Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu, China.
Opt Lett. 2011 Sep 15;36(18):3693-5. doi: 10.1364/OL.36.003693.
In a radial shearing interferometer, a portion of the test beam is magnified and used as the reference for the tested wavefront. However, the reference portion is always off center (lateral shear), which complicates the wavefront reconstruction. A modal method for solving this problem is presented here. This method uses orthogonal Zernike polynomials and its matrix formalism to calculate the Zernike coefficient of the wavefront under test. This approach has easier implementation, is better filtering, and has a more adaptive practical situation. The corresponding mathematical formula is deduced, and a computer simulation is also made to verify operation of the algorithm. The result of simulation analysis shows that the proposed method is correct and accurate.
在径向剪切干涉仪中，测试光束的一部分被放大并用作测试波前的参考。然而，参考部分总是偏离中心（横向剪切），这使得波前重建变得复杂。这里提出了一种模态方法来解决这个问题。该方法使用正交泽尼克多项式及其矩阵形式来计算测试波前的泽尼克系数。这种方法具有更简单的实现方式、更好的滤波效果，以及更具适应性的实际情况。推导出了相应的数学公式，并进行了计算机模拟以验证算法的运行。模拟分析的结果表明，所提出的方法是正确和准确的。
