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(2)
Laser Beam Shaping
Fourier Transform
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(2)
Phase retrieval in the Fresnel transform system:a recursive algorithm
Deterministic phase retrieval: a Green’s function solution
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GerchbergSaxton algorithm applied in the fractional Fourier or the Fresnel domain
GerchbergSaxton algorithm applied in the fractional Fourier or the Fresnel domain,10.1364/OL.21.000842,Optics Letters,Zeev Zalevsky,David Mendlovic,R
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GerchbergSaxton algorithm applied in the fractional Fourier or the Fresnel domain
(
Citations: 31
)
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Zeev Zalevsky
,
David Mendlovic
,
Rainer G. Dorsch
Journal:
Optics Letters
, vol. 21, no. 12, pp. 842844, 1996
DOI:
10.1364/OL.21.000842
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Citation Context
(6)
...Unlike the traditional GerchbergSaxton (GS) algorithm [3], we use the nonparaxial version of the angular spectrum of plane waves (ASPW) to propagate the fields from one plane to another [4,
5
] (rather than the Fourier transform) allowing for the intensities from any plane to be used (not just the focal plane, and the plane just before the lens)...
Pamela Bowlan
,
et al.
Phase retrieval and the measurement of the complete spatiotemporal ele...
...In spite of the existence of several successful iterative algorithms for phase reconstruction from the squared modulus of the signal and its power spectrum, or its Fresnel spectrum, that were proposed recently [
1
][4], the development of noniterative procedures remains an attractive research topic...
...Note that the GerchbergSaxton algorithm applied in the fractional Fourier domain for phase retrieval from two fractional FT power spectra for angles and + becomes unstable, and does not converge if < 15 [
1
], while our method works especially for small ...
...Note that the noise robustness was not considered in [
1
] [4], which papers were devoted to the recursive algorithms for phase retrieval from the fractional FT power spectra...
Tatiana Alieva
,
et al.
Signal reconstruction from two close fractional Fourier power spectra
...We consider Eq. (14) to be our main result, because it relates the phase derivative of the signal, p(x) in (
1
), with a convolution integral of the derivative of the signal intensity  (x)2 with respect...
...The integration of (
1
) recovers the signal phase (up to an overall constant) through ’(x) = R x p(x0) dx0...
Martin J. Bastiaans
,
et al.
Phase reconstruction from intensity measurements in linear systems
...The phase retrieval from intensity distributions is a very old problem, which can be solved in different ways, see for example [1, 2, 3,
4
, 5]. In order to create a more optimal algorithm, all possible additional knowledge about an optical signal has to be taken into account...
...Recently several methods of phase retrieval based on the properties of the fractional FT were proposed: iterative and recursive algorithms for phase recovering from the intensity distributions in two fractional FT domains were discussed in [
4
] and [5], respectively...
...Therefore, our method of phase retrieval is based on other initial information than the GerchbergSaxton algorithm [
4
] or the recursive algorithm for phase retrieval in the fractional FT domain [5], which both use two fractional Fourier power spectra for phase reconstruction...
Tatiana Alieva
,
et al.
Finitemode analysis by means of intensity information in fractional o...
...We can also use the fractional convolution for the application of beam shaping [
28
]...
SooChang Pei
,
et al.
Relations between fractional operations and timefrequency distributio...
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Citations
(31)
Multistage phase retrieval algorithm based upon the gyrator transform
José A. Rodrigo
,
Hamootal Duadi
,
Tatiana Alieva
,
Zeev Zalevsky
Journal:
Optics Express  OPT EXPRESS
, vol. 18, no. 2, 2010
Strategy for cryptanalysis of optical encryption in the Fresnel domain
Guohai Situ
,
Giancarlo Pedrini
,
Wolfgang Osten
Journal:
Applied Optics  APPL OPT
, vol. 49, no. 3, 2010
Extended depth of focus imaging: a review
Zeev Zalevsky
Journal:
Spie Reviews
, vol. 1, no. 1, 2010
Phase retrieval and the measurement of the complete spatiotemporal electric field of ultrashort pulses
Pamela Bowlan
,
Rick Trebino
Published in 2010.
Image deblurring through static or timevarying random perturbation medium
(
Citations: 3
)
Eran Gur
,
Zeev Zalevsky
Journal:
Journal of Electronic Imaging  J ELECTRON IMAGING
, vol. 18, no. 3, 2009