School of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China.
Opt Lett. 2010 Sep 15;35(18):3054-6. doi: 10.1364/OL.35.003054.
We propose a mathematic formula that can be applied to work out the amplitude distribution of a tested laser beam from its radial-shearing interferogram accurately, even if the amplitude distribution is extremely uneven. Provided that the background irradiance distribution of a tested beam is extracted from its cyclic radial-shearing (CRS) interferogram first, then using the radial-shearing ratio of the CRS interferometer, the amount of lateral shear along the orthogonal directions and the irradiance ratio, the amplitude distribution of a tested beam can be reconstructed accurately by the proposed formula. The simulation computation and experimental results show that the formula allows any amount of lateral shear to happen, as long as the contracted beam maintains its location inside its corresponding expanded version.
我们提出了一个数学公式，可以准确地计算出测试激光束的振幅分布，即使振幅分布极不均匀。只要首先从测试光束的循环径向剪切（CRS）干涉图中提取背景辐照度分布，然后使用 CRS 干涉仪的径向剪切比、沿正交方向的横向剪切量和辐照度比，就可以通过提出的公式准确地重建测试光束的振幅分布。模拟计算和实验结果表明，只要收缩光束保持在其相应扩展版本的内部位置，该公式允许发生任何量的横向剪切。
