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Journal Article Analysis on Image Recovery for On-axis Digital Fresnel Hologram with Aliased Fringe Generated from Self-similarity of Point Spread Function
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Authors
Byung Gyu Chae
Issue Date
2020-07
Citation
Optics Communications, v.466, pp.1-9
ISSN
0030-4018
Publisher
Elsevier
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1016/j.optcom.2020.125609
Abstract
We analyze the aliasing phenomenon for on-axis digital Fresnel hologram with an enhanced numerical aperture (NA). The enhanced-NA digital hologram acquired computationally or optically at a closer distance from the object has an aliased fringe generated by undersampling process of the Fresnel prefactor. The point spread function known as Fresnel factor reveals a self-similar envelope when being sampled, which becomes a crucial mechanism in making this type of aliasing fringe of hologram. We describe that as the enhanced-NA hologram involves already the complementary aliased fringe that might come up in the reconstruction process, the robust recovery of object image can be realized. These behaviors are confirmed through numerical simulation. Based on the analysis of aliased hologram fringe, we provide a method for reconstructing the object image from the enhanced-NA digital Fresnel hologram without the shrinkage of image size.
KSP Keywords
Digital hologram, Fresnel hologram, Numerical aperture, Numerical simulation(Trnsys16), Object image, Point spread function(PSF), Reconstruction process, image recovery, image size, on-axis, self-similarity