Non-uniform Fourier Domain Stretching method for ultra-wide-angle wave propagation

Numerical inspection of wide-angle (WA) or ultra-wide-angle (UWA) computer-generated holograms (CGH) is a computationally demanding task. To surpass this limitation, we propose a novel computational approach for fast and accurate WA-CGH reconstruction based on Fast Fourier transform Fresnel diffract...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Kozacki, Tomasz, Martinez-Carranza, Juan, Chlipala, Maksymilian, Kukolowicz, Rafal, Idicula, Moncy S
Format: Article
Language:English
Subjects:
Algorithms
Fast Fourier transformations
Fourier transforms
Frequency distribution
Fresnel diffraction
Holograms
Reconstruction
Spherical waves
Stretching
Wave diffraction
Wave propagation
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Summary:Numerical inspection of wide-angle (WA) or ultra-wide-angle (UWA) computer-generated holograms (CGH) is a computationally demanding task. To surpass this limitation, we propose a novel computational approach for fast and accurate WA-CGH reconstruction based on Fast Fourier transform Fresnel diffraction (FrT) and non-uniform frequency hologram magnification. This novel algorithm, referred to as the non-uniform Fourier Domain Stretching (NU-FDS) method, is based on approximating a spherical wave coming from any object point with a parabolic wave, with the points of convergence of the two waves being different. It is supported by a mathematical solution developed using phase-space to determine the frequency distribution needed to find the distribution of non-uniform magnification. It corrects the axial distance of a parabolic wave so the FrT solution can be applied for WA-CGH reconstruction. The NU-FDS algorithm also allows the reconstruction of a partial view with freedom of position and size selection, reducing computation time. In this way, the NU-FDS method enables fast and accurate quantitative assessment of the 3D information coded into the CGH. The presented evidence shows that the NU-FDS algorithm can accurately and efficiently reconstruct large and highly detailed 3D objects from WA and UWA CGH of FoV and resolution up to 120{\deg} and 16K, respectively.
ISSN:2331-8422