The geometric optics approximation for reflection from two-dimensional random rough surfaces

International Journal of Heat and Mass Transfer

Volumn 41, Issue 13, 1998, Pages 2037-2047

  Tang, Kakuen ^a   Buckius, Richard O ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIELECTRIC MATERIALS; ELECTROMAGNETIC FIELD THEORY; LIGHT REFLECTION; LIGHT SCATTERING; RANDOM PROCESSES; SURFACE ROUGHNESS;

TWO-DIMENSIONAL RANDOM ROUGH SURFACES;

GEOMETRICAL OPTICS;

EID: 0032108513     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(97)00227-5     Document Type: Article

References (47)

1. Nieto-Vesperinas, M. and Sanchez-Gil, J. A., Light scattering from a random rough interface with total internal reflection. Journal of the Optical Society of America A, 1992, 9, 424-436.
2. Nieto-Vesperinas, M. and Sanchez-Gil, J. A., Light transmission from a randomly rough dielectric diffuser: theoretical and experimental results. Optical Letters, 1990, 15, 1261-1263.
3. Maradudin, A. A., Michel, T., McGurn, A. R. and Mendez, E. R., Enhanced backscattering of light from a random grating. Annals of Physics, 1990, 203, 255-307.
4. Celli, V., Maradudin, A. A., Marvin, A. M. and McGurn, A. R., Some aspects of light scattering from a randomly rough metal surface. Journal of the Optical Society of America A, 1985, 2, 2225-2239.
5. Soto-Crespo, J. M. and Nieto-Vesperinas, M., Electromagnetic scattering from very rough random surfaces and deep reflection gratings. Journal of the Optical Society of America A, 1989, 6, 367-384.
6. Maradudin, A. A., Mendez, E. R. and Michel, T., Backscattering effects in the elastic scattering of p-polarized light from a large-amplitude random metallic grating. Optical Letters, 1989, 14, 151-153.
7. Sanchez-Gil, J. A. and Nieto-Vesperinas, M., Light scattering from random dielectric surfaces. Journal of the Optical Society of America A, 1991, 8, 1270-1286.
8. Dimenna, R. A. and Buckius, R. O., Electromagnetic theory predictions of the directional scattering from triangular surfaces. ASME Journal of Heat Transfer, 1994, 116, 639-645.
9. Dimenna, R. A. and Buckius, R. O., Microgeometrical contour contributions to surface scattering. Thermal Science and Engineering, 1994, 2, 166-171.
10. McGurn, A. P. and Maradudin, A. A., An analogue of enhanced backscattering in the transmission of light through a thin film with a randomly rough surface. Optical Communications, 1989, 72, 279-285.
11. Gu, Z. H., Lu, J. Q., Martinez, A., Mendez, E. R. and Maradudin, A. A., Enhanced backscattering from a one-dimensional rough dielectric film on a glass substrate. Optical Letters, 1994, 19, 604-606.
12. Gu, Z. H., Lu, J. Q., Maradudin, A. A. and Martinez, A., Enhanced backscattering from a free-standing dielectric film. Applied Optics, 1995, 34, 3529-3534.
13. Maradudin, A. A., Lu, J. Q., Michel, T., Gu, Z. H., Dainty, J. C., Sant, A. J., Mendez, E. R. and Nieto-Vesperinas, M., Enhanced backscattering and transmission of light from random surfaces on semi-infinite substrates in thin films. Waves in Random Media, 1991, 3, S129-S141.
14. Phu, P., Ishimaru, A. and Kuga, Y., Copolarized and cross-polarized enhanced backscattering from two-dimensional very rough surfaces at millimeter waves frequencies. Radio Science, 1994, 29, 1275-1291.
15. Dimenna, R. A. and Buckius, R. O., Quantifying specular approximations for angular scattering from perfectly conducting random rough surfaces. Journal of Thermophysics and Heat Transfer, 1994, 8, 393-399.
16. Tang, K., Dimenna, R. A. and Buckius, R. O., Regions of validity of the geometric optics approximation for angular scattering from very rough surfaces. International Journal of Heat and Mass Transfer, 1997, 40, 49-59.
17. Tran, P. and Maradudin, A. A., The scattering of electromagnetic waves from a randomly rough 2D metallic surface. Optical Communications, 1994, 110, 269-273.
18. Macaskill, C. and Kachoyan, B. J., Iterative approach for the numerical simulation of scattering from one-and two-dimensional rough surfaces. Applied Optics, 1993, 32, 2839-2847.
19. Tsang, L., Chan, C. H. and Pak, K., Backscattering enhancement of a two-dimensional random rough surface (three-dimensional scattering) based on Monte Carlo simulations. Journal of the Optical Society of America A, 1994, 11, 711-715.
20. Pak, K., Tsang, L., Chan, C. H. and Johnson, J., Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces based on Monte Carlo simulations. Journal of the Optical Society of America A, 1995, 12, 2491-2499.
21. Johnson, J., Tsang, L., Shin, R. T., Pak, K., Chan, C. H., Ishimaru, A. and Kuga, Y., Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces: a comparison of Monte Carlo simulations with experimental data. IEEE Transactions in Antennas and Propagation, 1996, 44, 748-755.
22. Tran, P., Celli, V. and Maraducin, A. A., Electromagnetic scattering from two-dimensional randomly rough, perfectly conducting surfaces : iterative methods. Journal of the Optical Society of America A, 1994, 11, 1686-1689.
23. Tran, P. and Maradudin, A. A., Scattering of a scalar beam from a two-dimensional randomly rough hard wall: Dirichlet and Neumann boundary conditions. Applied Optics, 1993, 32, 2848-2851.
24. Beckmann, P. and Spizzichino, A., The Scattering of Electromagnetic Waves from Rough Surfaces. Pergamon, 1963.
25. Thorsos, E., The validity of the Kirchhoff approximation for rough surface scattering using Gaussian roughness spectrum. Journal of the Acoustical Society of America, 1988, 83, 78-92.
26. Chen, M. F. and Fund, A. K., A numerical study of the regions of validity of the Kirchhoff and small-perturbation rough surface scattering models. Radio Science, 1988, 23, 163-170.
27. McCammon, D. F. and McDaniel, S. T., Surface reflection: on the convergence of a series solution to a modified Helmholtz integral equation and the validity of the Kirchhoff approximation. Journal of the Optical Society of America A, 1986, 79, 64-70.
28. Liszka, E. G. and McCoy, J. J., Scattering at a rough boundary-extensions of the Kirchhoff approximation. Journal of the Acoustical Society of America A, 1982, 71, 1093-1100.
29. Wirgin, A., Reflection from a corrugated surface. Journal of the Acoustical Society of America, 1980, 68, 692-699.
30. He, X. D., Torrance, K. E., Sillion, F. X. and Greenberg, D. P., A comprehensive physical model for light reflection. Computer Graphics, 1992, 25, 175-186.
31. Torrance, K. E. and Sparrow, E. M., Theory for off-specular reflection from roughened surfaces. Journal of the Optical Society oj America A, 1967, 57, 1105-1114.
32. Smith, A. M., Muller, P. R., Frost, W. and Hsia, H. M., Super-and subspecular maxima in the angular distribution of polarized radiation reflected from roughened dielectric surfaces. Progress Astronautics and Aeronautics: Heat Transfer and Spacecraft Thermal Control, ed. J. Lucas. AIAA, New York, 1971, pp. 249-269.
33. Ford, J. N., Tang, K. and Buckius, R. O., Fourier Transform Infrared system measurements of the bi-directional reflectivity of diffuse and grooved surfaces. ASME Journal of Heat Transfer, 1995, 117, 995-962.
34. Arnold, C. B. and Beard, J. L., An ERIM perspective on BRDF measurement technology. Proceedings SPIE, 1989, 1165, 112-135.
35. Dereniak, E. L., Stuhlinger, T. W. and Bartell, F. O., Bi-directional reflectance distribution function of goldplated sandpaper. Proceedings SPIE, 1980, 257, 184-191.
36. Knotts, M. E. and O'Donnell, K. A., Measurements of light scattering by a series of conducting surfaces with one-dimensional roughness. Journal of the Optical Society of America A, 1994, 11, 697-710.
37. Smith, T. F., Suiter, R. L. and Kanayama, K., Bi-directional reflectance measurements for one-dimensional, randomly rough surfaces. Progress in Astronautics and Aeronautics: Heat Transfer, Thermal Control, and Heat Pipes, ed. W. Olstead. AIAA, New York, 1980, pp. 189-208.
38. Gu, Z. H., Dummer, R. S., Maradudin, A. A. and McGurn, A., Experimental study of the opposition effect in the scattering of light from a randomly rough metals surface. Applied Optics, 1989, 28, 537-543.
39. Phu, P., Ishimaru, A. and Kuga, Y., Controlled millimeter-wave experiments and numerical simulations on the enhanced backscattering from one-dimensional very rough surface. Radio Science, 1993, 28, 533-548.
40. Haner, D. A. and Menzies, R. T., Reflectance characteristics of reference materials used in lidar hard target calibration. Applied Optics, 1989, 28, 857-864.
41. O'Donnell, K. A. and Mendez, E. R., Experimental study of scattering from characterized random surfaces. Journal of the Optical Society of America A, 1987, 4, 1194-1205.
42. Gray, P. F., A method of forming optical diffusers of simple known statistical properties. Optical Acta, 1978, 25, 765-775.
43. Chan, T. K., Kuga, Y., Ishimaru, A. and Le, C. T. C., Experimental studies of bistatic scattering from two-dimensional conducting random rough surfaces. IEEE Transactions in Geoscience Remote Sensing, 1996, 34, 674-680.
44. Brewster, M. Q., Thermal Radiative Transfer and Properties, 1st edn. John Wiley and Sons, New York, 1992.
45. Modest, M. F., Radiative Heat Transfer. McGraw-Hill, New York, 1993.
46. Cohn, D. W., Tang, K. and Buckius, R. O., Comparison of theory and experiments for reflection from microcontoured surfaces. International Journal of Heat and Mass Transfer, 1997, 40, 3223-3235.
47. TMA, Inc., Bi-directional reflectivity data for Spectralon™ and Infragold™ samples, Bozeman, MT, 1994.