Novel estimator for the aberrations of a space telescope by phase diversity

Amandine Blanc; Jerome Idier; Laurent M. Mugnier

doi:10.1117/12.394008

28 July 2000 Novel estimator for the aberrations of a space telescope by phase diversity

Amandine Blanc, Jerome Idier, Laurent M. Mugnier

Proceedings Volume 4013, UV, Optical, and IR Space Telescopes and Instruments; (2000) https://doi.org/10.1117/12.394008
Event: Astronomical Telescopes and Instrumentation, 2000, Munich, Germany

Abstract

In this communication, we propose a novel method for estimating the aberrations of a space telescope from phase diversity data. The images recorded by such a telescope can be degraded by optical aberrations due to design, fabrication or misalignments. Phase diversity is a technique that allows the estimation of aberrations. The only estimator found in the relevant literature is based on a joint estimation of the aberrated phase and the observed object. By means of simulations, we study the behavior of this estimator. We propose a novel marginal estimator of the sole phase by Maximum Likelihood. It is obtained by integrating the observed object out of the problem; indeed, this object is a nuisance parameter in our problem. This reduces drastically the number of unknown and provides better asymptotic properties. This estimator is implemented and its properties are validated by simulation. Its performance is equal or even better than that of the joint estimator for the same computing cost.

Citation Download Citation

Amandine Blanc, Jerome Idier, and Laurent M. Mugnier "Novel estimator for the aberrations of a space telescope by phase diversity", Proc. SPIE 4013, UV, Optical, and IR Space Telescopes and Instruments, (28 July 2000); https://doi.org/10.1117/12.394008

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