Abstract

We developed a fast phase retrieval algorithm that is suitable for real-time applications such as adaptive optics. The phase retrieval model is developed by linearising the pupil function in the approximation of small aberrations and is valid for low-NA focused field. The linear model in conjunction with a particular choice for the position of the single out-of-focus measurement plane and an efficient control algorithm, significantly reduces the computation time for phase retrieval. The experimental results demonstrate the validity of the described approach for fast correction of aberrations.

Highlights

  • Applications of adaptive optics [1] (AO) are rapidly spreading in several fields outside of its initial use in astronomy

  • An effective way to reduce the computational time of the aberration retrieval problem is by identifying a single plane of measurement in the focal region which is optimal for phase retrieval

  • We have developed a linear model for a phase retrieval algorithm in the approximation of small aberrations for the case of a lower-numerical aperture (NA) focused field

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Summary

INTRODUCTION

Applications of adaptive optics [1] (AO) are rapidly spreading in several fields outside of its initial use in astronomy. The time required to estimate the aberrations is considerable longer than needed for a direct wavefront sensor This is mainly caused by the necessity to measure several out-of-focus images in order to achieve a stable and accurate estimate of the aberrations [12]. In order to obtain a real-time phase estimation based on non-linear phase retrieval, a highperformance computing system has to be employed to decrease the computational time required for the phase aberration estimation When such hardware is not available, proper approximations of the phase retrieval model and efficient control algorithms need be developed to obtain a satisfying performance on a simple hardware bench [17, 18]. In this paper we develop a linear phase retrieval model based on the approximation of small aberrations in the exit pupil function of an optical system.

LINEAIR APPROXIMATION AND PHASE INVERSE PROBLEM
CLOSED-LOOP AO RESULTS
Iterative learning control
Wavefront correction convergence
CONCLUSION

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