PatentDOI
Geometrical transformations in optics
TLDR
In this paper, the authors introduce phase filters having a predetermined phase function into optical coherent systems in such a manner that the local phase variations influence light from local object areas, where the object distribution is multiplied by the phase function so that its spectrum at the frequency plane constitutes the desired transformation.Abstract:
Geometrical image modifications such as coordinate transformations and local translation, inversion, reflection, stretching which require space-variant optical coherent systems are provided by introducing phase filters having a predetermined phase function into optical coherent systems in such a manner that the local phase variations influence light from local object areas. In one embodiment, the object distribution is multiplied by the phase function so that its spectrum at the frequency plane constitutes the desired transformation. In a second embodiment, the aforementioned concept is applied to produce a transformation in an image plane. The phase filters, in a preferred embodiment, comprise computer generated holograms.read more
Citations
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Journal ArticleDOI
Orbital angular momentum: origins, behavior and applications
Alison M. Yao,Miles J. Padgett +1 more
TL;DR: In this paper, it was shown that if every polarization vector rotates, the light has spin; if the phase structure rotates and if a light has orbital angular momentum (OAM), the light can be many times greater than the spin.
Journal ArticleDOI
Position, rotation, and scale invariant optical correlation
TL;DR: A new optical transformation that combines geometrical coordinate transformations with the conventional optical Fourier transform is described, which is invariant to both scale and rotational changes in the input object or function.
Journal ArticleDOI
Efficient separation of the orbital angular momentum eigenstates of light
Mohammad Mirhosseini,Mehul Malik,Mehul Malik,Zhimin Shi,Zhimin Shi,Robert W. Boyd,Robert W. Boyd +6 more
TL;DR: In this article, Mirhosseini et al. demonstrate a scheme that is able to separate photons with different orbital angular angular momentum with 92% efficiency, which has the potential to increase data rates and enhance security in quantum optical communications.
Journal ArticleDOI
The Wigner distribution function applied to optical signals and systems
TL;DR: In this article, the Wigner distribution function of an optical signal appears to be in close resemblance to the ray concept in geometrical optics, and this resemblance reaches even farther: although derived from Fourier optics, the WIGNer distribution functions of some elementary optical systems can directly be interpreted in terms of geometry.
Journal ArticleDOI
Application of the Wigner distribution function to partially coherent light
TL;DR: In this paper, a review of the Wigner distribution function and some of its applications to optical problems, especially in the field of partial coherence, is presented, which can be interpreted directly in geometric-optical terms.
References
More filters
Journal ArticleDOI
Binary Fraunhofer Holograms, Generated by Computer
Adolf W. Lohmann,D. P. Paris +1 more
TL;DR: A theory for binary holograms is developed that is equivalent in terms of image reconstruction with ordinary holograms, proven theoretically and verified experimentally.
Journal ArticleDOI
The kinoform: a new wavefront reconstruction device
TL;DR: A new, computer-generated, optical element called a kinoform that operates only on the phase of an incident wave and forms a single image by wavefront reconstruction without the unwanted diffraction orders characteristic of holograms is described.
Journal ArticleDOI
Binary Synthetic Holograms
TL;DR: The positions and width of the fringes in a binary synthetic hologram are determined by the points at (x,y) that satisfy -q/2, where q is a constant determining the fringe width.
Journal ArticleDOI
Applications of Digital Image Processing
TL;DR: Results of digital image processing techniques developed at JPL have been applied to images from a wide range of disciplines and the system considerations involved in adequately and efficiently doing image processing are discussed briefly.
Journal ArticleDOI
Optical map transformations
TL;DR: An optical technique for performing general types of map transformations is introduced using a coherent system, where the object distribution is multiplied by a phase function so that its frequency spectrum constitutes the transformation as discussed by the authors.