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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 4 — Apr. 1, 1983
  • pp: 508–511

Second-stage concentrators—a new formalism

Eli M. Kritchman  »View Author Affiliations


JOSA, Vol. 73, Issue 4, pp. 508-511 (1983)
http://dx.doi.org/10.1364/JOSA.73.000508


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Abstract

The concept of second-stage nonimaging concentrators is redefined. A model of an incoherent source of limited emitting angle serves to simulate the input rays to these elements. Hence the second stages may be classified as a subgroup of ideal concentrators that collect all the radiation emitted by such sources and concentrate it up to the maximum achievable limit. As a consequence of this discussion, it becomes obvious that, for any given plane behind a primary, an.ideal second stage can be designed with its entrance aperture located on that plane. Implications for the design of ideal reflectors with shielding windows are discussed.

© 1983 Optical Society of America

Citation
Eli M. Kritchman, "Second-stage concentrators—a new formalism," J. Opt. Soc. Am. 73, 508-511 (1983)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-73-4-508


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References

  1. R. Winston, "Light collection within the framework of geometrical optics," J. Opt. Soc. Am. 60, 245–247 (1970).
  2. R. Winston, "Principles of solar concentrators of a novel design," Sol. Energy 16, 89– (1974).
  3. R. Winston and H. Hinterberger, "Principles of cylindrical concentrators for solar energy," Sol. Energy 17, 255– (1975).
  4. A. Rabl, "Solar concentrators with maximal concentration for cylindrical absorbers," Appl. Opt. 15, 1871–1873 (1976).
  5. A. Rabl, "Comparison of solar concentrators," Sol. Energy 18, 93– (1976).
  6. A. Rabl and R. Winston, "Ideal concentrators for finite sourcesand restricted exit angles," Appl. Opt. 16, 2880–2883 (1976).
  7. For simplicity, we assume here thin primaries, so their physical entrance and exit apertures coincide with each other.
  8. R. Winston and W. T. Welford, "Design of nonimaging concentrators as second stages in tandem with image-forming first-stageconcentrators," Appl. Opt. 19, 347–351 (1980).
  9. R. Winston and W. T. Welford, "Two-dimensional concentrators for inhomogeneous media," J. Opt. Soc. Am. 68, 289–291 (1978).
  10. W. T. Welford and R. Winston, The Optics of Nonimaging Concentrators (Academic, New York, 1978), Chap. 2.7.
  11. R. Winston, "Cone collectors for finite sources," Appl. Opt. 17, 688–689 (1978).
  12. M. Collares-Pereira, A. Rabl, and R. Winston, "Lens mirror combination with maximal concentration," Appl. Opt. 16, 2677–2683 (1977).
  13. R. Winston and W. T. Welford, "Geometrical vector flux and some new nonimaging concentrators," J. Opt. Soc. Am. 69, 532–536 (1979).
  14. E. M. Kritchman, "Second stage ideal concentrators," J. Opt. Soc. Am. 72, 399–401 (1982).
  15. E. M. Kritchman, "Asymmetric second stage concentrators," Appl. Opt. 21, 870–873 (1982).
  16. J. J. O'Gallagher, K. Snail, R. Winston, S. C. Peek, and J. D. Garrison, "A new evacuated CPC collector tube," Sol. Energy (to be published).
  17. This idea was suggested by R. Winston and J. J. O'Gallagher, University of Chicago, Chicago, Ill. 60637 (personal communication).
  18. E. M. Kritchman, "Color-corrected Fresnel lens for solar concentration,"Opt. Lett. 5, 35–37 (1980).

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