Frequency spectra for the geometric representation of wavefront distortions due to atmospheric turbulence

Hogge, C. B.; Butts, Robert Russell

doi:10.1109/tap.1976.1141310

Cited by 79 publications

(21 citation statements)

References 7 publications

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“…(9) with the following values ascribed to the parameters: aperture diameter D measures 26 cm, Fried parameter r 0 10 cm, and wind velocity V on the x-axis 10 m/s. The temporal power spectrum of the angle of arrival shows a ν −2/3 power law in the low frequency domain, while in the high frequency domain, the spectrum decreases as ν −11/3 (Hogge & Butts 1976;Martin 1987;Conan et al 1995). A power law in ν −17/3 is mentioned for the tilt by Roddier et al (1993) and Conan (1994) and it concerns the phase component on Zernike modes z1 and z2.…”

Section: Quad Cell Measurement Noisementioning

confidence: 98%

Performance of the angle of arrival correction system of the I2T + ASSI stellar interferometer

Robbe

Sorrente

Cassaing

et al. 1997

Astron. Astrophys. Suppl. Ser.

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Section: Quad Cell Measurement Noisementioning

confidence: 98%

Performance of the angle of arrival correction system of the I2T + ASSI stellar interferometer

Robbe

Sorrente

Cassaing

et al. 1997

Astron. Astrophys. Suppl. Ser.

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“…For the sake of having a closed-form expression, we replace the tip-tilt power spectrum for the subaperture with the power spectrum ⌽͑͒ for the phase difference between two points separated by the subaperture diameter A. This form has the correct total power but somewhat overestimates the highfrequency contribution, a conservative assumption; the exact form falls off as Ϫ11͞3 at high frequencies [8]:…”

Section: Wavefront Evolutionmentioning

confidence: 99%

Adaptive optics performance model for optical interferometry

Mozurkewich

Restaino

Gilbreath

2004

New Frontiers in Stellar Interferometry

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The optical interferometry community has discussed the possibility of using adaptive optics (AO) on apertures much larger than the atmospheric coherence length in order to increase the sensitivity of an interferometer, although few quantitative models have been investigated. The aim of this paper is to develop an analytic model of an AO-equipped interferometer and to use it to quantify, in relative terms, the gains that may be achieved over an interferometer equipped only with tip-tilt correction. Functional forms are derived for wavefront errors as a function of spatial and temporal coherence scales and flux and applied to the AO and tip-tilt cases. In both cases, the AO and fringe detection systems operate in the same spectral region, with the sharing ratio and subaperture size as adjustable parameters, and with the interferometer beams assumed to be spatially filtered after wavefront correction. It is concluded that the use of AO improves the performance of the interferometer in three ways. First, at the optimal aperture size for a tip-tilt system, the AO system is as much as ϳ50% more sensitive. Second, the sensitivity of the AO system continues to improve with increasing aperture size. And third, the signalto-noise ratio of low-visibility fringes in the bright-star limit is significantly improved over the tip-tilt case.

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“…A similar approach has been used in tilt spectra associated with a point source (spherical wave analysis). These analysis lead to integral expressions which must also be evaluated numerically (Hogve and Butts 30 and Butts 3 I).…”

Section: Power Spectral Densitymentioning

confidence: 99%

A Unified Approach to Electromagnetic Wave Propagation in Turbulence and the Evaluation of Multiparameter Integrals

Sasiela¹

1988

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Frequency spectra for the geometric representation of wavefront distortions due to atmospheric turbulence

Cited by 79 publications

References 7 publications

Performance of the angle of arrival correction system of the I2T + ASSI stellar interferometer

Performance of the angle of arrival correction system of the I2T + ASSI stellar interferometer

Adaptive optics performance model for optical interferometry

A Unified Approach to Electromagnetic Wave Propagation in Turbulence and the Evaluation of Multiparameter Integrals

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