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Transverse mode analysis for free-space laser beams using Bayesian analysis

机译：使用贝叶斯分析的自由空间激光束横向模式分析

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摘要

Reliable and rapid assessment of the transverse mode quality of a free-space laser beam has a wide range of applications in laser development, research, and utilization. It has become even more important with recent advances in developing orbital angular momentum photon beams across a broad spectral region. In this work, a general modal analysis method for a free-space multimode laser beam has been developed based on Bayesian analysis. After transforming mode decomposition into a linear system problem, a Gaussian probabilistic model is used to find a closed-form solution. The method is found to be robust with the presence of Gaussian noise. Prior knowledge about the mode content can be incorporated into the method to improve the solution for situations when coherent disturbances or contamination are present in the laser beam. This method can be used to analyze the mode content for laser beams in different bases, such as Hermite-Gaussian (HG) modes and Laguerre-Gaussian (LG) modes. Three applications of this method are presented: a detailed modal analysis of the beam image from the incoherent intensity addition of HG modes and two examples of mode decomposition using the complex wavefront from the coherent superposition of HG and LG modes. The feasibility of this method is demonstrated using various simulation results. Based on digital images of a laser beam recorded without complex wavelength-limiting optics, in principle, this method can be used in a wide wavelength range from infrared to ultraviolet, and possibly x ray. (C) 2021 Optical Society of America
机译：对自由空间激光束横模质量的可靠、快速评估在激光开发、研究和利用中有着广泛的应用。随着在宽光谱区域发展轨道角动量光子束的最新进展，它变得更加重要。本文基于贝叶斯分析方法，建立了自由空间多模激光束的通用模态分析方法。在将模式分解转化为线性系统问题后，使用高斯概率模型寻找封闭形式的解。该方法对高斯噪声具有鲁棒性。当激光束中存在相干干扰或污染时，可将有关模式内容的先验知识纳入该方法，以改进解决方案。该方法可用于分析厄米-高斯（HG）模和拉盖尔-高斯（LG）模等不同基模激光束的模含量。本文介绍了该方法的三个应用：对HG模的非相干强度叠加产生的光束图像进行了详细的模态分析，以及利用HG模和LG模的相干叠加产生的复波前进行模式分解的两个例子。通过各种仿真结果验证了该方法的可行性。基于在没有复杂波长限制光学元件的情况下记录的激光束的数字图像，原则上，该方法可用于从红外到紫外，甚至可能是x射线的宽波长范围。（2021）美国光学学会

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  • 来源
    《Applied optics》 |2021年第12期|共9页
  • 作者

    Liu Peifan; Yan Jun; Li Wei; Wu Ying K.;

  • 作者单位

    Duke Univ Dept Phys Durham NC 27708 USA;

    Duke Univ Dept Phys Durham NC 27708 USA;

    Duke Univ Dept Phys Durham NC 27708 USA;

    Duke Univ Dept Phys Durham NC 27708 USA;

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  • 正文语种 eng
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