title: Relationships between the generalized functional method and other methods of nonimaging optical design.
abstract: The recently developed generalized functional method provides a means of designing nonimaging concentrators and luminaires for use with extended sources and receivers. We explore the mathematical relationships between optical designs produced using the generalized functional method and edge-ray, aplanatic, and simultaneous multiple surface (SMS) designs. Edge-ray and dual-surface aplanatic designs are shown to be special cases of generalized functional designs. In addition, it is shown that dual-surface SMS designs are closely related to generalized functional designs and that certain computational advantages accrue when the two design methods are combined. A number of examples are provided.
authors: Science Applications International Corporation, 10260 Campus Point Drive, San Diego, California 92121, USA. john.c.bortz@saic.com
authors: John
authors: J
authors: Bortz
authors: Narkis
authors: N
authors: Shatz