Abstract

Nonimaging reflectors that are an extension of the design principle that was developed for compound parabolic concentrator type devices are proposed for illumination applications. The optical designs presented offer maximal lighting efficiency while they retain sharp angular control of the radiation and highly uniform flux densities on distant target planes. Our results are presented for symmetrical configurations in two dimensions (troughlike reflectors) for flat and for tubular sources. For fields of view of practical interest (half-angle in the 30–60° range), these devices can achieve minimum-to-maximum intensity ratios of ~ 0.7, while they remain compact and incur low reflective losses.

© 1992 Optical Society of America

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    [CrossRef]
  2. D. G. Burkhard, D. C. Shealy, “Design of reflectors which will distribute sunlight in a specified manner,” Sol. Energy 17, 221–227 (1975).
    [CrossRef]
  3. D. G. Burkhard, D. L. Shealy, “Specular aspheric surface to obtain a specified irradiance from discrete or continuous line source radiation: design,” Appl. Opt. 14, 1279–1284 (1975).
    [CrossRef] [PubMed]
  4. W. B. Elmer, The Optical Design of Reflectors, 2nd ed. (Wiley, New York, 1980), Chap. 4, pp. 54–75; Chap. 6, pp. 85–123; Chap. 7, pp. 124–127; Chap. 10, pp. 142–186; Chap. 14, pp. 201–214; Part 5, pp. 226–248.
  5. W. B. Elmer, “The optics of reflectors for illumination,” IEEE Trans. Ind. Appl. IA-19, 776 (1983).
    [CrossRef]
  6. W. T. Welford, R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989), Chap. 4, pp. 53–76; Chap. 6, pp. 99–114; Chap. 9, pp. 147–163; Chap. 10, pp. 165–199; Chap. 11, pp. 201–221.
  7. A. Rabl, Active Solar Collectors and Their Applications (Oxford U. Press, New York, 1985), Chap. 5, pp. 125–133; Chap. 6, pp. 147–169; Chap. 7, pp. 170–195; Chap. 8, pp. 196–211.
  8. R. Siegel, J. R. Howell, Thermal Radiation Heat Transfer (McGraw-Hill, New York, 1972), Chap. 7, pp. 170–234.
  9. H. C. Hottel, A. F. Sarofim, Radiation Transfer (McGraw-Hill, New York, 1978), Chap. 2, pp. 25–71.
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    [CrossRef]
  12. M. J. Carvalho, M. Collares-Pereira, J. M. Gordon, A. Rabl, “Truncation of CPC solar collectors and its effect on energy collection,” Sol. Energy 35, 393–399 (1985).
    [CrossRef]
  13. A. Rabl, “Solar concentrators with maximal concentration for cylindrical absorbers,” Appl. Opt. 15, 1871–1873 (1976).
    [CrossRef] [PubMed]
  14. H. P. Baum, J. M. Gordon, “Geometric characteristics of ideal nonimaging (CPC) solar collectors with cylindrical absorber,” Sol. Energy 33, 455–458 (1984).
    [CrossRef]
  15. A. Rabl, “Lighting technology: luminaire performance,” Rev. Energ. 424, 482–488 (1990).

1990

A. Rabl, “Lighting technology: luminaire performance,” Rev. Energ. 424, 482–488 (1990).

1985

M. J. Carvalho, M. Collares-Pereira, J. M. Gordon, A. Rabl, “Truncation of CPC solar collectors and its effect on energy collection,” Sol. Energy 35, 393–399 (1985).
[CrossRef]

1984

H. P. Baum, J. M. Gordon, “Geometric characteristics of ideal nonimaging (CPC) solar collectors with cylindrical absorber,” Sol. Energy 33, 455–458 (1984).
[CrossRef]

1983

W. B. Elmer, “The optics of reflectors for illumination,” IEEE Trans. Ind. Appl. IA-19, 776 (1983).
[CrossRef]

1977

A. Rabl, “Radiation transfer through specular passages,” Int. J. Heat Mass Transfer 20, 323–330 (1977).
[CrossRef]

1976

1975

D. G. Burkhard, D. L. Shealy, “Specular aspheric surface to obtain a specified irradiance from discrete or continuous line source radiation: design,” Appl. Opt. 14, 1279–1284 (1975).
[CrossRef] [PubMed]

D. G. Burkhard, D. C. Shealy, “Design of reflectors which will distribute sunlight in a specified manner,” Sol. Energy 17, 221–227 (1975).
[CrossRef]

1965

Baum, H. P.

H. P. Baum, J. M. Gordon, “Geometric characteristics of ideal nonimaging (CPC) solar collectors with cylindrical absorber,” Sol. Energy 33, 455–458 (1984).
[CrossRef]

Bohn, M. S.

F. Kreith, M. S. Bohn, Principles of Heat Transfer, 4th ed. (Harper & Row, New York, 1986), Chap. 9, pp. 457–470.

Burkhard, D. G.

D. G. Burkhard, D. L. Shealy, “Specular aspheric surface to obtain a specified irradiance from discrete or continuous line source radiation: design,” Appl. Opt. 14, 1279–1284 (1975).
[CrossRef] [PubMed]

D. G. Burkhard, D. C. Shealy, “Design of reflectors which will distribute sunlight in a specified manner,” Sol. Energy 17, 221–227 (1975).
[CrossRef]

Carvalho, M. J.

M. J. Carvalho, M. Collares-Pereira, J. M. Gordon, A. Rabl, “Truncation of CPC solar collectors and its effect on energy collection,” Sol. Energy 35, 393–399 (1985).
[CrossRef]

Collares-Pereira, M.

M. J. Carvalho, M. Collares-Pereira, J. M. Gordon, A. Rabl, “Truncation of CPC solar collectors and its effect on energy collection,” Sol. Energy 35, 393–399 (1985).
[CrossRef]

Elmer, W. B.

W. B. Elmer, “The optics of reflectors for illumination,” IEEE Trans. Ind. Appl. IA-19, 776 (1983).
[CrossRef]

W. B. Elmer, The Optical Design of Reflectors, 2nd ed. (Wiley, New York, 1980), Chap. 4, pp. 54–75; Chap. 6, pp. 85–123; Chap. 7, pp. 124–127; Chap. 10, pp. 142–186; Chap. 14, pp. 201–214; Part 5, pp. 226–248.

Fitzgerald, J. F.

Gordon, J. M.

M. J. Carvalho, M. Collares-Pereira, J. M. Gordon, A. Rabl, “Truncation of CPC solar collectors and its effect on energy collection,” Sol. Energy 35, 393–399 (1985).
[CrossRef]

H. P. Baum, J. M. Gordon, “Geometric characteristics of ideal nonimaging (CPC) solar collectors with cylindrical absorber,” Sol. Energy 33, 455–458 (1984).
[CrossRef]

Hottel, H. C.

H. C. Hottel, A. F. Sarofim, Radiation Transfer (McGraw-Hill, New York, 1978), Chap. 2, pp. 25–71.

Howell, J. R.

R. Siegel, J. R. Howell, Thermal Radiation Heat Transfer (McGraw-Hill, New York, 1972), Chap. 7, pp. 170–234.

Kreith, F.

F. Kreith, M. S. Bohn, Principles of Heat Transfer, 4th ed. (Harper & Row, New York, 1986), Chap. 9, pp. 457–470.

Montgomery, L. L.

Rabl, A.

A. Rabl, “Lighting technology: luminaire performance,” Rev. Energ. 424, 482–488 (1990).

M. J. Carvalho, M. Collares-Pereira, J. M. Gordon, A. Rabl, “Truncation of CPC solar collectors and its effect on energy collection,” Sol. Energy 35, 393–399 (1985).
[CrossRef]

A. Rabl, “Radiation transfer through specular passages,” Int. J. Heat Mass Transfer 20, 323–330 (1977).
[CrossRef]

A. Rabl, “Solar concentrators with maximal concentration for cylindrical absorbers,” Appl. Opt. 15, 1871–1873 (1976).
[CrossRef] [PubMed]

A. Rabl, Active Solar Collectors and Their Applications (Oxford U. Press, New York, 1985), Chap. 5, pp. 125–133; Chap. 6, pp. 147–169; Chap. 7, pp. 170–195; Chap. 8, pp. 196–211.

Sarofim, A. F.

H. C. Hottel, A. F. Sarofim, Radiation Transfer (McGraw-Hill, New York, 1978), Chap. 2, pp. 25–71.

Shealy, D. C.

D. G. Burkhard, D. C. Shealy, “Design of reflectors which will distribute sunlight in a specified manner,” Sol. Energy 17, 221–227 (1975).
[CrossRef]

Shealy, D. L.

Siegel, R.

R. Siegel, J. R. Howell, Thermal Radiation Heat Transfer (McGraw-Hill, New York, 1972), Chap. 7, pp. 170–234.

Spencer, D. E.

Welford, W. T.

W. T. Welford, R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989), Chap. 4, pp. 53–76; Chap. 6, pp. 99–114; Chap. 9, pp. 147–163; Chap. 10, pp. 165–199; Chap. 11, pp. 201–221.

Winston, R.

W. T. Welford, R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989), Chap. 4, pp. 53–76; Chap. 6, pp. 99–114; Chap. 9, pp. 147–163; Chap. 10, pp. 165–199; Chap. 11, pp. 201–221.

Appl. Opt.

IEEE Trans. Ind. Appl.

W. B. Elmer, “The optics of reflectors for illumination,” IEEE Trans. Ind. Appl. IA-19, 776 (1983).
[CrossRef]

Int. J. Heat Mass Transfer

A. Rabl, “Radiation transfer through specular passages,” Int. J. Heat Mass Transfer 20, 323–330 (1977).
[CrossRef]

J. Opt. Soc. Am.

Rev. Energ.

A. Rabl, “Lighting technology: luminaire performance,” Rev. Energ. 424, 482–488 (1990).

Sol. Energy

M. J. Carvalho, M. Collares-Pereira, J. M. Gordon, A. Rabl, “Truncation of CPC solar collectors and its effect on energy collection,” Sol. Energy 35, 393–399 (1985).
[CrossRef]

D. G. Burkhard, D. C. Shealy, “Design of reflectors which will distribute sunlight in a specified manner,” Sol. Energy 17, 221–227 (1975).
[CrossRef]

H. P. Baum, J. M. Gordon, “Geometric characteristics of ideal nonimaging (CPC) solar collectors with cylindrical absorber,” Sol. Energy 33, 455–458 (1984).
[CrossRef]

Other

W. T. Welford, R. Winston, High Collection Nonimaging Optics (Academic, San Diego, Calif., 1989), Chap. 4, pp. 53–76; Chap. 6, pp. 99–114; Chap. 9, pp. 147–163; Chap. 10, pp. 165–199; Chap. 11, pp. 201–221.

A. Rabl, Active Solar Collectors and Their Applications (Oxford U. Press, New York, 1985), Chap. 5, pp. 125–133; Chap. 6, pp. 147–169; Chap. 7, pp. 170–195; Chap. 8, pp. 196–211.

R. Siegel, J. R. Howell, Thermal Radiation Heat Transfer (McGraw-Hill, New York, 1972), Chap. 7, pp. 170–234.

H. C. Hottel, A. F. Sarofim, Radiation Transfer (McGraw-Hill, New York, 1978), Chap. 2, pp. 25–71.

F. Kreith, M. S. Bohn, Principles of Heat Transfer, 4th ed. (Harper & Row, New York, 1986), Chap. 9, pp. 457–470.

W. B. Elmer, The Optical Design of Reflectors, 2nd ed. (Wiley, New York, 1980), Chap. 4, pp. 54–75; Chap. 6, pp. 85–123; Chap. 7, pp. 124–127; Chap. 10, pp. 142–186; Chap. 14, pp. 201–214; Part 5, pp. 226–248.

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