Zhai Dede, Chen Shanyong, Shi Feng
Appl Opt. 2017 Oct 10;56(29):8067-8074. doi: 10.1364/AO.56.008067.
An exact multishear zonal algorithm is proposed to reconstruct two-dimensional wavefronts in frequency domain. The algorithm maintains the advantage of fast Fourier transform and loosens the "natural extension" requirement that the shear amounts must be divisors of sampling points N; therefore, it can be rapidly executed for large data arrays. The effect of tilt errors in multishear interferometry is analyzed and compensated in our method. The presented algorithm is applicable for a general aperture shape by using an iterative method. Application of large shears is allowed, and high resolution of the reconstructed wavefront can be achieved. Results of numerical simulations demonstrate the capability of our method.
提出了一种精确的多剪切区域算法，用于在频域中重建二维波前。该算法保留了快速傅里叶变换的优点，放宽了剪切量必须是采样点数N的除数这一“自然扩展”要求；因此，对于大数据阵列可以快速执行。在我们的方法中分析并补偿了多剪切干涉测量中倾斜误差的影响。通过使用迭代方法，所提出的算法适用于一般孔径形状。允许使用大剪切量，并且可以实现重建波前的高分辨率。数值模拟结果证明了我们方法的能力。
