| 傍轴高斯光束在强非局域介质中的传输特性 |
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| 引用本文： | 王形华,郭旗,谢逸群.傍轴高斯光束在强非局域介质中的传输特性[J].光学学报,2005,25(6):48-854. |
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| 作者姓名： | 王形华 郭旗 谢逸群 |
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| 作者单位： | 赣南师范学院物理与电子信息科学系,赣州,34100;华南师范大学传输光学实验室,广州,510631;华南师范大学传输光学实验室,广州,510631 |
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| 基金项目： | 国家自然科学基金(10474023)，广东省自然科学基金面上项目(031516)，重点项目(04105804)资助课题。 |
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| 摘 要： | 运用变分法研究了傍轴高斯光束在三维轴对称强非局域介质中的传输特性,得到了光束各参量的演化方程、一个势函数、一个临界功率和一个由强非局域介质特性与初始束宽决定的特征参量ε。通过对势函数的进一步分析,结果表明,作为强非局域模型,必须满足0≤ε<1/3。在此前提下,当初始功率等于临界功率时,可以得到稳定的空间孤子;对于一般情形,束宽则作周期性压缩或展宽变化,也可能将不断展宽。该结果与数值解基本一致。
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| 关 键 词： | 非线性光学 傍轴高斯光束 变分法 强非局域介质 空间孤子 |
| 收稿时间： | 2004/9/3 |
Propagation Properties the Paraxial Gaussian Beam in Strongly Nonlocal Media |
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| Wang Xinghua,Guo Qi,Xie Yiqun.Propagation Properties the Paraxial Gaussian Beam in Strongly Nonlocal Media[J].Acta Optica Sinica,2005,25(6):48-854. |
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| Authors: | Wang Xinghua Guo Qi Xie Yiqun |
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| Institution: | Wang Xinghua~1,2 Guo Qi2 Xie Yiqun21 Department of Physics and Electronic Information Science,Gannan Teachers College,Ganzhou 3410002 Laboratory of Light Transmission Optics,South China Normal University,Guangzhou 510631 |
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| Abstract: | The propagation of paraxial Gaussian beam in three-dimensional strongly nonlocal media is disccussed with a variational approach. A set of evolution equations are obtained for the beam. The potential function, critical power and ε determined by both the material property and the initial beam width are obtained. The analysis of the potential function shows that the model for the beam propagation in the strongly nonlocal media is valid only when 0≤ε<1/3. A stable optical spatial soliton is found when the input power equals the critical power. Generally, the beam width takes periodical contraction, diffraction, or always diffracts respectively. The results agree with the numerical solutions. |
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| Keywords: | nonlinear optics paraxial Gaussian beam variational approach strongly nonlocal media spatial soliton |
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