Open AccessShifted Fresnel diffraction for computational holography
Author(s) -
Richard Patrick Muffoletto,
John M. Tyler,
J. E. Tohline
Publication year - 2007
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.005631
Subject(s) - fresnel diffraction , optics , holography , fresnel number , fast fourier transform , diffraction , fresnel zone , fresnel integral , fourier transform , computation , diffraction efficiency , fourier optics , computer science , fresnel zone antenna , physics , algorithm , telecommunications , smart antenna , quantum mechanics , dipole antenna , antenna (radio)
Fourier-based approaches to calculate the Fresnel diffraction of light provide one of the most efficient algorithms for holographic computations because this permits the use of the fast Fourier transform (FFT). This research overcomes the limitations on sampling imposed by Fourier-based algorithms by the development of a fast shifted Fresnel transform. This fast shifted Fresnel transform is used to develop a tiling approach to hologram construction and reconstruction, which computes the Fresnel propagation of light between parallel planes having different resolutions.