有球差多色高斯光束衍射引起的光谱开关

从空间频率域交叉谱密度函数的传输公式出发，推导出有球差多色高斯光束被硬边光阑衍射 后轴上光谱的解析公式，无像差的结果作为本公式的特例.对所得公式作了详细的数值计算 和物理分析.结果表明，球差高斯光束被硬边光阑衍射后近场的光谱与无像差时比较 有蓝移、红移，也会出现光谱开关.着重分析了球差对光谱开关的影响.关键词：现代光学光阑衍射光谱开关球差多色高斯光束

Diffraction-induced spectral switches of spherically aberrated polychromatic Gaussian beams

Starting from the propagation law of the cross spectral density function, an analytical expression for the on axis spectrum of spherically aberrated polychromatic Gaussian beams diffracted at an aperture is derived, the aberration free result is obtained as a special case treated in the paper. Detailed numerical calculations and physical analysis are presented. It is shown that the on axis spectrum in the near field may be redshifted and blueshifted in comparison with the aberration free case, and the spectral switch may also take place. In particular, the influence of spherical aberration on the behavior of spectral switches is illustrated.