Abstract

Instead of measuring the wavefront deformations, Hartmann and Shack–Hartmann tests, we measure the wavefront slopes, which are equivalent to the ray transverse aberrations. Numerous different integration methods have been described in the literature to obtain the wavefront deformations from these measurements. Basically, they can be classified in two different categories, i.e., modal and zonal. In this paper, we describe a proposed new zonal procedure. This method finds a different analytical expression for each square cell formed by four sampling points in the pupil of the system. In this manner, a full single analytical expression for the wavefront is not obtained. The advantage is that small localized errors that cannot be adjusted by a single polynomial function can be represented with this method. A second advantage is that the analytical function for each cell is obtained in an exact manner, without the errors in a trapezoidal integration.

© 2017 Optical Society of America

Modal integration of Hartmann and Shack–Hartmann patterns

Geovanni Hernández-Gómez, Zacarías Malacara-Hernández, Daniel Malacara-Doblado, Rufino Díaz-Uribe, and Daniel Malacara-Hernández
J. Opt. Soc. Am. A 31(4) 846-851 (2014)

Modal processing of Hartmann and Shack–Hartmann patterns by means of a least squares fitting of the transverse aberrations

Geovanni Hernández-Gómez, Daniel Malacara-Doblado, Zacarías Malacara-Hernández, and Daniel Malacara-Hernández
Appl. Opt. 53(31) 7422-7434 (2014)

Zonal integration of circular Hartmann and Placido patterns with non-rotationally symmetric aberrations

Daniel Gómez-Tejada, Zacarías Malacara-Hernández, Daniel Malacara-Doblado, and Daniel Malacara-Hernández
J. Opt. Soc. Am. A 37(8) 1381-1389 (2020)

Least-squares fitting of Hartmann or Shack–Hartmann data with a circular array of sampling points

Zacarías Malacara-Hernández, Daniel Malacara-Doblado, and Daniel Malacara-Hernández
Appl. Opt. 54(28) E113-E122 (2015)

Improvement in error propagation in the Shack–Hartmann-type zonal wavefront sensors

Biswajit Pathak and Bosanta R. Boruah
J. Opt. Soc. Am. A 34(12) 2194-2202 (2017)