| 激光的复宗量厄米-高斯相干模表示 |
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| 引用本文： | 但有全,张彬,李金全. 激光的复宗量厄米-高斯相干模表示[J]. 中国激光, 2009, 36(11). DOI: 10.3788/CJL20093611.2914 |
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| 作者姓名： | 但有全 张彬 李金全 |
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| 作者单位： | 1. 四川大学电子信息学院,四川,成都,610064;中国民航飞行学院物理教研室,四川,广汉,618307
2. 四川大学电子信息学院,四川,成都,610064 |
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| 基金项目： | 教育部新世纪优秀人才支持计划，四川省青年科技基金 |
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| 摘 要： | 利用部分相干光理论,以具有双正交性质的复宗量厄米-高斯(EHG)模为基底,推导出激光的EHG模相关系数(MCCs)和M2因子公式,建立了激光的EHG相干模表示与对应的常规厄米-高斯(SHG)相干模表示之间的关系,并讨论了两种典型的应用例.研究结果表明,激光的EHG模相关系数可以通过SHG模相关系数得到;当同阶模式的权重因子相同时,由彼此互不相关的EHG模式叠加而成的光束比由彼此互不相关的SHG模式叠加而成光束的光束质量更好.
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| 关 键 词： | 激光光学 复宗量厄米-高斯模 双正交基底 模相关系数 M2因子 |
Elegant Hermite-Gaussian Coherent-Mode Representation of Laser Light |
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| Dan Youquan,Zhang Bin,Li Jinquan. Elegant Hermite-Gaussian Coherent-Mode Representation of Laser Light[J]. Chinese Journal of Lasers, 2009, 36(11). DOI: 10.3788/CJL20093611.2914 |
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| Authors: | Dan Youquan Zhang Bin Li Jinquan |
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| Abstract: | By using the theory of partially coherent light and the basis set of biorthogonal elegant Hermite-Gaussian (EHG) modes, the analytical expressions for the mode coherence coefficients (MCCs) and M2-factor of laser light have been derived. The relation between the coherent-mode representation of laser beams in terms of EHG modes and that in terms of corresponding standard Hermite-Gaussian (SHG) modes has been built up. Furthermore, two typical application examples have been discussed. It can be shown that the MCCs in EHG coherent-mode representation can be obtained by use of the MCCs in SHG coherent-mode representation; for the case of the modes with the same orders having the same weight factors, the beam quality of the laser beams that are made up of a superposition of mutually uncorrelated EHG modes is better than that of mutually uncorrelated SHG modes. |
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| Keywords: | laser optics elegant Hermite-Gaussian modes biorthogonal basis set mode coherence coefficients M2-factor |
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