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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 11 — Nov. 1, 1977
  • pp: 1594–1598

Collection properties of generalized light concentrators

Robert E. Jones Jr.  »View Author Affiliations


JOSA, Vol. 67, Issue 11, pp. 1594-1598 (1977)
http://dx.doi.org/10.1364/JOSA.67.001594


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Abstract

The collection properties of generalized nonimaging radiation concentrators are studied for the case of geometrical optics. The second law of thermodynamics is applied to a concentrator located at the center of a cavity radiation source. It is shown that for three-dimensional concentrators the concentration C and the angular acceptance α(θ, ø) obey the relation 1 = Cθπ/2 = 0 ∫ø = 0π-1α(θ,ø)cosθsinθ dθdø. For cylindrical concentrators, the concentration and angular acceptance α(θ) obey the relation 1 = C-π/2-π/2(½)α(θ)cosθdθ. These relationships are shown to reduce to those previously known for the special case of ideal concentrators.

© 1977 Optical Society of America

Citation
Robert E. Jones Jr., "Collection properties of generalized light concentrators," J. Opt. Soc. Am. 67, 1594-1598 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-11-1594


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References

  1. R. Winston, "Principles of solar concentrators of a novel design," Solar Energy 16, 89–95 (1974).
  2. A. Rabl, "Comparison of solar concentrators," Solar Energy 18, 93–111 (1976).
  3. R. Winston, "Light collection within the framework of geometrical optics," J. Opt. Soc. Am. 60, 245–247 (1970).
  4. R. Hinterberger and R. Winston, "Efficient light coupler for threshold Čerenkov counters," Ref. Sci. Instrum. 37, 1094–1095 (1966).
  5. R. E. Jones, Jr., "Optical properties of cylindrical elliptic concentrators," Proceedings of Solar World Conference (International Solar Energy Society, Orlando, Fla., 1977), Sec. 36, p. 21–24.

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