A Model for Cavity Induced Errors with Wavefront Slope in High Accuracy Spherical Fizeau Metrology (ABSTRACT)
A paper by Sykora of Zygo showing that the Random Ball Test (RBT) works less and less precisely as the numerical aperture of the transmission sphere becomes smaller. In other words, the RBT works best for fast transmission spheres and another means of calibration should be used for slow test optics.
ABSTRACT: A note describing the Random Ball Test (RBT) for calibrating interferometer transmission spheres by averaging a number of interferograms taken of different, randomly positioned, patches of a precision silicon nitride ball.
ABSTRACT: A paper by authors at NIST about simulations and experiments done with the Random Ball Test (RBT) giving criteria for establishing the precision of transmission sphere calibration using the RBT.
ABSTRACT: A paper by Creath and Wyant explaining the method of calibration of surface roughness interferometers. This same method is used in the Random Ball Test (RBT) except that the random surface over which interferograms are averaged is not a plane but a sphere.
ABSTRACT: A readable copy of the original paper on the Random Ball Test (RBT) authored at NIST that was published in a non-archival meeting journal. Even here the figures are not legible. For better example figures see "A practical implementation of the random ball test".
ABSTRACT: A study by Burke and Wu of CSIRO comparing several methods of transmission sphere calibration that concludes the Random Ball Test (RBT) has the highest precision of all the methods tried though it is tedious to perform for highest precision if the RBT is not automated.
ABSTRACT: Slides by Burke and Wu of CSIRO about Random Ball Test (RBT) calibration of a transmission sphere prior to its use in the test of a high precision hemisphere.
ABSTRACT: Paper by W. Cai, et. al., comparing experimental results in the Random Ball Test (RBT) between using a clean ball and systematic measurement versus a somewhat dirty ball and casual measurement. The results gave identical precision within reasonable statistical limits.
ABSTRACT: A paper by P. Zhou examining the precision with which the Random Ball Test (RBT) can be done as a function of the spatial frequency of the errors in the transmission sphere, the radius of curvature of the ball used and diffration at the edge of the aperture. The conclusion is that the RBT works most precisely for fast transmission spheres.
ABSTRACT: Another paper by Burke and Wu at CSIRO that says the Random Ball Test (RBT) is the most precise method for calibrating fast transmission spheres but that it is tedious for highest precision unless automated.