Moment-based wavefront reconstruction via a defocused Shack–Hartmann sensor

Fan Feng; Changwei Li; Sijiong Zhang

doi:10.1117/1.OE.57.7.074106

20 July 2018 Moment-based wavefront reconstruction via a defocused Shack–Hartmann sensor

Fan Feng, Changwei Li, Sijiong Zhang

Author Affiliations +

Optical Engineering, Vol. 57, Issue 7, 074106 (July 2018). https://doi.org/10.1117/1.OE.57.7.074106

Abstract

An approach for wavefront reconstruction based on a defocused Shark–Hartmann sensor is proposed. In this approach, not only the first-order origin moment (local slope of the input wavefront) but also the second-order central moment (local curvature of the input wavefront) of each spot in the intensity pattern is used to reconstruct the input wavefront. By introducing the second-order moment, an improvement of reconstruction accuracy can be obtained. As the ambiguity of the sense of the local curvature of the input wavefront exists in the scheme of the conventional Shack–Hartmann sensor in focus, a defocusing scheme is adopted to solve this problem. Based on modal and zonal methods, respectively, the corresponding algorithms are invoked to reconstruct the wavefront from the map consisted of both local slopes and curvatures. Numerical experiments show that the reconstructed wavefront by the proposed method is more accurate, in comparison to the result by the conventional method. It should be mentioned that the defocused sensor used in the proposed method sacrifices, to some extent, the dynamic range of measurement.

Citation Download Citation

Fan Feng, Changwei Li, and Sijiong Zhang "Moment-based wavefront reconstruction via a defocused Shack–Hartmann sensor," Optical Engineering 57(7), 074106 (20 July 2018). https://doi.org/10.1117/1.OE.57.7.074106

Received: 12 April 2018; Accepted: 27 June 2018; Published: 20 July 2018

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available