Abstract

The unidirectional reflectance of an imperfectly diffuse surface is defined in terms of the surface radiance and the equivalent hemispherical radiance of the source. Equations relating the unidirectional reflectance to the directional reflectance, the polar and azimuthal angles for incident and reflected energy, and the voltage signal of a phototube detector are derived. A reflectometer is described for measuring the monochromatic unidirectional reflectance over the visible region of the spectrum and data of a magnesium oxide coating, two white paints, and a dull and polished aluminum surface are presented.

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  1. K. E. Torrance and E. M. Sparrow, J. Heat Transfer 87, 283 (1965).
  2. R. C. Birkebak and E. R. G. Eckert, J. Heat Transfer 87, 85 (1965).
  3. H. J. McNicholas, J. Res. Natl. Bur. Std, 1, 29 (1928).
  4. F. E. Nicodemus, Appl. Opt. 4, 767 (1965).
  5. D. K. Edwards, J. T. Gier, J. E. Nelson, and R. D. Roddick, J. Opt. Soc. Am. 51, 1279 (1961).
  6. J. T. Gier, R. V. Dunkle, and J. T. Bevans, J. Opt. Soc. Am. 44, 558 (1954).
  7. F. Mäder, Bull. Schweiz Electrotechn. Ver. 38, 632 (1947).
  8. J. A. Jacquez, W. McKeehan, J. Huss, J. M. Dimitroff, and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 781 (1955).
  9. C. P. Tingwaldt, Optik 9, 323 (1952).
  10. W. E. K. Middleton and C. L. Sanders, Illuminating Eng. 48, 254 (1953).
  11. Dhetty Blet-Talbot, Rev. Opt. 34, 579 (1955).

Bevans, J. T.

J. T. Gier, R. V. Dunkle, and J. T. Bevans, J. Opt. Soc. Am. 44, 558 (1954).

Birkebak, R. C.

R. C. Birkebak and E. R. G. Eckert, J. Heat Transfer 87, 85 (1965).

Blet-Talbot, Dhetty

Dhetty Blet-Talbot, Rev. Opt. 34, 579 (1955).

Dimitroff, J. M.

J. A. Jacquez, W. McKeehan, J. Huss, J. M. Dimitroff, and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 781 (1955).

Dunkle, R. V.

J. T. Gier, R. V. Dunkle, and J. T. Bevans, J. Opt. Soc. Am. 44, 558 (1954).

Eckert, E. R. G.

R. C. Birkebak and E. R. G. Eckert, J. Heat Transfer 87, 85 (1965).

Edwards, D. K.

D. K. Edwards, J. T. Gier, J. E. Nelson, and R. D. Roddick, J. Opt. Soc. Am. 51, 1279 (1961).

Gier, J. T.

D. K. Edwards, J. T. Gier, J. E. Nelson, and R. D. Roddick, J. Opt. Soc. Am. 51, 1279 (1961).

J. T. Gier, R. V. Dunkle, and J. T. Bevans, J. Opt. Soc. Am. 44, 558 (1954).

Huss, J.

J. A. Jacquez, W. McKeehan, J. Huss, J. M. Dimitroff, and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 781 (1955).

Jacquez, J. A.

J. A. Jacquez, W. McKeehan, J. Huss, J. M. Dimitroff, and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 781 (1955).

Kuppenheim, H. F.

J. A. Jacquez, W. McKeehan, J. Huss, J. M. Dimitroff, and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 781 (1955).

Mäder, F.

F. Mäder, Bull. Schweiz Electrotechn. Ver. 38, 632 (1947).

McKeehan, W.

J. A. Jacquez, W. McKeehan, J. Huss, J. M. Dimitroff, and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 781 (1955).

McNicholas, H. J.

H. J. McNicholas, J. Res. Natl. Bur. Std, 1, 29 (1928).

Middleton, W. E. K.

W. E. K. Middleton and C. L. Sanders, Illuminating Eng. 48, 254 (1953).

Nelson, J. E.

D. K. Edwards, J. T. Gier, J. E. Nelson, and R. D. Roddick, J. Opt. Soc. Am. 51, 1279 (1961).

Nicodemus, F. E.

F. E. Nicodemus, Appl. Opt. 4, 767 (1965).

Roddick, R. D.

D. K. Edwards, J. T. Gier, J. E. Nelson, and R. D. Roddick, J. Opt. Soc. Am. 51, 1279 (1961).

Sanders, C. L.

W. E. K. Middleton and C. L. Sanders, Illuminating Eng. 48, 254 (1953).

Sparrow, E. M.

K. E. Torrance and E. M. Sparrow, J. Heat Transfer 87, 283 (1965).

Tingwaldt, C. P.

C. P. Tingwaldt, Optik 9, 323 (1952).

Torrance, K. E.

K. E. Torrance and E. M. Sparrow, J. Heat Transfer 87, 283 (1965).

Other (11)

K. E. Torrance and E. M. Sparrow, J. Heat Transfer 87, 283 (1965).

R. C. Birkebak and E. R. G. Eckert, J. Heat Transfer 87, 85 (1965).

H. J. McNicholas, J. Res. Natl. Bur. Std, 1, 29 (1928).

F. E. Nicodemus, Appl. Opt. 4, 767 (1965).

D. K. Edwards, J. T. Gier, J. E. Nelson, and R. D. Roddick, J. Opt. Soc. Am. 51, 1279 (1961).

J. T. Gier, R. V. Dunkle, and J. T. Bevans, J. Opt. Soc. Am. 44, 558 (1954).

F. Mäder, Bull. Schweiz Electrotechn. Ver. 38, 632 (1947).

J. A. Jacquez, W. McKeehan, J. Huss, J. M. Dimitroff, and H. F. Kuppenheim, J. Opt. Soc. Am. 45, 781 (1955).

C. P. Tingwaldt, Optik 9, 323 (1952).

W. E. K. Middleton and C. L. Sanders, Illuminating Eng. 48, 254 (1953).

Dhetty Blet-Talbot, Rev. Opt. 34, 579 (1955).

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