Abstract

A new ray model is presented for the reflection of electromagnetic radiation from the rough air-material interface of a randomly rough surface. Unlike previous derivations that modeled the rough interface as consisting of microareas randomly oriented but flat (facets), this derivation models it as consisting of microareas not only randomly oriented but also randomly curved. Physically, the models are the same, but this new derivation leads to some new results. (1) For any given rough surface, there exists a single, optically smooth, curved surface of revolution of very restricted shape that will reflect radiation in the same distribution as that reflected by the rough interface. (2) Modeling that surface as an ellipsoid of revolution gives a surface-structure function that appears more accurate and useful than existing ones. (3) Unlike the facet derivations, this derivation lends itself to a normalization that gives the absolute, instead of just a comparative, reflectance-distribution function.

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Barkas, W. W.

W. W. Barkas, Proc. Phys. Soc. (Lond.) 51, 274 (1939).

Beckmann, P.

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963), p.88.

Berry, E. M.

E. M. Berry, J. Opt. Soc. Am. 7, 627 (1923).

Bouguer, P.

P. Bouguer, Histoire de l'Academie Royale des sciences, Paris, 1757, (1762); and Traite d'optique sur la gradation de la muniere (Ouvrage posthume de M. Bouguer). (l'Abbe de Lacaille, Paris, 1760).

Christie, A. W.

A. W. Christie, J. Opt. Soc. Am. 43, 621 (1953).

Jones, R. C.

R. C. Jones, in Appendix to Spiro, Jones, and Wark, Infrared Phys. 5, 11 (1965).

Judd, D. B.

D. B. Judd, J. Opt. Soc. Am. 57, 445 (1967).

Middleton, W. E. K.

W. E. K. Middleton and A. G. Mungall, J. Opt. Soc. Am. 42, 572 (1952).

Mungall, A. G.

W. E. K. Middleton and A. G. Mungall, J. Opt. Soc. Am. 42, 572 (1952).

Nicodemus, F. E.

F. E. Nicodemus, private communication.

F. E. Nicodemus, Appl. Opt. 9, 1474 (1970).

Planck, Max

Max Planck, The Theory of Heat Radiation (Dover, New York, 1959).

Pokrowski, G. I.

G. I. Pokrowski, Z. Physik 30, 66 (1924).

G. I. Pokrowski, Z. Physik 36, 472 (1926).

Rense, W. A.

W. A. Rense, J. Opt. Soc. Am. 40, 55 (1950).

Richmond, J. C.

J. C. Richmond, J. Opt. Soc. Am. 56, 253 (1966).

Schulz, H.

H. Schulz, Z. Physik 31, 496 (1925).

Sirohi, R. S.

R. S. Sirohi, J. Phys. D 3, 1407 (1970).

Sparrow, E. M.

K. E. Torrance and E. M. Sparrow, J. Opt. Soc. Am. 57, 1105 (1967).

Spizzichino, A.

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963), p.88.

Torrance, K. E.

K. E. Torrance and E. M. Sparrow, J. Opt. Soc. Am. 57, 1105 (1967).

Umov, N. A.

N. A. Umov, Selected Works (State Publishers of Technical-Theoretical Literature, Moscow, 1950).

Other (19)

P. Bouguer, Histoire de l'Academie Royale des sciences, Paris, 1757, (1762); and Traite d'optique sur la gradation de la muniere (Ouvrage posthume de M. Bouguer). (l'Abbe de Lacaille, Paris, 1760).

G. I. Pokrowski, Z. Physik 30, 66 (1924).

W. E. K. Middleton and A. G. Mungall, J. Opt. Soc. Am. 42, 572 (1952).

H. Schulz, Z. Physik 31, 496 (1925).

J. C. Richmond, J. Opt. Soc. Am. 56, 253 (1966).

N. A. Umov, Selected Works (State Publishers of Technical-Theoretical Literature, Moscow, 1950).

E. M. Berry, J. Opt. Soc. Am. 7, 627 (1923).

G. I. Pokrowski, Z. Physik 36, 472 (1926).

W. W. Barkas, Proc. Phys. Soc. (Lond.) 51, 274 (1939).

A. W. Christie, J. Opt. Soc. Am. 43, 621 (1953).

K. E. Torrance and E. M. Sparrow, J. Opt. Soc. Am. 57, 1105 (1967).

W. A. Rense, J. Opt. Soc. Am. 40, 55 (1950).

R. S. Sirohi, J. Phys. D 3, 1407 (1970).

F. E. Nicodemus, private communication.

F. E. Nicodemus, Appl. Opt. 9, 1474 (1970).

Max Planck, The Theory of Heat Radiation (Dover, New York, 1959).

R. C. Jones, in Appendix to Spiro, Jones, and Wark, Infrared Phys. 5, 11 (1965).

P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Macmillan, New York, 1963), p.88.

D. B. Judd, J. Opt. Soc. Am. 57, 445 (1967).

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