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Journal ArticleDOI

Zernike polynomials and atmospheric turbulence

Robert J. Noll
- 01 Mar 1976 - 
- Vol. 66, Iss: 3, pp 207-211
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TLDR
In this paper, a Zernike representation of the Kolmogoroff spectrum of turbulence is given that provides a complete analytical description of the number of independent corrections required in a wave-front compensation system.
Abstract
This paper discusses some general properties of Zernike polynomials, such as their Fourier transforms, integral representations, and derivatives. A Zernike representation of the Kolmogoroff spectrum of turbulence is given that provides a complete analytical description of the number of independent corrections required in a wave-front compensation system.

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Optical communications using orbital angular momentum beams

TL;DR: In this article, the authors review recent progress in OAM beam generation/detection, multiplexing/demultiplexing, and its potential applications in different scenarios including free-space optical communications, fiber-optic communications, and RF communications.
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Monochromatic aberrations of the human eye in a large population.

TL;DR: In this paper, a modified Hartmann-Shack wavefront sensor was used to measure the monochromatic wave aberration of both eyes for 109 normal human subjects across a 5.7mm pupil.
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Solar Image Restoration By Use Of Multi-frame Blind De-convolution With Multiple Objects And Phase Diversity

TL;DR: In this paper, an extension of Joint Phase Diverse Speckle image restoration is presented, where multiple realizations of multiple objects having known wavefront relations with each other can now be restored jointly.
Journal ArticleDOI

Pattern recognition with moment invariants: a comparative study and new results

TL;DR: The authors show that the new method of deriving Zernike moment invariants along with the new normalization scheme yield the best overall performance even when the data are degraded by additive noise.
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Contribution of the cornea and internal surfaces to the change of ocular aberrations with age

TL;DR: The results suggest that the degradation of the ocular optics with age can be explained largely by the loss of the balance between the aberrations of the corneal and the internal surfaces.
References
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Journal ArticleDOI

Statistics of a Geometric Representation of Wavefront Distortion

TL;DR: In this paper, a statistical definition for the geometric shape of a randomly distorted wavefront was established and relationships between the phase-structure function and the statistics governing the shape were derived.
Journal ArticleDOI

Phase compensation for thermal blooming.

TL;DR: Appropriate correction of the initial phase of a laser beam is shown by numerical computation to be capable of appreciably reducing thermal blooming for a cw beam.