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根据Li提出的平顶光束模型和部分相干光理论,推导出部分相干平顶光束在线性增益(损耗)介质中传输的光谱分布解析表达式,定量研究了部分相干平顶光束在线性增益(损耗)介质中传输的光谱特性,分析了近场和远场轴上光谱的变化特点,以及介质的增益(损耗)特性、光源的中心频率、空间相干参数以及谱宽等因素对光谱变化的影响.研究结果表明,部分相干平顶光束在线性增益(损耗)介质中传输时,光源的中心频率、光谱宽度、空间相干参数对相对谱移量影响较大,但对光谱分布随传输距离的总体变化趋势影响较小,而光谱分布随传输距离的总体变化趋势则主要由平顶光束的阶数所决定.
According to the flat-top beam model and the partially coherent light theory proposed by Li, the analytical expression of the spectral distribution of partially coherent flat-topped beams propagating in a linear gain (loss) medium is deduced. The linear gain (loss) of partially coherent flat- ), The spectral characteristics of the near-field and far-field axes, as well as the effects of the medium gain (loss) characteristics, the center frequency of the light source, the spatial coherence parameters and the spectral width on the spectral changes were analyzed. The results show that the center frequency, the spectral width and the spatial coherence of the light source have a great influence on the relative spectral shift when the partially coherent flat-topped beam propagates in the linear gain (loss) medium. However, the overall change of the spectral distribution with the transmission distance The influence of the trend is small, and the general trend of the spectral distribution with the transmission distance is mainly determined by the order of the flattened beam.