title: An algebraic solution for the small lens null compensator.
abstract: Algebraic formulas are used to determine the location required for a single lens compensator in null testing any concave conic surface at center of curvature. The algebraic solution applies to oblate and prolate surfaces. The formulations are simple yet accurate enough to exhaust the capabilities of the small lens compensator with no need for trigonometric refinement. Suitability of a compensator and a tolerance for its location may also be determined. By graphing data from the algebraic solution, a given lens is calibrated for testing a wide range of conic eccentricities, sizes, and focal ratios.
authors.forename: R T
authors.initials: RT
authors.lastname: Holleran