Phase diversity experimental results: deconvolution of ν Scorpii

Carreras, Richard A.; Restaino, Sergio R.; Love, Gordon D.; Tarr, Gregory L.; Fender, Janet S.

doi:10.1016/0030-4018(96)00212-x

Cited by 5 publications

(4 citation statements)

References 7 publications

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“…While phase aberrations can be recovered from extended sources with the full imaging model Eq. (3.40) (see [25,52,70,78,96,97,98,121,124,123,110]) they are most often (and more reliably) recovered from images of point sources φ 2 = δ. In this case…”

Section: Phase Retrievalmentioning

confidence: 99%

“…Since the introduction of the Gerchberg-Saxton algorithm numerous variations have been studied [17,33,113,38,45,47,74,80,87,90,99,129,5,92,51,26]. The success of these algorithms on the HST together with techniques for simultaneous phase retrieval and deconvolution developed for use with land-based astronomical observations [25,52,70,78,96,97,98,121,124,123,110] has lead to the development of software that, in conjunction with simple optical systems, can achieve the same resolution as complicated, expensive and error-prone optical systems [79,100,101,76,75,72].…”

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confidence: 99%

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Optical Wavefront Reconstruction: Theory and Numerical Methods

Lüke¹,

Burke²,

Lyon³

2002

SIAM Rev.

166

206

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Optical wavefront reconstruction algorithms played a central role in the effort to identify gross manufacturing errors in NASA's Hubble Space Telescope (HST). NASA's success with reconstruction algorithms on the HST has lead to an effort to develop software that can aid and in some cases replace complicated, expensive and error-prone hardware. Among the many applications is HST's replacement, the Next Generation Space Telescope (NGST).This work details the theory of optical wavefront reconstruction, reviews some numerical methods for this problem, and presents a novel numerical technique which we call extended least squares. We compare the performance of these numerical methods for potential inclusion in prototype NGST optical wavefront reconstruction software. We begin with a tutorial of Rayleigh-Sommerfeld diffraction theory.

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Section: Phase Retrievalmentioning

confidence: 99%

mentioning

confidence: 99%

Optical Wavefront Reconstruction: Theory and Numerical Methods

Lüke¹,

Burke²,

Lyon³

2002

SIAM Rev.

166

206

View full text Add to dashboard Cite

show abstract

“…The defocus amplitude for the second observation plane is 2 rad, as proposed by many authors. 7,10,12,13,34,35 The monochromatic images are sampled according to the Shannon criterion.…”

Section: A Image Simulationmentioning

confidence: 99%

Noise propagation in wave-front sensing with phase diversity

et al. 1999

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The phase diversity technique is studied as a wave-front sensor to be implemented with widely extended sources. The wave-front phase expanded on the Zernike polynomials is estimated from a pair of images (in focus and out of focus) by use of a maximum-likelihood approach. The propagation of the photon noise in the images on the estimated phase is derived from a theoretical analysis. The covariance matrix of the phase estimator is calculated, and the optimal distance between the observation planes that minimizes the noise propagation is determined. The phase error is inversely proportional to the number of photons in the images. The noise variance on the Zernike polynomials increases with the order of the polynomial. These results are confirmed with both numerical and experimental validations. The influence of the spectral bandwidth on the phase estimator is also studied with simulations.

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“…PD technique has been extensively investigated by many foreign [4,5] and domestic [6,7] institutions. In 1996 Carreras applied the PD technique to the Beam Directional Telescope and successfully recovered a clear image of the double star μ Scorpio with an angular separation of 1.1″ [8] . The PD technique can be applied not only to single aperture telescopes, but also to synthetic aperture telescopes in co-phase [9] .…”

Section: Introductionmentioning

confidence: 99%

A fast non-local means algorithm for phase diversity technique to reconstruct high-resolution multi-aperture images

Zhang,

Zhao,

Yang

et al. 2023

Advanced Optical Imaging Technologies VI

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Phase diversity technique (PD) can jointly estimate the wavefront aberration and the target image of an optical imaging system. The PD technique reconstructs images by acquiring a focal plane image of optical system and one or more images with known aberrations (often selected defocus). Due to the simple construction of the optical system, the ability to detect discontinuous co-phase errors, and its applicability to both point sources and extended targets, The PD technique is uniquely suited for spatial target imaging applications, especially for the detection of multi-aperture piston errors. However, in a spatially low-illumination environment, Poisson noise as the main noise source of the imaging system seriously affects the accuracy of the reconstructed images. In this paper, we propose a method of phase diversity technique based on a fast Non-local Means (NLM) algorithm for reconstructing single-aperture images or multi-aperture images. For the two cases of single-aperture imaging and multi-aperture imaging with piston errors in spatial low illumination conditions, the method is used to solve the sensitivity problem of Poisson noise during image reconstruction. Numerical simulation results show that our method has significant improvement in structural similarity of the recovered images compared with the traditional phase diversity technique, and also is faster than the common non-local mean algorithm. The combination of this fast non-local means algorithm which using integral images and the phase diversity technique greatly reduce the computation time. The field experimental results and simulation results show good agreement. The new method would be useful in the AO system with active Poisson noise.

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Phase diversity experimental results: deconvolution of ν Scorpii

Cited by 5 publications

References 7 publications

Optical Wavefront Reconstruction: Theory and Numerical Methods

Optical Wavefront Reconstruction: Theory and Numerical Methods

Noise propagation in wave-front sensing with phase diversity

A fast non-local means algorithm for phase diversity technique to reconstruct high-resolution multi-aperture images

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