Short and accurate analytic formulas for the Seidel coefficients of gradient-index lenses with arbitrary radial refractive-index distributions have been obtained. Starting from analytic ray-tracing formulas, we have developed a technique for decomposing the two components of the transverse aberration of an arbitrary skew ray in surface and inhomogeneous transfer contributions and a technique for shortening the large expressions for the third-order terms resulting from the transfer contributions. Unlike previously known derivation methods, our method delivers simple algebraic expressions for all Seidel coefficients.
© 1994 Optical Society of America
Original Manuscript: January 25, 1994
Revised Manuscript: May 2, 1994
Manuscript Accepted: May 2, 1994
Published: October 1, 1994
F. Bociort and J. Kross, "Seidel aberration coefficients for radial gradient-index lenses," J. Opt. Soc. Am. A 11, 2647-2656 (1994)