Profile and deformation coefficients measurement of fast optical surfaces

In this work we show a method to obtain the profile of fast optical surfaces with symmetry of revolution, starting from experimental measurements of the longitudinal aberration and the angle between each normal line to the test surface and their optical axis. The method is based on a numerical and recursive integration, applied to a set of experimental measurements, the method gives a set of points on the test surface in orthogonal coordinates, from which we can determine the form of the surface, in independent way of a particular mathematical model that describes it. With its information is possible to adjust a polynomial to determine the paraxial radius curvature and the deformation coefficients. The method was applied to two surfaces and the results are compared with those obtained by a contact method, finding differences of some tenths of millimeter.