| 非局域非线性介质中厄米高斯光束的变分解 |
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| 引用本文： | 白东峰,王毅,卢宏炎.非局域非线性介质中厄米高斯光束的变分解[J].光学仪器,2015,37(4):303-307. |
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| 作者姓名： | 白东峰 王毅 卢宏炎 |
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| 作者单位： | 河南工业职业技术学院 光电工程系, 河南 南阳 473009,河南工业职业技术学院 光电工程系, 河南 南阳 473009,河南工业职业技术学院 光电工程系, 河南 南阳 473009 |
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| 基金项目： | 河南省科技厅资助项目(122300410416) |
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| 摘 要： | 非局域非线性介质中的薛定谔方程很难用传统的方法得出精确解析解,利用变分法系统研究了强非局域非线性介质中厄米高斯光束的传输问题。通过对非线性介质中响应函数的展开,使得非线性薛定谔方程得以简化,求解出高阶高斯光束孤子解。利用数值模拟研究了厄米高斯光束在介质中传输时束宽不变的问题,结果显示当非局域程度非常大时,解析解非常接近数值解。
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| 关 键 词： | 非局域非线性介质 变分法 孤子 |
| 收稿时间： | 2014/10/28 0:00:00 |
A variational solution of Hermite Gaussian beams in the strongly nonlocal nonlinear media |
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| BAI Dongfeng,WANG Yi and LU Hongyan.A variational solution of Hermite Gaussian beams in the strongly nonlocal nonlinear media[J].Optical Instruments,2015,37(4):303-307. |
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| Authors: | BAI Dongfeng WANG Yi and LU Hongyan |
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| Affiliation: | Department of Photoelectric Engineering, Henan Polytechnic Institute, Nanyang 473009, China,Department of Photoelectric Engineering, Henan Polytechnic Institute, Nanyang 473009, China and Department of Photoelectric Engineering, Henan Polytechnic Institute, Nanyang 473009, China |
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| Abstract: | It is difficult to use the conventional method to obtain accurate analytical solution of the Schrodinger equation in the nonlocal nonlinear media. The propagation of Hermite-Gaussian (HG) beams in the strongly nonlocal nonolinear media is discussed with a variational method in this paper. The nonlinear Schrodinger equation can be simplified through expanding the response function in the nonlinear medium. The solution of high-order Gaussian beam soliton is obtained. The beam width of HG beam is unchanged when it propagates in the media by using numerical simulations. The results show that the analytical solution is closer to the numerical solution when the degree of the nonlocality is very large. |
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| Keywords: | nonlocal nonlinear media variational approach solitons |
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