光束的束宽、振幅、相位等各个参量的演化方程。把光束看作等效粒子，通过对势函数的分析，得出形成格子孤子的临界功率。改变格子结构的周期、调制深度等参数，可以实现对孤子传输的控制，这在研究可控全光开关等方面具有潜在的应用价值。

Abstract

The beam propagation characteristics are investigated in nonlocal nonlinear optical lattice analytically. The reduced Lagrange density of nonlinear Schrdinger equation is obtained by expanding the real symmetric response function in Taylor′s series in strongly nonlinear Kerr media. The problem of beam propagation can be analyzed by a variational approach, and the equations of the beam width, amplitude, phase and other parameters of the trial solution are obtained for the evolution during propagation. The beam can be looked as a particle, and its critical power is found through analyzing the potential function. The soliton propagation can be controlled by changing modulation period, modulation depth and other parameters of optical lattice. This effect has potential applications in the fields such as controlled optical switches.

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白东峰, 王毅, 华显立. 非局域光学格子中光束传输的变分研究[J]. 激光与光电子学进展, 2013, 50(11): 111901. Bai Dongfeng, Wang Yi, Hua Xianli. Variational Investigation of Beam Propagation in Nonlocal Optical Lattice[J]. Laser & Optoelectronics Progress, 2013, 50(11): 111901.

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