Abstract
The Fresnel transform and other linear canonical transforms are widely used to reconstruct digital holograms by numerical back-propagation. However, while the Fresnel transform exhibits index additivity, this useful feature is missing from many digital implementations of the Fresnel transform. In this paper, we discuss the interaction of algorithm and additivity, and show how the angular spectrum method is always unitary providing a unitary fast Fourier transform is used, but single-fft algorithms are not.
© 2017 Optical Society of America
PDF ArticleMore Like This
L. Zhao, I. Muniraj, J. J. Healy, and J. T. Sheridan
FTh4D.7 Frontiers in Optics (FiO) 2015
Liang Zhao, John Healy, Yang Wu, Inbarasan Muniraj, Ra’ed Malallah, Damien P. Kelly, and John T. Sheridan
W2A.24 Digital Holography and Three-Dimensional Imaging (DH) 2017
Yizhuo Zhang, Dayong Wang, Changgeng Liu, Yuhong Wan, and Zhuqing Jiang
WJ3_4 Conference on Lasers and Electro-Optics/Pacific Rim (CLEO/PR) 2009