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Applied Optics

Applied Optics


  • Vol. 35, Iss. 22 — Aug. 1, 1996
  • pp: 4361–4371

Tailored edge-ray designs for illumination with tubular sources

P. T. Ong, J. M. Gordon, and A. Rabl  »View Author Affiliations

Applied Optics, Vol. 35, Issue 22, pp. 4361-4371 (1996)

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The rubric tailored edge-ray designs (TED’s) refers to the procedure for tailoring lighting reflectors to produce a prescribed flux distribution for an extended Lambertian source while ensuring maximum radiative efficiency (no radiation being returned to the source). Most TED studies to date have been restricted to the case in which the two edges of the image of the source in the reflectors are bound by a source edge ray and a reflector edge. The extension to the more general, and challenging, solution in which both edges of the image can be bound by rays from opposite edges of the source was recently begun by Ries and Winston [J. Opt. Soc. Am. A 11, 1260–1264 (1994)] but was described in detail only for one particular design. We show that there are four topologically distinct classes of such reflectors; we derive the governing differential equations and obtain the solution in analytical form. Our results are illustrated for the case of uniform far-field illuminance production with symmetric configurations in two dimensions. Relative to earlier TED’s, these new devices can offer increased uniform core regions and superior glare control, although they are somewhat less compact. We offer a comprehensive analysis of the geometric properties, flux-map characteristics, and limitations of these new TED’s.

© 1996 Optical Society of America

Original Manuscript: August 22, 1995
Revised Manuscript: February 26, 1996
Published: August 1, 1996

P. T. Ong, J. M. Gordon, and A. Rabl, "Tailored edge-ray designs for illumination with tubular sources," Appl. Opt. 35, 4361-4371 (1996)

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  1. H. Ries, R. Winston, “Tailored edge-ray reflectors for illumination,” J. Opt. Soc. Am. A 11, 1260–1264 (1994). [CrossRef]
  2. R. Winston, H. Ries, “Nonimaging reflectors as functional of the desired irradiance,” J. Opt. Soc. Am. A 10, 1902–1908 (1993). [CrossRef]
  3. A. Rabl, J. M. Gordon, “Reflector designs for illumination with extended sources: the basic solutions,” Appl. Opt. 33, 6012–6021 (1994). [CrossRef] [PubMed]
  4. W. B. Elmer, The Optical Design of Reflectors (TLA Lighting Consultants, Salem, Mass., Wiley, New York, 1989); see also 1980 edition.
  5. W. T. Welford, R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989).
  6. H. Ries, A. Rabl, “The edge-ray principle of nonimaging optics,” J. Opt. Soc. Am. A 11, 2627–2632 (1994). [CrossRef]
  7. A. Rabl, “Edge-ray method for analysis of radiation transfer among specular reflectors,” Appl. Opt. 33, 1248–1259 (1994). [CrossRef] [PubMed]
  8. P. T. Ong, J. M. Gordon, A. Rabl, W. Cai, “Tailored edge-ray designs for uniform illumination of distant targets,” Opt. Eng. 34, 1726–1737 (1995). [CrossRef]
  9. P. T. Ong, J. M. Gordon, A. Rabl, “Tailoring lighting reflectors to prescribed illuminance distributions: compact partial-involute designs,” Appl. Opt. 34, 7877–7887 (1995). [CrossRef] [PubMed]
  10. J. M. Gordon, A. Rabl, “Nonimaging CPC-type reflectors with variable extreme direction,” Appl. Opt. 31, 7332–7338 (1992). [CrossRef] [PubMed]
  11. IES Lighting Handbook: Reference Volume (Illuminating Engineering Society of North America, New York, 1984); IES Recommended Practice RP-24-89: Lighting Offices Containing Computer Visual Display Terminals (Illuminating Engineering Society of North America, New York, 1989).
  12. DIN Standard 66234: Bildschirmarbeitsplätze (Work Places with Video Display Terminals), Part 7, “Ergonomische Gestaltung des Arbeitsraumes: Beleuchtung und Anordnung” (Ergonomic Organization of the Place of Work: Illumination and Arrangement) (Union Technique de l’Electricité, UTE Cedex 64, 92052 Paris, 1990).
  13. C. L. Wyatt, Radiometric System Design (Macmillan, New York, 1987).

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