Wavefront reconstruction error of Shack-Hartmann wavefront sensors

Takato, Naruhisa; Iye, Masanori; Yamaguchi, Ichirou

doi:10.1086/133367

Cited by 15 publications

(8 citation statements)

References 9 publications

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“…The distance between two adjacent intersection points corresponds to 5.2 mm in real space on the telescope's aperture plane. It should be mentioned that compared to the Shack-Hartmann wavefront sensor, the maximum number of correctable terms for modal compensation can be about 1/5 of the intersection points [24]. The displacement vectors of the intersection points were calculated with respect to their mean positions.…”

Section: Experimental Workmentioning

confidence: 99%

Measurement and statistical analysis of the wavefront distortions induced by atmospheric turbulence using two-channel moiré deflectometry

Dashti

Rasouli

2012

J. Opt.

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Recently, an adjustable, high-sensitivity, wide dynamic range, two-channel wavefront sensor based on moiré deflectometry was proposed by Rasouli et al (2010 Opt. Express 18 23906). In this work we have used this sensor on a telescope for measuring turbulence-induced wavefront distortions. A slightly divergent laser beam passes through turbulent ground level atmosphere and enters the telescope's aperture. The laser beam is collimated behind the telescope's focal point by means of a collimator and the beam enters the wavefront sensor. First, from deviations in the moiré fringes we calculate the two orthogonal components of the angle of arrival at each location across the wavefront. The deviations have been deduced in successive frames which allows evolution of the wavefront shape and Fried's seeing parameter r 0 to be determined. Mainly, statistical analysis of the reconstructed wavefront distortions are presented. The achieved accuracy in the measurements and comparison between the measurements and the theoretical models are presented. Owing to the use of the sensor on a telescope, and using sub-pixel accuracy for the measurement of the moiré fringe displacements, the sensitivity of the measurements is improved by more than one order of magnitude. In this work we have achieved a minimum measurable angle of arrival fluctuations equal to 3.7 × 10 −7 rad or 0.07 arc s. Besides, because of the large area of the telescope's aperture, a high spatial resolution is achieved in detecting the spatial perturbations of the atmospheric turbulence.

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Section: Experimental Workmentioning

confidence: 99%

Measurement and statistical analysis of the wavefront distortions induced by atmospheric turbulence using two-channel moiré deflectometry

Dashti

Rasouli

2012

J. Opt.

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“…In fact in the lab only the first 120 FF modes were used since these cover most of the turbulence 'seen' by the SH (see for instance Ref. 7). …”

Section: Interaction Matrixmentioning

confidence: 99%

MMT-AO: two years of operation with the first adaptive secondary

Brusa

Miller

Kenworthy

et al. 2004

Advancements in Adaptive Optics

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The Multiple Mirror Telescope (MMT) adaptive optics system (MMT-AO) has been operated in a campaign mode for the last two years. In total seven runs, each lasting about two weeks, have been carried out. During these observational runs a large amount of data have been collected. These data allow us to draw some preliminary conclusions about the overall system performances. In this paper we discuss in detail the achieved performances of the MMT-AO system which is equipped with the first adaptive secondary ever developed. The performances are examined both in terms of number of corrected modes and control bandwidth achieved. We also discuss our attempts to improve the system calibration. This is done by modulating the internal slope offsets while the system is operating in closed loop on the sky.

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“…The expectation value of the exponential in equation 2 can be written: fdai Jda2J da3... prob(ai, a2, a3,...) x exp a[Z(') -Z(' + )J} (5) Here the probability density function prob(ai, a2, .) is that of a multivariate Gaussian.…”

Section: The Psf For Modal Aomentioning

confidence: 99%

<title>Theoretical point-spread function for modal adaptive optics</title>

Wilson

Jenkins

1994

Adaptive Optics in Astronomy

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We describe an analytic model for the point spread function in astronomical imaging through atmospheric turbulence with modal adaptive correction. The model includes the effects of seeing quality, degree of modal correction, angular anisoplanaticism, and wavefront sensor noise. Anisoplanatic CIIeCLS are contrasted for cases where the correcting mirror is conjugate with the telescope r)tIPil and vi1Ii the atiriospheric Itirbnleiicc. r[Ii. ProI)erli('s of the J)OitIi SI)rea(l function are described in terms of its shape, Strehi ratio, and included energy widths.

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Wavefront reconstruction error of Shack-Hartmann wavefront sensors

Cited by 15 publications

References 9 publications

Measurement and statistical analysis of the wavefront distortions induced by atmospheric turbulence using two-channel moiré deflectometry

Measurement and statistical analysis of the wavefront distortions induced by atmospheric turbulence using two-channel moiré deflectometry

MMT-AO: two years of operation with the first adaptive secondary

<title>Theoretical point-spread function for modal adaptive optics</title>

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