Abstract

A practical method for determining wavefront aberrations in optical systems based on the acquisition of an extended, unknown object is presented. The approach utilizes a conventional phase diversity approach in combination with a pupil-engineered, helical point spread function (PSF) to discriminate the aberrated PSF from the object features. The analysis of the image’s power cepstrum enables an efficient retrieval of the aberration coefficients by solving a simple linear system of equations. An extensive Monte Carlo simulation is performed to demonstrate that the approach makes it possible to measure low-order Zernike modes including defocus, primary astigmatism, coma, and trefoil. The presented approach is tested experimentally by retrieving the two-dimensional aberration distribution of a test setup by imaging an extended, unknown scene.

© 2020 Optical Society of America

High-order-helix point spread functions for monocular three-dimensional imaging with superior aberration robustness

René Berlich and Sjoerd Stallinga
Opt. Express 26(4) 4873-4891 (2018)

Single shot three-dimensional imaging using an engineered point spread function

René Berlich, Andreas Bräuer, and Sjoerd Stallinga
Opt. Express 24(6) 5946-5960 (2016)

Parametric wave-aberration retrieval from point-spread function data by use of a pyramidal recursive algorithm

Ignacio Iglesias
Appl. Opt. 37(23) 5427-5430 (1998)

Phase retrieval based on the vectorial model of point spread function

Nguyen Hieu Thao, Oleg Soloviev, and Michel Verhaegen
J. Opt. Soc. Am. A 37(1) 16-26 (2020)

Retrieval of wave aberration from point spread function or optical transfer function data

Junji Maeda and Kazumi Murata
Appl. Opt. 20(2) 274-279 (1981)