Open AccessAlgorithm of the non-interpolation wave-front reconstruction of the color digital holography
Author(s) -
Junchang Li,
Fan Ze-Bin
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.2457
Subject(s) - convolution (computer science) , digital holography , fresnel diffraction , wavefront , interpolation (computer graphics) , reconstruction filter , holography , fourier transform , computer science , nyquist–shannon sampling theorem , convolution theorem , optics , iterative reconstruction , sampling (signal processing) , diffraction , algorithm , mathematics , computer vision , artificial intelligence , mathematical analysis , physics , digital filter , filter (signal processing) , fourier analysis , image (mathematics) , artificial neural network , fractional fourier transform , root raised cosine filter
In the research of the color digital holography and digital holography measurement with multi-wavelength illumination, how to avoid the interpolation error in the wave-front reconstruction with variable magnification is an important subject to be studied. Since the Fresnel diffraction integral can be expressed as Fourier transformation as well as convolution form, there are two reconstruction approaches, one is the relay algorithm which divides the reconstruction distance into two parts, the other is the convolution algorithm which uses the spherical wave as reconstruction wave. In this paper, the two algorithms are theoretically analyzed and experimentally studied, and the condition satisfying the sampling theorem for the reconstruction calculation is discussed. The results show that the convolution approach satisfies the sampling theorem more readily, while higher quality reconstructed object wave field can be obtained with the convolution approach.