## 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

Full Article | PDF Article**OSA Recommended Articles**

Geovanni Hernández-Gómez, Daniel Malacara-Doblado, Zacarías Malacara-Hernández, and Daniel Malacara-Hernández

Appl. Opt. **53**(31) 7422-7434 (2014)

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)

Didia Patricia Salas-Peimbert, Daniel Malacara-Doblado, Victor Manuel Durán-Ramírez, Gerardo Trujillo-Schiaffino, and Daniel Malacara-Hernández

Appl. Opt. **44**(20) 4228-4238 (2005)