Statistics of a Geometric Representation of Wavefront Distortion

Fried, David L.

doi:10.1364/josa.55.001427

Cited by 713 publications

(331 citation statements)

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“…The refractive index structure function is given by equation (1.1). The Kolmogorov model of turbulence distortions prescribes the specific form of the phase structure function [4] Where, is the zenith angle of observation and  is the observational wavelength.…”

Section: Imaging Through Atmospheric Turbulencementioning

confidence: 99%

“…Over the last hundred years, modelling the effects of turbulence on optical propagation has received much attention. The focus on statistical modelling [4] has produced several useful theories. In these theories, it is necessary to resort to statistical analysis, because it is impossible to exactly describe the refractive index for all positions in space and all time.…”

Section: Generation Of Kolmogorov Model Of Atmospheric Turbulencementioning

confidence: 99%

“…The structure function for refractive index [4,6] variation of turbulent air in the Kolmogorov model is given by is the refractive index at particular coordinate x , Cn2 (h) is the vertical refractive index structure constant which is strongly altitude dependent.…”

Section: Generation Of Kolmogorov Model Of Atmospheric Turbulencementioning

confidence: 99%

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A Study on atmospheric turbulence with Shearing Interferometer wavefront sensor

Ismail¹

2015

IJIRSET

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When a light beam propagates through the turbulent atmosphere, the wavefront of the beam is distorted, which affect the image quality of ground based telescopes. Adaptive optics is a means for real time compensation of the wavefront distortions. In an adaptive optics system, wavefront distortions are measured by a wavefront sensor, and then using an active optical element such as a deformable mirror the instantaneous wavefront distortions are corrected. In this paper, the physical background of imaging through turbulence, using Kolmogorov statistics, and the Polarization Shearing Interferometry techniques to sense and to correct the wavefront aberrations with adaptive optics have been discussed. Simulations of the interferometric records were carried out using Matlab for the study of aberrations in an optical system and the effect of the atmospheric turbulence in the interferograms. The data was reduced from the interferogram using Fourier Transform Technique and the wavefront was reconstructed from the wavefront slope data.

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Section: Imaging Through Atmospheric Turbulencementioning

confidence: 99%

Section: Generation Of Kolmogorov Model Of Atmospheric Turbulencementioning

confidence: 99%

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A Study on atmospheric turbulence with Shearing Interferometer wavefront sensor

Ismail¹

2015

IJIRSET

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“…The basic assumption used in most theoretical considerations (e.g. Fried 1965;Tatarsky 1961) was that atmospheric turbulence follows the Kolmogorov theory of a fully developed 3D turbulence. Predictions made on this basis, in particular for image motion, usually give correct results and fit experimental data well (Lindegren 1980;Martin 1987;Sarazin & Roddier 1990).…”

Section: Introductionmentioning

confidence: 99%

Non-Kolmogorov features of differential image motion restored from the Multichannel Astrometric Photometer data

Lazorenko

2002

A&A

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Abstract. In this paper we present a new restoration of atmospheric turbulent parameters using published data on image motion observations with the Multichannel Astrometric Photometer. These data have been previously analyzed by Han (1989) whose estimate of the power of the phase structure function α = 1.64 was close to the 5/3 value expected for the Kolmogorov atmospheric turbulence. Investigating the temporal image motion spectrum, we show, however, that the experimental data do not follow predictions of the Kolmogorov model. The best fitting of the observed spectrum is achieved with α = 1.9−2.0, which is typical of non-classic phase distortions. The outer scale of turbulence was found to be 1800 m or longer. Expressions for the non-Kolmogorov temporal spectrum of differential image motion allowing for a finite outer scale length are given.

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“…The figure of merit which characterizes the impact of atmospheric distortion is the coherence diameter of the atmosphere, ro. This parameter becomes the effective limiting aperture which is used to calculate divergence [3]. Typically, ro will vary between 5-30 cm for zenith viewing at X=500 nm [4].…”

mentioning

confidence: 99%

A Comparison of Two Sites for the Purpose of Satellite Laser Ranging

Clement¹

1994

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Statistics of a Geometric Representation of Wavefront Distortion

Cited by 713 publications

References 1 publication

A Study on atmospheric turbulence with Shearing Interferometer wavefront sensor

A Study on atmospheric turbulence with Shearing Interferometer wavefront sensor

Non-Kolmogorov features of differential image motion restored from the Multichannel Astrometric Photometer data

A Comparison of Two Sites for the Purpose of Satellite Laser Ranging

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