指数响应的强非局域介质中正交偏振双厄米高斯光束传输特性

J4 ›› 2015, Vol. 32 ›› Issue (5): 607-612.

指数响应的强非局域介质中正交偏振双厄米高斯光束传输特性

徐志勇,王形华

赣南师范学院物理与电子信息学院，江西赣州 341000

收稿日期:2014-10-30 修回日期:2015-02-02 出版日期:2015-09-28 发布日期:2015-09-28
通讯作者: 王形华（1963-）江西南康人，教授，主要从非线性光学传输理论的研究 E-mail:jxwxh@126.com
作者简介:徐志勇（1989-）江西九江人，研究生,主要从非线性光学传输理论的研究.E-mail：gnsyxzy@163.com
基金资助:
江西省教育厅科技项目（GJJ14667）、赣南师范学院研究生创新基金（YCX13B003）

Propagation properties of orthogonal polarization double Hermite-gaussian beams in strongly nonlocal medium with exponential-decay response

XU Zhiyong，WANG Xinghua

School of Physics and Electronic Information, Gannan Normal University, Ganzhou 341000, China

Received:2014-10-30 Revised:2015-02-02 Published:2015-09-28 Online:2015-09-28

摘要/Abstract

摘要：

运用变分法研究了具有e指数响应的强非局域介质中两束正交偏振、中心重合的厄米高斯光束的传输特性，得到了光束各参量的演化方程和一个临界功率Pc。当两光束以临界功率入射时，可以形成厄米高斯型空间光孤子；当两光束以总功率2Pc入射，但两光束入射功率不相等时，两光束可以形成厄米高斯型呼吸子。通过数值模拟研究发现，低阶光束时，可以得到近似孤子解；当光束阶数大于3阶时，则得不到孤子解。比较变分解与数值解，结果表明在光束阶数小于3阶时，变分解较好的反映了具有e指数响应的强非局域介质中两束正交偏振、中心重合的厄米高斯光束的传输特性。

关键词: 非线性光学, 厄米高斯空间光孤子, 变分法, 指数响应强非局域介质

Abstract:

The evolutional rules of parameters and critical powers of transmission of orthogonal polarization center-coincidence double Hermite-Gaussian beams are calculated with variational approximation method in strongly nonlocal medium with exponential-decay response. The Hermite-Gaussian spatial optical solitons are obtained when the two beams are incident with critical powers; The beams can form breathers when the two beams are incident with total critical power but two incident powers are different. By the research of numerical simulation, the beam of low order can get approximation soliton solution;while the order of beam is more than three,the soliton solution can’t be get. When comparing the variational solution with numerical solution, result shows that when the order of beam is under the third, variational solution can reflect the propagation properties of orthogonal polarization center-coincidence double Hermite-Gaussian well in strongly nonlocal medium with exponential-decay response.

Key words: Nonlinear optics, Hermite-Gaussian spatial optical soliton, Variational method, Strongly nonlocal medium with exponential-decay response

中图分类号:

O437

徐志勇王形华. 指数响应的强非局域介质中正交偏振双厄米高斯光束传输特性[J]. J4, 2015, 32(5): 607-612.

XU Zhiyong，WANG Xinghua. Propagation properties of orthogonal polarization double Hermite-gaussian beams in strongly nonlocal medium with exponential-decay response[J]. J4, 2015, 32(5): 607-612.

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