Interferometric scanning method(s) and apparatus for measuring rotationally and non-rotationally symmetric test
optics having spherical, mildly aspherical and multiple, mildly aspherical surfaces. At least a partial spherical
wavefront is generated from a known origin along a scanning axis through the use of a spherical
reference surface positioned along the scanning axis upstream of the known origin. A test optic is aligned with respect to the scanning axis and selectively moved along said scanning axis relative to the known origin so that the spherical
wavefront intersects the test optic at the apex of the aspherical surface and at one or more radial positions where the spherical
wavefront and the aspheric surface intersect at points of common tangency to generate interferograms containing phase information about the differences in
optical path length between the center of the test optic and the one or more radial positions. The interferogram is imaged onto a
detector to provide an electronic
signal carrying the phase information. The
axial distance, ν, by which said test optic is moved with respect to said origin is interferometrically measured and the
optical path length differences, p, between the center of test optic and the one or more radial positions is calculated based on the phase differences contained in the electronic
signal. The coordinates, z and h, of the aspherical surface are calculated wherever the circles of curvature have intersected the aspherical surface at common points of tangency and in correspondence with the interferometrically measured distance, ν and calculated
optical path lengths, p. The shape of the aspheric surface is then determined based on the coordinate values and the
optical path length differences.