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部分相干厄米-高斯列阵光束通过湍流大气传输的方向性

Directionality of Partially Coherent Hermite-Gaussian Array Beams Propagating in Atmospheric Turbulence

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摘要

推导出了部分相干厄米-高斯(H-G)列阵光束通过湍流大气传输的二阶矩束宽和远场发散角的解析公式。采用远场发散角作为光束方向性的评价参数,研究了部分相干H-G列阵光束通过湍流大气传输的方向性。研究表明:在一定条件下,部分相干H-G列阵光束与对应的高斯光束不论在自由空间还是湍流大气中均具有相同的方向性。此外,进一步研究发现,在自由空间中,由远场发散角和归一化远场平均光强分布所表征的部分相干H-G列阵光束的方向性是不一致的,但湍流可以使得两种描述相一致。这一结论与高斯-谢尔模型(GSM)列阵光束的相关结论存在差异。在自由空间中,与高斯光束具有相同远场发散角的非相干合成的GSM列阵光束与对应的高斯光束具有相同的归一化远场光强分布。

Abstract

The closed-form expressions for the mean-squared beam width and the far-field divergence angle of partially coherent Hermite-Gaussian (H-G) array beams propagating in atmospheric turbulence are derived. The far-field divergence angle is chosen as the characteristic parameter of beam directionality,and the directionality of partially coherent H-G array beams propagating in atmospheric turbulence is studied. It is shown that under certain conditions,partially coherent H-G array beams may generate the same directionality as a Gaussian laser beam in free space and also in turbulence. Furthermore,it is found that,the directionality of H-G array beams in terms of the far-field divergence angle is not consistent with that in terms of the normalized far-field average intensity distribution in free space,but both may be consistent in atmospheric turbulence. The result is some different from the behavior of GSM array beams. For the incoherent combination case,GSM array beams with the same far-field divergence angle as a Gaussian beam will have the same normalized far-field intensity distribution as the Gaussian beam in free space.

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中图分类号:O43

DOI:10.3788/aos20092912.3241

所属栏目:大气与海洋光学

基金项目:国家自然科学基金(60778048)资助课题。

收稿日期:2009-01-14

修改稿日期:2009-03-25

网络出版日期:0001-01-01

作者单位    点击查看

李晓庆:四川师范大学 物理学院,四川 成都 610068
季小玲:四川师范大学 物理学院,四川 成都 610068

联系人作者:李晓庆(lixiaoqing912@163.com)

备注:李晓庆|主要从事激光传输方面的研究|(1984-),女,硕士研究生。

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引用该论文

Li Xiaoqing,Ji Xiaoling. Directionality of Partially Coherent Hermite-Gaussian Array Beams Propagating in Atmospheric Turbulence[J]. Acta Optica Sinica, 2009, 29(12): 3241-3247

李晓庆,季小玲. 部分相干厄米-高斯列阵光束通过湍流大气传输的方向性[J]. 光学学报, 2009, 29(12): 3241-3247

被引情况

【1】刘飞,季小玲. 部分相干双曲余弦高斯阵列光束的湍流距离. 中国激光, 2011, 38(7): 713001--1

【2】邵晓利,季小玲. 湍流对部分相干厄米高斯列阵光束等效曲率半径的影响. 中国激光, 2011, 38(s1): 102003--1

【3】李晓庆,曹建勇,丁洲林,季小玲. 列阵平顶光束大气传输的热晕效应. 光学学报, 2019, 39(1): 126020--1

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