Five-Point Analysis of Nonlinear Holograms

Optics Communications, 1970

A nonlinear hologram may be decomposed into an infinite sum of Fresnel zone lenses. Thus a sequence of high-order diffracted images will be reconstructed. The Fourier eomponenfs of the Fresnel zone lenses may be determined graphically from the transmittance-exposure characteristic of the film. In this paper, the analysis of off-axis nonlinear holograms is presented. The spurious distortion and signal-tonoise ratio of the nonlinear hologram are also defined.

International Journal of Computational Science and Engineering, 2015

Since its conception, holography has been put to a variety of uses including data storage, security, and interferometry. However, perhaps the most popular application of holography is using the technique to make three-dimensional images [1]. This paper describes an algorithm for computationally generating holograms along with methods to fabricate the hologram. Holography has since made a jump from optics tables to computers. The phrase, "digital holography", is common place in the optics community; it describes the methods used to reconstruct holographic images from physically recorded holograms as well as the methods used to construct holograms from virtual objects using a computer. In fact we have the ability to create digital holograms from imaginary objects and then recreate the image of those objects using the same digital holograms, the entire process performed on a single computer. Computer generated holograms printed on transparencies have also been used as optical filters.

Journal of the Optical Society of America

An exact geometrical-optics theory of holography is worked out. A simple derivation of the holographic ray-tracing equations is given; it is used to determine the principal points of a hologram. The well-known paraxial conjugate equations of holography are shown to be exact relations, if the distance and the angles are measured in an appropriate manner. The intersection of all the principal rays determine the position of the aberration-free image.

SPIE Proceedings, 2003

In this work we analyze the behavior of complex information in Fresnel domain taking into account the limited capability to display complex transmittance values of current liquid crystal devices, when used as holographic displays. In order to do this analysis we compute the reconstruction of Fresnel holograms at several distances using the different parts of the complex distribution (real and imaginary parts, modulus and phase) as well as using the full complex information adjusted with a method that combines two real configurations of the devices in an adding architecture. The RMS error between the amplitude of these reconstructions and the original amplitude is used to evaluate the quality of the information displayed. The results show different behavior for the reconstructions using the different parts of the complex distribution and using the combined method of two devices. There is possible to obtain better reconstructions using two devices, which added configurations densely cover the complex plane. Simulated and experimental results are also presented.

Applied Optics, 1972

The reconstruction of a point matrix by holograms with an exponential exposure characteristic is exactly calculated in dependence on exposure parameters, geometry, and position of a point in the image field. Linear and nonlinear distortion of the reconstruction is described in terms of the signal-to-background ratio (SBR). The variation of the SBR across the image field is demonstrated for both phase holograms and exponential amplitude holograms. The results, derived for point holograms in optical memories, are also applicable to the more generalized case of holograms of diffuse objects.

Optics Letters, 2004

A method for controlling the size of amplitude and phase images reconstructed from digital holograms by the Fresnel-transform method is proposed and demonstrated. The method can provide a constant reconstruction pixel width in the reconstructed image plane, independent of the recording and reconstruction distance. The proposed method makes it possible to maintain the size of an object for a sequence of digital holograms recorded at different distances and, therefore, to subtract phase maps for an object recorded at different distances. Furthermore, the method solves the problem of superimposition in multiwavelength digital holography for color display and holographic interferometry applications.

Optics Letters, 2000

Three-dimensional holographic images of extended diffusing objects are simultaneously recorded and reconstructed by optical cross correlation in a second-order nonlinear crystal. An interaction geometry in which the phase-matched object and reference f ields propagate slightly noncollinearly is particularly convenient for producing these second-harmonic-generated holograms. 

Holography, Research and Technologies, 2011

Optics Communications, 1995

Nonlinear holographic characteristics of Agfa SE75HD plates processed with two developers were measured. To assess the effects of nonlinear recording, reconstructed holographic images of a microline test object were numerically calculated by using these characteristics. The possibility of optimizing the recording parameters was demonstrated.