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Open AccessJournal ArticleDOI

Off-axis digital hologram reconstruction: some practical considerations

Nicolas Verrier, +1 more
- 01 Dec 2011 - 
- Vol. 50, Iss: 34
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TLDR
The influence of experimental parameters on the classical hologram reconstruction methods is assessed, offering guidelines for optimal image rendering regarding the hologram recording conditions.
Abstract: 
Holographic rendering of off-axis intensity digital holograms is discussed. A review of some of the main numerical processing methods, based either on the Fourier transform interpretation of the propagation integral or on its linear system counterpart, is reported. Less common methods such as adjustable magnification reconstruction schemes and Fresnelet decomposition are presented and applied to the digital treatment of off-axis holograms. The influence of experimental parameters on the classical hologram reconstruction methods is assessed, offering guidelines for optimal image rendering regarding the hologram recording conditions.

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Journal Article

Digital decoding of in-line holograms

Levent Onural, +1 more
- 01 Jan 1998 - 
TL;DR: The proposed filter is a truncated series expansion of the inverse of that operator that maps object opacity function to hologram intensity, which is shown to be equivalent to conventional (optical) reconstruction, with successive terms increasingly sup-pressing the twin image.
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Off-axis digital holographic microscopy: practical design parameters for operating at diffraction limit

Emilio Sánchez-Ortiga, +4 more
- 01 Apr 2014 - 
TL;DR: A thorough analysis of the physical parameters that control the appropriate utilization of MOs in DHM is presented and a set of the criteria that consider the microscope features and the recording parameters to achieve DHM operation at the diffraction limit is derived.
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Mechanisms of spatiotemporal mode-locking

Logan G. Wright, +9 more
- 01 May 2020 - 
TL;DR: In this paper, the authors present a theoretical approach to understand three-dimensional spatiotemporal mode-locking, which is a process in which different modes of an optical resonator establish stable synchronization through nonlinear interactions.
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Computational super-resolution phase retrieval from multiple phase-coded diffraction patterns: simulation study and experiments

Vladimir Katkovnik, +3 more
TL;DR: Both simulation tests and experiments demonstrate good-quality imaging for super-resolution with a factor of 4 and a serious advantage over diffraction-limited resolution as defined by Abbe’s criterion.
Book

Digital Holography and Wavefront Sensing: Principles, Techniques and Applications

Ulf Schnars, +3 more
TL;DR: In this article, the principles and major applications of digital hologram recording and numerical reconstruction (Digital Holography) are discussed. And a special chapter is designated to digital holographic interferometry with applications in deformation and shape measurement and refractive index determination.
References
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Principles of Optics

Max Born, +1 more
TL;DR: In this article, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.
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Introduction to Fourier Optics

Joseph W. Goodman, +1 more
- 01 Apr 1969 - 
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
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An algorithm for the machine calculation of complex Fourier series

J.W. Cooley, +1 more
- 01 Apr 1965 - 
TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
Journal ArticleDOI

Phase retrieval algorithms: a comparison.

James R. Fienup
- 01 Aug 1982 - 
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 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.