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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 23, Iss. 24 — Dec. 15, 1984
  • pp: 4554–4559

Effect of restricting the exit angle on the limit of concentration for cylindrical concentrators

Juan C. Miñano  »View Author Affiliations


Applied Optics, Vol. 23, Issue 24, pp. 4554-4559 (1984)
http://dx.doi.org/10.1364/AO.23.004554


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Abstract

The limit of concentration for cylindrical concentrators whose collector rejects rays arriving at grazing angles is calculated. Cylindrical concentrators having as cross section a 2-D optimal and ideal concentrator (CPC type) with restricted exit angle are analyzed. These concentrators do not achieve, in general, the upper limit but are very close to it. It is also shown that the upper limit is achievable. Finally, two 2-D concentrators with restricted exit angle are shown for the case when the collector is bifacial and specularly reflects the rejected rays.

© 1984 Optical Society of America

History
Original Manuscript: June 30, 1984
Published: December 15, 1984

Citation
Juan C. Miñano, "Effect of restricting the exit angle on the limit of concentration for cylindrical concentrators," Appl. Opt. 23, 4554-4559 (1984)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-23-24-4554


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References

  1. This result derives from the conservation of etendue theorem. See W. T. Welford, R. Winston, The Optics of Non-Imaging Concentrators (Academic, New York, 1978); A. Rabl, “Comparison of Solar Energy Concentrators,” Sol. Energy 18, 93 (1976); R. E. Jones, “Collection Properties of Generalized Light Concentrators,” J. Opt. Soc. Am. 67, 1594 (1977); F. Grasso, F. Musumeci, A. Triglia, “Relation Between Concentrators and Acceptance in Solar Collectors,” Sol. Energy 22, 521 (1979); R. P. Patera, “Irradiance on the Receiver of a General Optical Concentrator,” J. Opt. Soc. Am. 70, 986 (1980); E. J. Guay, “Maximally Concentrating Collectors for Solar Energy Applications,” Sol. Energy 24, 265 (1980). [CrossRef]
  2. J. C. Minano, A. Luque, “Limit of Concentration Under Extended Nonhomogeneous Light Sources,” Appl. Opt. 22, 2751 (1983). [CrossRef] [PubMed]
  3. A more usual expression of this equation refers to the ideal concentrators with flat entry aperture that collect all the rays which form an angle lower than ϕa with the normal to the entry aperture. In this case â = πsin2ϕa (see Ref. 6).
  4. J. C. Minano, “Application of the Conservation of Etendue Theorem for 2-D Subdomains of the Phase Space in Nonimaging Concentrators,” Appl. Opt. 23, 2021 (1984). [CrossRef] [PubMed]
  5. J. C. Minano, A. Luque, “Limit of Concentration for Cylindrical Concentrators Under Extended Light Sources,” Appl. Opt. 22, 2437 (1983). [CrossRef] [PubMed]
  6. A. Rabl, R. Winston, “Ideal Concentrators for Finite Sources and Restricted Exit Angles,” Appl. Opt. 15, 2880 (1976). [CrossRef] [PubMed]
  7. See Ref. 2 and R. P. Patera, “Irradiance on the Receiver of a General Optical Concentrator,” J. Opt. Soc. Am. 70, 986 (1980). In this last paper it is shown that a maximum exists for each Co value of â (independently of the entry aperture shape). [CrossRef]
  8. A. Luque, “Theoretical Bases of Photovoltaic Concentration for Extended Light Sources,” Sol. Cells 3, 355 (1981). [CrossRef]
  9. A. Luque, “Bifacial Solar Cells” in Silicon Processing for PhotovoltaicsC. P. Khattak, K. V. Ravi, Eds. (North Holland, Amsterdam, 1984), in press.
  10. W. T. Welford, R. Winston, The Optics of Non-Imaging Concentrators (Academic, New York, 1978).

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