根据光束在介质中传输强度二阶矩计算公式,推导出部分相干平顶光束在增益或损耗介质中传输的M~2因子解析表达式,并将高斯-谢尔模型光束在增益或损耗介质中的传输作为特例统一于一般表达式中.研究结果表明:部分相干平顶光束在增益或损耗介质中传输时的M~2因子与光束传输距离、光束相干长度、光束阶数及介质的特性有关.光束在增益或损耗介质中传输的这种特性为应用和控制光束传输提供了理论依据.%According to the second-order moments intensity formula of the beam propagating in the gain or loss media, an analytical expression for M~2-factor of partially coherent flat-top beams propagating in the media is derived, and Gaussian-Schell model beams propagation in gain or loss media, which is taken as a particular case, is integrated into a common expression. The research result shows that the M~2-factor of partially coherent flat-top beams propagating in the gain or loss media is relative to the propagation distance, the coherent length, the order of the beams and the character of media. The propagation characteristic of the beams propagating in the gain or loss media provides a theoretical basis for the application and control of the beam propagation.
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