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采用Rytov相位结构函数二次近似的方法,推导出了平顶光束在湍流大气中的光谱传输方程,详细研究了其光谱特性,并给出了合理的物理解释。研究表明,轴上点光谱为蓝移,随着离轴距离的增大,光谱由蓝移逐渐变为红移,轴外点存在多阶光谱跃变现象。随着湍流的增强,光谱位移量和光谱跃变量减小、光谱跃变现象消失。特别分析了平顶光束与高斯谢尔模型(GSM)光束通过湍流大气传输的光谱跃变之间存在的差异。
By using the method of Rytov quadratic approximation of phase structure function, the spectral transmission equation of flattened beam in turbulent atmosphere is deduced. Its spectral characteristics are studied in detail, and a reasonable physical explanation is given. The results show that the point spectrum of the axis is blue-shifted, and the spectrum shifts from blue-shift to red-shift as the off-axis distance increases. There are multi-order spectral transitions outside the axis. With the enhancement of turbulence, the amount of spectral shift and spectral jump decreases, and the phenomenon of spectral jump disappears. In particular, the differences between the spectral transitions of the flattened beam and the Gaussian Schell model (GSM) beam transmitted through the turbulent atmosphere are specifically analyzed.