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 <i>C</i> and the angular acceptance α(θ, ø) obey the relation 1 = <i>C</i> ∫<sub>θ</sub><sup>π/2</sup> = 0 ∫<sub>ø</sub><sup>2π</sup> = 0<sup>π-1</sup>α(θ,ø)cosθsinθ <i>d</i>θ<i>d</i>ø. For cylindrical concentrators, the concentration and angular acceptance α(θ) obey the relation 1 = <i>C</i> ∫<sub>-π/2</sub>-<sup>π/2</sup>(½)α(θ)cosθ<i>d</i>θ. These relationships are shown to reduce to those previously known for the special case of ideal concentrators.

© 1977 Optical Society of America

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  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.

1976

A. Rabl, "Comparison of solar concentrators," Solar Energy 18, 93–111 (1976).

1974

R. Winston, "Principles of solar concentrators of a novel design," Solar Energy 16, 89–95 (1974).

1970

1966

R. Hinterberger and R. Winston, "Efficient light coupler for threshold Čerenkov counters," Ref. Sci. Instrum. 37, 1094–1095 (1966).

Hinterberger, R.

R. Hinterberger and R. Winston, "Efficient light coupler for threshold Čerenkov counters," Ref. Sci. Instrum. 37, 1094–1095 (1966).

Jones, Jr., R. E.

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.

Rabl, A.

A. Rabl, "Comparison of solar concentrators," Solar Energy 18, 93–111 (1976).

Winston, R.

R. Winston, "Principles of solar concentrators of a novel design," Solar Energy 16, 89–95 (1974).

R. Winston, "Light collection within the framework of geometrical optics," J. Opt. Soc. Am. 60, 245–247 (1970).

R. Hinterberger and R. Winston, "Efficient light coupler for threshold Čerenkov counters," Ref. Sci. Instrum. 37, 1094–1095 (1966).

J. Opt. Soc. Am.

Ref. Sci. Instrum.

R. Hinterberger and R. Winston, "Efficient light coupler for threshold Čerenkov counters," Ref. Sci. Instrum. 37, 1094–1095 (1966).

Solar Energy

R. Winston, "Principles of solar concentrators of a novel design," Solar Energy 16, 89–95 (1974).

A. Rabl, "Comparison of solar concentrators," Solar Energy 18, 93–111 (1976).

Other

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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