Journal ArticleDOI
Modal wave-front estimation from phase derivative measurements
TLDR
In this paper, it is shown that it is desirable to minimize the number of modes estimated and the amount of measurements used to maintain the quality of the estimates of low-order modes, and that cross coupling occurs when one tries to estimate modes higher than astigmatism.Abstract:
Modal estimation of wave-front phase from phase derivatives is discussed. It is shown that it is desirable to minimize the number of modes estimated and the number of measurements used to maintain the quality of the estimates of low-order modes. It is also shown that mode cross coupling occurs when one tries to estimate modes higher than astigmatism.read more
Citations
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Journal ArticleDOI
Objective measurement of wave aberrations of the human eye with the use of a Hartmann-Shack wave-front sensor
TL;DR: It is shown that with this method, using a Hartmann-Shack wave-front sensor, one can obtain a fast, precise, and objective measurement of the aberrations of the eye.
Journal ArticleDOI
Wave-front estimation from wave-front slope measurements
TL;DR: In this paper, the problem of wavefront estimation from wave-front slope measurements has been examined from a least-squares curve fitting model point of view, and a new zonal phase gradient model is introduced and its error propagator, which relates the mean square wavefront error to the noisy slope measurements, has been compared with two previously used models.
Journal ArticleDOI
Wave-front interpretation with Zernike polynomials
Jon Y. Wang,D. E. Silva +1 more
TL;DR: Contrary to the traditional understanding, the classical least-squares method of determining the Zernike coefficients from a sampled wave front with measurement noise has been found numerically stable.
Journal ArticleDOI
Analysis of the performance of the Hartmann–Shack sensor in the human eye
TL;DR: An analysis of the accuracy and limitations of the sensor using experimental results and computer simulations and compared the ocular modulation transfer function obtained from simultaneously recorded double-pass and Hartmann-Shack images.
Journal ArticleDOI
Monochromatic aberrations in the accommodated human eye.
TL;DR: While spherical aberration always decreased with increasing accommodation, it did not change from positive to negative for every observer, and the direction and amount of change in fourth order aberrations varied between observers.
References
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Journal ArticleDOI
Zernike polynomials and atmospheric turbulence
TL;DR: 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.
Journal ArticleDOI
Least-square fitting a wave-front distortion estimate to an array of phase-difference measurements
TL;DR: In this article, the problem of fitting a wavefront distortion estimate to a (single-instant) set of phase-difference measurements has been formulated as an unweighted least-square problem.
Journal ArticleDOI
Use of an ac heterodyne lateral shear interferometer with real-time wavefront correction systems.
TL;DR: An analysis shows that for uniform circular or square sources larger than a derived minimum size, the wavefront measurement accuracy depends only upon the radiance of the source and not upon the angular subtense of the sources.
Journal ArticleDOI
Modal compensation of atmospheric turbulence phase distortion
J. Y. Wang,J. K. Markey +1 more
TL;DR: In this article, a new method of evaluating the MTF of a Kolmogorov turbulence phase aberration Zernike modal compensating system using an approximation of the correlation of the residual phase aberrations and the compensating phase distribution is described.
Journal ArticleDOI
Method for Evaluating Lateral Shearing Interferograms
TL;DR: A method is described that uses data obtained from two lateral shear interferograms sheared in orthogonal directions to describe a wavefront of any arbitrary shape using a least squares criterion to match the measured data to the reconstructed shear data.