Equations to estimate the wavefront surface in the Hartmann test for lenses: comparison between two wavefront estimations when the Hartmann screen is close to the test lens

Abstract

When testing lenses with Hartmann methods, a wave aberration function W is typically estimated. This W represents the deviations of the wavefront surface w with respect to an ideal wavefront E. In this test, the distance r from the observation screen to the second lens surface is considered, and, as in the case of W, by considering paraxial approximations, two estimations of w can be directly constructed from Hartmann test data without calculating W. We have compared these two estimations by taking into account small r values; a possible and suitable condition to measure some relatively high-power lenses. The importance of estimating w can be useful for improving some optical measurements as power map reconstructions.