部分相干矩形阵列光束在自由空间中的谱移

根据广义惠更斯-菲涅尔衍射积分方法,推导出按矩形方式排布的部分相干高斯-谢尔模型阵列光束的光谱传输公式,定量分析了部分相干高斯-谢尔模型阵列光束在自由空间传输时轴上和离轴相对谱移的变化,并详细讨论了阵列参数和子光束的空间相干参数对相对谱移的影响。结果表明,部分相干高斯-谢尔模型阵列光束通过自由空间传输后,其相对谱移与光源处的谱密度、子光束的空间相干参数以及子光束数目和子光束间距等阵列参数有关,其中,阵列参数对相对谱移的影响非常显著。

Spectral shift of partially coherent rectangular array beams in free space

According to the extended Huygens-Fresnel integral, propagation formulas of the spectrum of partially coherent Gaussian-Schell model(GSM) rectangular array beams have been derived. The changes of on-axis and off-axis spectral shifts in free space have been analyzed quantitatively. The effects of array beam parameters and the spatial coherent parameter of array beamlets on the spectral shifts have been discussed in detail. The results show that the spectral shifts of GSM array beams in free space depend on the source spectral density, the spatial coherent parameter of array beamlets, as well as the array beam parameters, i.e., the number and the separation of beamlets. Especially, the effect of the array beam parameters on the relative spectral shifts is more obvious.