Abstract

For many tasks in illumination and collection it is necessary that the acceptance angle vary along the reflector. If the acceptance-angle function is known, then the reflector profile can be calculated as a functional of it. The total flux seen by an observer from a source of uniform brightness (radiance) is proportional to the sum of the view factor of the source and its reflection. This allows one to calculate the acceptance-angle function that one needs to produce a certain flux distribution and thereby to construct the reflector profile. We demonstrate the method for several examples, including finite-size sources with reflectors directly joining the source.

© 1993 Optical Society of America

Integral design method for nonimaging concentrators

D. Jenkins and R. Winston
J. Opt. Soc. Am. A 13(10) 2106-2116 (1996)

Nonimaging compound parabolic concentrator-type reflectors with variable extreme direction

J. M. Gordon and A. Rabl
Appl. Opt. 31(34) 7332-7338 (1992)

Nonimaging reflectors for efficient uniform illumination

Jeff M. Gordon, Peter Kashin, and Ari Rabl
Appl. Opt. 31(28) 6027-6035 (1992)

Tailored edge-ray reflectors for illumination

Harald R. Ries and Roland Winston
J. Opt. Soc. Am. A 11(4) 1260-1264 (1994)

A high-gain, compact, nonimaging concentrator: RXI

Juan C. Miñano, Juan C. González, and Pablo Benítez
Appl. Opt. 34(34) 7850-7856 (1995)