The aberrations of lenses containing spherical index gradients are considered. Coordinate transformations from spherical to rectangular geometry are presented. These transformations enable calculation of the index polynomial in rectangular coordinates and subsequent calculation of aberration coefficients and ray trace data. The ability to alter the sign of the gradient aberration contribution by simply changing the curvature of the gradient is demonstrated.
© 1983 Optical Society of America
Stephen D. Fantone, "Optical design with spherical index gradients," Appl. Opt. 22, 1815-1819 (1983)