To represent the freeform surface shape, the axially asymmetric quadric and a new set of the orthogonal polynomials are introduced. In this representation, surface tilt, paraxial properties, and higher order surface shape are clearly separated. With this representation, the optimization process can be simple and efficient.
© 2012 Optical Society of America
Optical Design and Fabrication
Original Manuscript: February 23, 2012
Manuscript Accepted: March 20, 2012
Published: May 18, 2012
Akira Yabe, "Representation of freeform surfaces suitable for optimization," Appl. Opt. 51, 3054-3058 (2012)