The measurement of astigmatic lenses, optical surfaces or wavefronts are a highly studied problem and many different instruments have been commercially fabricated to perform this task. Many of them use a Hartmann arrangement to obtain the result. In this paper, we analyze with detail the algorithms that can be used to make the necessary calculations and propose several alternatives with different advantages and disadvantages. Different mathematical algorithms that are involved in the calculation process have been given whereas any description of the instrument itself is not proposed, but only the different mathematical algorithms that are involved in the calculation process.
© 2014 Optical Society of America
Instrumentation, Measurement, and Metrology
Original Manuscript: November 20, 2013
Revised Manuscript: January 15, 2014
Manuscript Accepted: January 15, 2014
Published: February 20, 2014
Geovanni Hernández-Gómez, Zacarías Malacara-Hernández, and Daniel Malacara-Hernández, "Hartmann tests to measure the spherical and cylindrical curvatures and the axis orientation of astigmatic lenses or optical surfaces," Appl. Opt. 53, 1191-1199 (2014)