多色高斯-谢尔模型光束通过球差透镜的光谱变化

基于部分相干光的传输方程研究了多色高斯一谢尔模型光束通过球差透镜的光谱变化。结果表明，多色高斯一谢尔模型光束通过球羞透镜后的轴上光谱与空间相关参量β，球差系数C1，源光谱谱宽σ0，位置z有关。着重分析了球差对轴上光谱的影响，将所得的结果与无像差的理想情况作了比较。当无球差时，轴上光谱仅有蓝移，而有球差时，轴上光谱存在蓝移或红移，并会出现光谱分裂现象。在某些特定位置处，轴上光谱分裂为等高双峰，并有跃变出现。而且，球差对光谱的影响随空间相关性增加而变得明显。当空间相关参量减小到某一值时，光谱分裂消失。

Spectral Changes in Polychromatic Gauss-Schell-Model Beams Passing Through a Spherically Aberrated Lens

Based on the propagation equation of partially coherent light,the spectral changes in polychromatic Gauss-Schell-model (GSM) beams propagating through a lens with spherical aberration are studied .It is shown that the on-axis spectrum of polychromatic GSM beams passing through the spherically aberrated lens depends on the spatial correlation parameter β, spherical aberration C4, band-width σ0 of the source and position parameter z in general. The attention is focused on the effect of spherical aberration on the on-axis spectrum and the results are compared with those for the aberration-free case. It is shown that the on-axis spectrum is blue-shifted or red-shifted in the presence of the spherical aberration, whereas there is only the blue shift for the aberration-free case. Additionally, the spectral splitting can take place. The spectrum is split into two curves with equal height, and a rapid transition appears at critical positions. Moreover, the effect of spherical aberration becomes noticeable with increasing spatial correlation. The spectral splitting vanishes if the spatial correlation parameter is less than a certain value.