We have developed an alternative approach to optical design which operates in the analytical domain so that an optical designer works directly with rays as analytical functions of system parameters rather than as discretely sampled polylines. This is made possible by a generalization of the proximate ray tracing technique which obtains the analytical dependence of the rays at the image surface (and ray path lengths at the exit pupil) on each system parameter. The resulting method provides an alternative direction from which to approach system optimization and supplies information which is not typically available to the system designer. In addition, we have further expanded the procedure to allow asymmetric systems and arbitrary order of approximation, and have illustrated the performance of the method through three lens design examples.
© 2010 Optical Society of America
Original Manuscript: February 17, 2010
Revised Manuscript: June 3, 2010
Manuscript Accepted: June 5, 2010
Published: July 14, 2010
Nan Zheng, Nathan Hagen, and David J. Brady, "Analytic-domain lens design with proximate ray tracing," J. Opt. Soc. Am. A 27, 1791-1802 (2010)