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Journal ArticleDOI

Digital holography as part of diffractive optics

Frank Wyrowski, +1 more
- 01 Dec 1991 - 
- Vol. 54, Iss: 12, pp 1481-1571
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TLDR
In this paper, the inverse problem of how to proceed from the desired wavefield in space to the design of a diffractive element that is able to form this field is treated by considering various approximations that define digital holography as a subset of diffractive optics.
Abstract
An essential aspect of digital diffractive optics is the inverse problem of how to proceed from the desired wavefield in space to the design of a diffractive element that is able to form this field. This subject is treated by considering various approximations that define digital holography as a subset of diffractive optics. Analysis and models of inverse wave propagation are presented for boundary conditions determined by the type of material, the fabrication technique and the application. Coding theory is a central topic in the examination of this situation. Coding methods and the prediction of the efficiency of the diffraction are discussed. Nonlinear methods are used to treat the optimization problems. It is shown how diffractive elements can be designed by applying iterative and non-iterative methods. Diffractive elements of different kinds are presented and illustrated. The model examined seems to be of value in treating various ingredients of digital diffractive optics.

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Citations
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Journal ArticleDOI

Encoding amplitude information onto phase-only filters

TL;DR: A new, to the knowledge, technique for encoding amplitude information onto a phase-only filter with a single liquid-crystal spatial light modulator, effectively allowing for amplitude modulation of either the first-order or the zero-order diffracted light.
Journal ArticleDOI

Spatial and spectral light shaping with metamaterials.

TL;DR: Plasmonic metamaterials exhibit strong and tunable dispersion, as a result of their pronounced resonances, which is used to construct an ultrathin light-shaping element that produces different waves at two distinct wavelengths in the near IR range.
Journal ArticleDOI

Boundary integral methods applied to the analysis of diffractive optical elements

TL;DR: In this paper, boundary integral analysis is applied to the analysis of diffraction from both conductive and dielectric diffractive optical elements, and the boundary element method is used to solve the boundary integral equations and validate its implementation by comparing with analytical solutions.
PatentDOI

Three-dimensional scanless holographic optogenetics with temporal focusing

TL;DR: A new multiphoton photo-excitation method, termed three-dimensional scanless holographic optogenetics with temporal focusing (3D-SHOT), which allows precise, simultaneous photo-activation of arbitrary sets of neurons anywhere within the addressable volume of a microscope.
Journal ArticleDOI

Quantitative prediction of the modulation behavior of twisted nematic liquid crystal displays based on a simple physical model

TL;DR: In this article, a method to perform a predictive search for a given amplitude and phase modulation response in twisted nematic liquid crystal displays is presented, based on a simple physical model that considers the effect of liquid-crystal layers located in the vicinity of the edges, which are not able to tilt.
References
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Journal ArticleDOI

Coupled wave theory for thick hologram gratings

TL;DR: In this paper, a coupled wave analysis of the Bragg diffraction of light by thick hologram gratings is given, analogous to Phariseau's treatment of acoustic gratings and to the dynamical theory of X-ray diffraction.
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.
Book

Simulated Annealing: Theory and Applications

TL;DR: Performance of the simulated annealing algorithm and the relation with statistical physics and asymptotic convergence results are presented.