柯林斯公式及其逆运算在处理离焦图像中的应用

给出描述光波通过傍轴光学系统衍射的柯林斯公式及其逆运算表达式。根据在数字全息研究中可以将物平面及CCD平面视为ABCD系统的输入平面及输出平面,本文提出通过柯林斯公式的逆运算进行离焦图像复原的一种计算方法,并且,基于相移法和计算机编程技术,给出离焦图像复原的计算机模拟实例,证明了算法的可行性。

Application of Collins' formula and its inverse calculation in dealing with defocas image

Collins formula,which describes the diffraction of light wave passed through a near-axis optical system,and its inverse calculation expression are presented in this paper.The object plane and charge coupled device(CCD)sensor plane which is used to record image in the study of digital holography,are reckoned the input and output planes of an ABCD system.A kind of calculation method is put forward to reconstruct a defocus image based on inverse Collins' formula,the phase-shifting method and computer programming in this paper.A real simulation example is given in the paper to validate the method.