Rimmer M P
Appl Opt. 1974 Mar 1;13(3):623-9. doi: 10.1364/AO.13.000623.
Wavefront shearing interferometers have inherent advantages over more conventional interferometers because they do not need a separate reference wavefront. However, the fringe patterns are less directly related to the wavefront shape. In this paper, a method is described that uses data obtained from two lateral shear interferograms sheared in orthogonal directions to describe a wavefront of any arbitrary shape. Analysis of the data defines the wavefront on a regular grid, using a least squares criterion to match the measured data to the reconstructed shear data. Because each point on the final wavefront is involved in at most four measurements, the matrices tend to have many zero elements, making them easily solvable by simple numerical techniques, even for several hundred points. An error analysis indicates that the accuracy of the final results can be as good as the accuracy of the measured data. The procedure is described, and results of a typical analysis are shown.
波前剪切干涉仪相对于更传统的干涉仪具有固有优势，因为它们不需要单独的参考波前。然而，条纹图案与波前形状的直接关系较小。本文描述了一种方法，该方法使用从沿正交方向剪切的两个横向剪切干涉图获得的数据来描述任意形状的波前。对数据的分析在规则网格上定义波前，使用最小二乘法准则将测量数据与重建的剪切数据进行匹配。由于最终波前上的每个点最多参与四次测量，矩阵往往有许多零元素，即使对于几百个点，也可以通过简单的数值技术轻松求解。误差分析表明，最终结果的精度可以与测量数据的精度一样好。描述了该过程，并给出了典型分析的结果。
