PMID- 21460919 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20110809 LR - 20181023 IS - 1539-4522 (Electronic) IS - 1559-128X (Linking) VI - 50 IP - 10 DP - 2011 Apr 1 TI - Relationships between the generalized functional method and other methods of nonimaging optical design. PG - 1488-500 LID - 10.1364/AO.50.001488 [doi] AB - 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. CI - (c) 2011 Optical Society of America FAU - Bortz, John AU - Bortz J AD - Science Applications International Corporation, 10260 Campus Point Drive, San Diego, California 92121, USA. john.c.bortz@saic.com FAU - Shatz, Narkis AU - Shatz N LA - eng PT - Journal Article PL - United States TA - Appl Opt JT - Applied optics JID - 0247660 EDAT- 2011/04/05 06:00 MHDA- 2011/04/05 06:01 CRDT- 2011/04/05 06:00 PHST- 2011/04/05 06:00 [entrez] PHST- 2011/04/05 06:00 [pubmed] PHST- 2011/04/05 06:01 [medline] AID - 211414 [pii] AID - 10.1364/AO.50.001488 [doi] PST - ppublish SO - Appl Opt. 2011 Apr 1;50(10):1488-500. doi: 10.1364/AO.50.001488.