The Center for Freeform Optics
An Industry/University Cooperative Research Center

Mathematical Properties of Describing Freeform Optical Surfaces with Orthogonal Bases

Nick Takaki, Jannick P. Rolland

in Proceedings of International Optical Design Conference 2017

Orthogonal polynomials offer several mathematical properties for describing freeform optical surfaces. To leverage these properties, their interaction with variables such as tip and tilt, base sphere and conic variables, and packaging variables must be understood.