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  1. J. J. O’Gallagher, A. Rabl, R. Winston, W. McIntire, “Absorption Enhancement in Solar Collectors by Multiple Reflections,” Sol. Energy (in press).
  2. I. M. Bassett, G. H. Derrick, “An Upper Bound on the Efficiency of a Collector of Diffuse Radiation on a Gray Absorber,” Opt. Acta (in press).
  3. W. T. Welford, R. Winston, Optics of Nonimaging Concentrators (Academic, New York, 1978). In making statements of this kind we do not include the effects of imperfect reflectance of mirrors or transmittance of covers.
  4. R. Winston, W. T. Welford, J. Opt. Soc. Am. 68, 289 (1978).
    [CrossRef]
  5. R. Winston, Appl. Opt. 17, 1668 (1978).
    [CrossRef] [PubMed]
  6. Enclosures composed of perfectly diffuse reflecting walls have been discussed by I. M. Bassett, G. H. Derrick, “The Collection and Dissemination of Light with the aid of Diffuse Reflectors”, Opt. Acta (1979) (in press).
  7. W. McIntire, “New Reflector Design which Avoids Losses Through Gaps Between Tubular Absorbers and Reflectors”, preprint submitted to Sol. Energy.
  8. In the language of radiation transfer we want the blackbody radiation shape factor FABCD-ABCD to vanish. Then it is possible to have FABCD-R = 1 See, for example, E. M. Sparrow, R. D. Cess, Radiation Heat Transfer (Cole, Belmont, Calif., 1970).
  9. R. Winston, H. Hinterberger, Sol. Energy 17, 255 (1975).
    [CrossRef]
  10. D. E. Williamson, J. Opt. Soc. Am. 42, 712 (1952).
    [CrossRef]
  11. Notice that for this case, since we are working near the limit g ≈ r, set by Eq. (3), radiation starting from the receiver would mostly be reflected into directions outside the receiver as required by conservation of étendue.
  12. In case the condition h ≪ r is not met one should replace ϕ by α = sin−1 [r/(r + g + h)] in Eq. (4), where α is the half angle subtended by the receiver from the apex of the V-groove. Thus one first chooses α, then ψ, and finally h to complete the design.

1978 (2)

1975 (1)

R. Winston, H. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

1952 (1)

Bassett, I. M.

I. M. Bassett, G. H. Derrick, “An Upper Bound on the Efficiency of a Collector of Diffuse Radiation on a Gray Absorber,” Opt. Acta (in press).

Enclosures composed of perfectly diffuse reflecting walls have been discussed by I. M. Bassett, G. H. Derrick, “The Collection and Dissemination of Light with the aid of Diffuse Reflectors”, Opt. Acta (1979) (in press).

Cess, R. D.

In the language of radiation transfer we want the blackbody radiation shape factor FABCD-ABCD to vanish. Then it is possible to have FABCD-R = 1 See, for example, E. M. Sparrow, R. D. Cess, Radiation Heat Transfer (Cole, Belmont, Calif., 1970).

Derrick, G. H.

Enclosures composed of perfectly diffuse reflecting walls have been discussed by I. M. Bassett, G. H. Derrick, “The Collection and Dissemination of Light with the aid of Diffuse Reflectors”, Opt. Acta (1979) (in press).

I. M. Bassett, G. H. Derrick, “An Upper Bound on the Efficiency of a Collector of Diffuse Radiation on a Gray Absorber,” Opt. Acta (in press).

Hinterberger, H.

R. Winston, H. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

McIntire, W.

J. J. O’Gallagher, A. Rabl, R. Winston, W. McIntire, “Absorption Enhancement in Solar Collectors by Multiple Reflections,” Sol. Energy (in press).

W. McIntire, “New Reflector Design which Avoids Losses Through Gaps Between Tubular Absorbers and Reflectors”, preprint submitted to Sol. Energy.

O’Gallagher, J. J.

J. J. O’Gallagher, A. Rabl, R. Winston, W. McIntire, “Absorption Enhancement in Solar Collectors by Multiple Reflections,” Sol. Energy (in press).

Rabl, A.

J. J. O’Gallagher, A. Rabl, R. Winston, W. McIntire, “Absorption Enhancement in Solar Collectors by Multiple Reflections,” Sol. Energy (in press).

Sparrow, E. M.

In the language of radiation transfer we want the blackbody radiation shape factor FABCD-ABCD to vanish. Then it is possible to have FABCD-R = 1 See, for example, E. M. Sparrow, R. D. Cess, Radiation Heat Transfer (Cole, Belmont, Calif., 1970).

Welford, W. T.

R. Winston, W. T. Welford, J. Opt. Soc. Am. 68, 289 (1978).
[CrossRef]

W. T. Welford, R. Winston, Optics of Nonimaging Concentrators (Academic, New York, 1978). In making statements of this kind we do not include the effects of imperfect reflectance of mirrors or transmittance of covers.

Williamson, D. E.

Winston, R.

R. Winston, W. T. Welford, J. Opt. Soc. Am. 68, 289 (1978).
[CrossRef]

R. Winston, Appl. Opt. 17, 1668 (1978).
[CrossRef] [PubMed]

R. Winston, H. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

J. J. O’Gallagher, A. Rabl, R. Winston, W. McIntire, “Absorption Enhancement in Solar Collectors by Multiple Reflections,” Sol. Energy (in press).

W. T. Welford, R. Winston, Optics of Nonimaging Concentrators (Academic, New York, 1978). In making statements of this kind we do not include the effects of imperfect reflectance of mirrors or transmittance of covers.

Appl. Opt. (1)

J. Opt. Soc. Am. (2)

Sol. Energy (1)

R. Winston, H. Hinterberger, Sol. Energy 17, 255 (1975).
[CrossRef]

Other (8)

Notice that for this case, since we are working near the limit g ≈ r, set by Eq. (3), radiation starting from the receiver would mostly be reflected into directions outside the receiver as required by conservation of étendue.

In case the condition h ≪ r is not met one should replace ϕ by α = sin−1 [r/(r + g + h)] in Eq. (4), where α is the half angle subtended by the receiver from the apex of the V-groove. Thus one first chooses α, then ψ, and finally h to complete the design.

J. J. O’Gallagher, A. Rabl, R. Winston, W. McIntire, “Absorption Enhancement in Solar Collectors by Multiple Reflections,” Sol. Energy (in press).

I. M. Bassett, G. H. Derrick, “An Upper Bound on the Efficiency of a Collector of Diffuse Radiation on a Gray Absorber,” Opt. Acta (in press).

W. T. Welford, R. Winston, Optics of Nonimaging Concentrators (Academic, New York, 1978). In making statements of this kind we do not include the effects of imperfect reflectance of mirrors or transmittance of covers.

Enclosures composed of perfectly diffuse reflecting walls have been discussed by I. M. Bassett, G. H. Derrick, “The Collection and Dissemination of Light with the aid of Diffuse Reflectors”, Opt. Acta (1979) (in press).

W. McIntire, “New Reflector Design which Avoids Losses Through Gaps Between Tubular Absorbers and Reflectors”, preprint submitted to Sol. Energy.

In the language of radiation transfer we want the blackbody radiation shape factor FABCD-ABCD to vanish. Then it is possible to have FABCD-R = 1 See, for example, E. M. Sparrow, R. D. Cess, Radiation Heat Transfer (Cole, Belmont, Calif., 1970).

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Figures (3)

Fig. 1
Fig. 1

a) Element S redirects radiation from outside the angular subtense 2ϕ onto the receiver R. (b) Enclosure composed of scattering elements S. The effective aperture of the cavity ABCD is blocked from seeing itself by the receiver R.

Fig. 2
Fig. 2

Element S as a reflecting V-groove. Shown is a cylindrical receiver and its images following the method of Williamson. The images R′, R″ are taken clockwise. Hence the desired scattering property is verified by noticing that rays incident on the right side of the V invariably intercept an image. For the example chosen the gap g = 0.85r and the V opening angle 2ψ = 118°.

Fig. 3
Fig. 3

Concentrator for a cylindrical receiver using a grooved cavity. For the example chosen, g = 0.8r, 2ψ = 118°. The angular acceptance θ = 60° and over-all concentration C = 1.

Equations (10)

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C = [ A B C D ] / [ R ]
C = [ A B C D ] [ R ] · 1 sin θ ,
2 sin ϕ 2 ( 1 - sin ϕ ) ,             ϕ 30 ° .
π - 2 ϕ 2 ψ π / 2 + ϕ .
h r cot 2 ψ + g ( cot 2 ψ - 1 ) / 2.
δ = [ r 2 + ( h tan ψ ) 2 ] 1 / 2 - r .
δ [ r 2 + h r ] 1 / 2 - r .
sin α sin 2 ψ sin 2 α .
sin α ( 5 1 / 2 - 1 ) / 2.
ϕ 45 ° ( 3 - D ) .

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