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Journal ArticleDOI

Lensless imaging from diffraction intensity measurements by use of a noniterative phase-retrieval method.

Nobuharu Nakajima
- 10 Mar 2004 - 
- Vol. 43, Iss: 8, pp 1710-1718
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TLDR
It is shown that the object's illumination with amplitude distribution in the Fraunhofer diffraction pattern of a circular aperture can be used as a substitute for the Gaussian filter in a noniterative phase-retrieval method that can retrieve phase vortices.
Abstract
A method of reconstructing the complex amplitude of an object that is illuminated by a coherent wave from its Fresnel diffraction patterns is proposed for high-frequency wave phenomena such as x-rays and electron waves. A noniterative phase-retrieval method that uses a Gaussian filter is employed here, and it is shown that the object's illumination with amplitude distribution in the Fraunhofer diffraction pattern of a circular aperture can be used as a substitute for the Gaussian filter. This method has an advantage over other noniterative phase-retrieval methods in that it can retrieve phase vortices.

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Citations
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Journal ArticleDOI

Non-interferometric, non-iterative phase retrieval by Green’s functions

TL;DR: In this article, a non-interferometric, non-iterative method for phase retrieval by Green's functions is presented based on the parabolic wave equation that describes propagation of light in the Fresnel approximation in homogeneous media.
Journal ArticleDOI

Lensless coherent imaging by a deterministic phase retrieval method with an aperture-array filter

TL;DR: The procedure for reducing the influence of noises on the phase retrieval is presented, in which the phase information contained in multiple groups of sampling data of a single intensity distribution is utilized.
Journal ArticleDOI

Phase retrieval from diffraction intensities by use of a scanning slit aperture.

TL;DR: A noniterative method of retrieving the phase of a wave field from intensities measured during scanning of a slit aperture, in which a novel phase calculation technique that uses Fourier transforms is included.
Journal ArticleDOI

Mask-assisted deterministic phase-amplitude retrieval from a single far-field intensity diffraction pattern: two experimental proofs of principle using visible light.

TL;DR: An experimental demonstration of each of these two variants of this closed-form algorithm, which allows one to reconstruct the complex scalar wavefield at the exit surface of a sample, from the intensity of its far-field coherent diffraction pattern which is obtained in the presence of a suitable object-plane mask.
Journal ArticleDOI

Improvement of resolution for phase retrieval by use of a scanning slit.

TL;DR: The spatial-frequency band for the object reconstruction, which is limited in a previous method by the extent of the Fourier transform of the slit function, can be extended to the bandwidth dependent on the scanning area with the slit in the improved method.
References
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Journal ArticleDOI

Phase retrieval algorithms: a comparison.

TL;DR: Iterative algorithms for phase retrieval from intensity data are compared to gradient search methods and it is shown that both the error-reduction algorithm for the problem of a single intensity measurement and the Gerchberg-Saxton algorithm forThe problem of two intensity measurements converge.
Journal Article

A practical algorithm for the determination of phase from image and diffraction plane pictures

R. W. Gerchberg
- 01 Jan 1972 - 
TL;DR: In this article, an algorithm is presented for the rapid solution of the phase of the complete wave function whose intensity in the diffraction and imaging planes of an imaging system are known.
Journal ArticleDOI

A new microscopic principle.

Dennis Gabor
- 01 May 1948 - 
TL;DR: An improvement of the resolution by one decimal wotild require a correction of the objective to four decimals, a practically hopeless task.
Journal ArticleDOI

Dislocations in wave trains

TL;DR: In this paper, it was shown that dislocations are to be expected whenever limited trains of waves, ultimately derived from the same oscillator, travel in different directions and interfere -for example in a scattering problem.
Journal ArticleDOI

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens

TL;DR: Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens was proposed in this paper, where the authors extended the methodology to allow the imaging of micro-scale specimens.
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