TL;DR: The combination of the Ronchi test and the synchronous phase detection method provides a simple but powerful tool for aspherical surface evaluation.
Abstract: A method is proposed for measuring the wavefront aberration of a fast aspherical surface. The combination of the Ronchi test and the synchronous phase detection method provides a simple but powerful tool for aspherical surface evaluation. In a common setup for the Ronchi test, translating the Ronchi ruling sideways causes the irradiance of the Ronchigram to vary periodically with time. This enables us to make synchronous phase detection in the Ronchi test. The procedure for Ronchigram analysis is presented, and experimental results are shown.
TL;DR: The double grating shearing interferometry method for determination of the degree of light collimation is described, representing a very strong argument proving the highly diffractive (wave optics) character of the classical Ronchi test.
Abstract: The double grating shearing interferometry method for determination of the degree of light collimation is described. High accuracy is obtained by performing the observation of fringes in the area of the size twice as big as the one usually assumed in shearing interferometry experiments. The conditions under which such a detection mode is feasible are derived. They represent at the same time a very strong argument proving the highly diffractive (wave optics) character of the classical Ronchi test.
TL;DR: A new kind of null Ronchi test for aspherical surfaces is devised using a special ruling with curved lines that depends solely on computation to determine the shape of the fringes on the surface.
Abstract: A new kind of null Ronchi test for aspherical surfaces is devised using a special ruling with curved lines. This test is found to be more advantageous for aspherical surfaces that the normal Ronchi test, which depends solely on computation to determine the shape of the fringes on the surface. The only restriction on this test is that a point source must be used.
TL;DR: This work uses trapezoidal integration to analyze the new patterns, since it does not have the smoothing drawback at the edges of the wave front in the Ronchi test.
Abstract: We use a square grid in the Ronchi test. This grid allows processing of both the X and the Y directions when calculating optical path difference. We use trapezoidal integration to analyze the new patterns, since it does not have the smoothing drawback at the edges of the wave front.
TL;DR: The analysis of a Ronchi pattern in order to find the experimental deviations of a given mirror whose theoretical shape is known, and the accuracy that can be obtained are described here.
Abstract: The test of a mirror by the Ronchi method has shown to be very useful for testing concave aspherical mirrors. The analysis of a Ronchi pattern in order to find the experimental deviations of a given mirror whose theoretical shape is known, and the accuracy that can be obtained are described here.