Abstract

For many tasks in illumination and collection it is necessary that the acceptance angle vary along the reflector. If the acceptance-angle function is known, then the reflector profile can be calculated as a functional of it. The total flux seen by an observer from a source of uniform brightness (radiance) is proportional to the sum of the view factor of the source and its reflection. This allows one to calculate the acceptance-angle function that one needs to produce a certain flux distribution and thereby to construct the reflector profile. We demonstrate the method for several examples, including finite-size sources with reflectors directly joining the source.

© 1993 Optical Society of America

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  1. R. Winston, “Nonimaging optics,” Sci. Am. 264, 76–81 (1991).
    [CrossRef]
  2. W. T. Welford, R. Winston, High Collection Non-Imaging Optics (Academic, New York, 1989), Chap. 3.
  3. H. C. Hottel, “Radiant energy transmission,” in Heat Transmission, 3rd ed., W. H. McAdams, ed. (McGraw-Hill, New York, 1954), Chap. 4.
  4. W. B. Elmer, The Optical Design of Reflectors, 2nd ed. (Wiley, New York, 1980), Chap. 4.4.
  5. R. Winston, “Cone collectors for finite sources,” Appl. Opt. 17, 688–689 (1978).
    [CrossRef] [PubMed]
  6. M. Collares-Pereira, A. Rabl, R. Winston, “Lens–mirror combinations with maximal concentration,” Appl. Opt. 16, 2677–2683 (1977).
    [CrossRef] [PubMed]
  7. A. Rabl, R. Winston, “Ideal concentrators for finite sources and restricted exit angles,” Appl. Opt. 15, 2880–2883 (1976).
    [CrossRef] [PubMed]
  8. J. M. Gordon, A. Rabl, “Nonimaging CPC-type reflectors with variable extreme directions,” submitted to Appl. Opt.
  9. J. M. Gordon, H. Ries, “Tailored edge-ray concentrators (TERC’s) as ideal second stages for Fresnel reflectors,” Appl. Opt. 32, 2243–2251 (1993).
    [CrossRef] [PubMed]
  10. R. Winston, “Nonimaging optics: optical design at the thermodynamic limit,” in Nonimaging Optics: Maximum Efficiency Light Transfer, R. Winston, R. L. Holman, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1528, 2–6 (1992).

1993 (1)

1991 (1)

R. Winston, “Nonimaging optics,” Sci. Am. 264, 76–81 (1991).
[CrossRef]

1978 (1)

1977 (1)

1976 (1)

Collares-Pereira, M.

Elmer, W. B.

W. B. Elmer, The Optical Design of Reflectors, 2nd ed. (Wiley, New York, 1980), Chap. 4.4.

Gordon, J. M.

J. M. Gordon, H. Ries, “Tailored edge-ray concentrators (TERC’s) as ideal second stages for Fresnel reflectors,” Appl. Opt. 32, 2243–2251 (1993).
[CrossRef] [PubMed]

J. M. Gordon, A. Rabl, “Nonimaging CPC-type reflectors with variable extreme directions,” submitted to Appl. Opt.

Hottel, H. C.

H. C. Hottel, “Radiant energy transmission,” in Heat Transmission, 3rd ed., W. H. McAdams, ed. (McGraw-Hill, New York, 1954), Chap. 4.

Rabl, A.

Ries, H.

Welford, W. T.

W. T. Welford, R. Winston, High Collection Non-Imaging Optics (Academic, New York, 1989), Chap. 3.

Winston, R.

R. Winston, “Nonimaging optics,” Sci. Am. 264, 76–81 (1991).
[CrossRef]

R. Winston, “Cone collectors for finite sources,” Appl. Opt. 17, 688–689 (1978).
[CrossRef] [PubMed]

M. Collares-Pereira, A. Rabl, R. Winston, “Lens–mirror combinations with maximal concentration,” Appl. Opt. 16, 2677–2683 (1977).
[CrossRef] [PubMed]

A. Rabl, R. Winston, “Ideal concentrators for finite sources and restricted exit angles,” Appl. Opt. 15, 2880–2883 (1976).
[CrossRef] [PubMed]

R. Winston, “Nonimaging optics: optical design at the thermodynamic limit,” in Nonimaging Optics: Maximum Efficiency Light Transfer, R. Winston, R. L. Holman, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1528, 2–6 (1992).

W. T. Welford, R. Winston, High Collection Non-Imaging Optics (Academic, New York, 1989), Chap. 3.

Appl. Opt. (4)

Sci. Am. (1)

R. Winston, “Nonimaging optics,” Sci. Am. 264, 76–81 (1991).
[CrossRef]

Other (5)

W. T. Welford, R. Winston, High Collection Non-Imaging Optics (Academic, New York, 1989), Chap. 3.

H. C. Hottel, “Radiant energy transmission,” in Heat Transmission, 3rd ed., W. H. McAdams, ed. (McGraw-Hill, New York, 1954), Chap. 4.

W. B. Elmer, The Optical Design of Reflectors, 2nd ed. (Wiley, New York, 1980), Chap. 4.4.

J. M. Gordon, A. Rabl, “Nonimaging CPC-type reflectors with variable extreme directions,” submitted to Appl. Opt.

R. Winston, “Nonimaging optics: optical design at the thermodynamic limit,” in Nonimaging Optics: Maximum Efficiency Light Transfer, R. Winston, R. L. Holman, eds., Proc. Soc. Photo-Opt. Instrum. Eng.1528, 2–6 (1992).

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