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柯林斯公式的逆运算及其在波面重构中的应用
Anti-Calculation and Its Application of Collins Formula in Wavefront Reconstruction
【摘要】 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,然后将数字全息检测研究中的物平面及CCD探测平面视为ABCD系统的输入平面及输出平面,提出通过柯林斯公式的逆运算进行波面重构的一种计算方法。为便于该方法的实际应用,研究了参考光是球面波时全息图的频谱结构,并从理论上证明,全息图的频率空间中存在可以通过滤波器分离的物光及共轭物光的频谱。最后,通过理论模拟及实验研究证明了使用柯林斯公式的逆运算重构波面的可能性。
【Abstract】 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) detector plane which are used in the study of digital holographic detect,are treated as the input and output planes of an ABCD system.An algorithm of wavefront reconstruction is put forward based on the anti-calculation expression of Collins formula.In order to be applied easily in practice,the frequency spectral structure of a hologram when the reference light is a spherical wavefront,is researched.It is demonstrated in theory that the frequency spectra of object wave and its conjugate wave,which can be separated through a wave filter,exist in the frequency space of a hologram.Thus,via the theoretical simulation and experimental result the possibility of wavefront reconstruction using the anti-calculation of Collins formula is proved.
【Key words】 holography; Fresnel diffraction; digital holography; wavefront reconstruction;
- 【文献出处】 中国激光 ,Chinese Journal of Lasers , 编辑部邮箱 ,2005年11期
- 【分类号】O438.1
- 【被引频次】14
- 【下载频次】315