Deflectometry using a Hartmann screen to measure tilt, decentering and focus errors in a spherical surface

Among the various techniques that can be used to assess the quality of optical surfaces, deflectometry evaluates the reflection experienced by rays impinging on a surface whose topography is under study. We propose the use of a screen spatial filter to select rays from a light source. The screen must be placed at a distance shorter than the radius of curvature of the surface under study. The location of the screen depends on the exit pupil of the system and the caustic area. The reflected rays are measured using an observation plane/screen/CCD located beyond the point of convergence of the rays. To implement an experimental design of the proposed technique and determine the topography of the surface under study, it is necessary to measure tilt, decentering and focus errors caused by mechanical misalignment, which could influence the results of this technique but are not related to the quality of the surface. The aim of this study is to analyze an ideal spherical surface with known radius of curvature to identify the variations introduced by such misalignment errors.