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- Title
Improved Approximation of the Free-Space Fresnel Diffraction by the Fractional Fourier Transform.
- Authors
Boucherit, S.; Bouamama, L.; Bouafia, M.; Wernicke, G.
- Abstract
The Fresnel diffraction of an object illuminated by a plane wave, in the free space propagation, is of great interest in several optical applications, mainly, for numerical reconstruction of holograms in digital holography. The Fractional Fourier transform (FrFT) seems to be a convenient tool for the approximation of such diffraction. It was pointed out in several works, that this approximation is valid only under the appropriate values of the parameters of the FrFT and with respect of certain restrictive conditions. However the result still suffers from errors due to the scaling factors and the accuracy of the approximation will be lost if we move away the central order. In this paper we present an analytical approach based on FrFT permitting to describe the Fresnel diffraction in the free space propagation with a very good precision on the whole pattern of diffraction including, low and high frequencies.
- Subjects
OPTICAL diffraction; HOLOGRAPHIC interferometry; OPTICAL interference; PHOTONICS; SPECKLE metrology; THREE-dimensional display systems
- Publication
International Review of Physics, 2007, Vol 1, Issue 4, p236
- ISSN
1971-680X
- Publication type
Article