The Open Optics Journal

2007, 1 : 1-3
Published online 2007 November 27. DOI: 10.2174/1874328500701010001
Publisher ID: TOOPTSJ-1-1

Wavefront Reconstruction from Slope Data Within Pupils of Arbitrary Shapes Using Iterative Fourier Transform

Guang-Ming Dai
AMO Laser Vision Correction Group, 3400 Central Expressway, Santa Clara, CA 95051, USA.

ABSTRACT

This letter presents a new modal technique that reconstructs a wavefront using iterative Fourier transforms and converts the Fourier coefficients as needed to and from the coefficients of the orthonormal basis set over pupils of arbitrary shapes. It is shown that, for wavefront slope data, modal reconstruction with Fourier series using an iterative algorithm is faster and more accurate than when an orthonormal basis set is used. Elliptical, annular, hexagonal, and irregular pupils are considered as practical examples to illustrate the results.