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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 10 — Apr. 1, 2000
  • pp: 1561–1569

Slope Distribution of a Rough Surface Measured by Transmission Scattering and Polarization

Soe-Mie F. Nee, Randle V. Dewees, Tsu-Wei Nee, Linda F. Johnson, and Mark B. Moran  »View Author Affiliations


Applied Optics, Vol. 39, Issue 10, pp. 1561-1569 (2000)
http://dx.doi.org/10.1364/AO.39.001561


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Abstract

Transmission scattering from medium to air was used to measure the slope distribution of the rough plane surface of a transparent glass hemisphere. A facet model successfully explained the measured results of refraction, scattering, and polarization: Transmission scattering existed for incident angles greater than the critical angle, all measured curves for the normalized scattered intensity versus the facet slope angle for different detection directions overlapped, and the measured polarization of scattering was approximately constant for >99% of the facets. The slope distribution obtained by transmission scattering agrees with those of the surface profiles in the valid range of the profiler and can represent the slope distribution of the rough surface.

© 2000 Optical Society of America

OCIS Codes
(030.5770) Coherence and statistical optics : Roughness
(120.5710) Instrumentation, measurement, and metrology : Refraction
(120.5820) Instrumentation, measurement, and metrology : Scattering measurements
(260.5430) Physical optics : Polarization
(290.1990) Scattering : Diffusion
(290.5880) Scattering : Scattering, rough surfaces

Citation
Soe-Mie F. Nee, Randle V. Dewees, Tsu-Wei Nee, Linda F. Johnson, and Mark B. Moran, "Slope Distribution of a Rough Surface Measured by Transmission Scattering and Polarization," Appl. Opt. 39, 1561-1569 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-10-1561


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References

  1. P. Beckmann and A. Spizzichino, The Scattering of Electromagnetic Waves from Rough Surfaces (Pergamon, New York, 1963), Part I.
  2. J. M. Bennett and L. Mattsson, Introduction to Surface Roughness and Scattering (Optical Society of America, Washington, D.C., 1989).
  3. J. C. Stover, Optical Scattering: Measurement and Analysis (SPIE Optical Engineering Press, Bellingham, Wash., 1995).
  4. H. E. Bennett and J. O. Porteus, “Relation between surface roughness and specular reflectance at normal incidence,” J. Opt. Soc. Am. 51, 123–129 (1961).
  5. S. F. Nee and H. E. Bennett, “Characterization of optical blacks by infrared ellipsometry and reflectometry,” in Stray Radiation in Optical Systems, R. P. Breault, ed., Proc. SPIE 1331, 249–260 (1990).
  6. S.-M. F. Nee, “Ellipsometric view on reflection and scattering from optical blacks,” Appl. Opt. 31, 1549–1556 (1992).
  7. S. F. Nee, J. M. Bennett, and P. C. Archibald, “Reflection, scattering, and polarization from a very rough black surface,” in Optical Scattering: Applications, Measurement, and Theory II, J. C. Stover, ed., Proc. SPIE 1995, 202–212 (1993).
  8. E. Marx and T. V. Vorburger, “Direct and inverse problems for light scattered by rough surfaces,” Appl. Opt. 29, 3613–3626 (1990).
  9. L. Cao, T. V. Vorburger, A. G. Lieberman, and T. R. Lettieri, “Light scattering measurement of the rms slopes of rough surfaces,” Appl. Opt. 30, 3221–3227 (1991).
  10. E. Marx, B. Leridon, T. R. Lettieri, J. F. Song, and T. V. Vorburger, “Autocorrelation functions from optical scattering for one-dimensionally rough surfaces,” Appl. Opt. 32, 67–76 (1993).
  11. K. A. O’Donnell and E. R. Mendez, “Experimental study of scattering from characterized random surfaces,” J. Opt. Soc. Am. A 4, 1194–1205 (1987).
  12. H. E. Bennett, “Scattering characteristics of optical materials,” Opt. Eng. 17, 480–488 (1978).
  13. P. C. Archibald and H. E. Bennett, “Scattering from infrared missile domes,” Opt. Eng. 17, 647–649 (1978).
  14. M. Nieto-Vesperinas, J. A. Sánchez-Gil, A. J. Sant, and J. C. Dainty, “Light transmission from a randomly rough dielectric diffuser: theoretical and experimental results,” Opt. Lett. 15, 1261–1263 (1990).
  15. R. E. Luna, E. R. Mendez, J. Q. Lu, and Z. H. Gu, “Enhanced backscattering due to total internal reflection at a dielectric–air interface,” J. Mod. Opt. 42, 257–269 (1995).
  16. M. Sidran, “Broadband reflectance and emissivity of specular and rough water surface,” Appl. Opt. 20, 3176–3183 (1981).
  17. R. D. Chapman and G. B. Irani, “Errors in estimating slope spectra from wave images,” Appl. Opt. 20, 3645–3652 (1981).
  18. I. Wilf and Y. Manor, “Simulation of sea surface images in the infrared,” Appl. Opt. 23, 3174–3180 (1984).
  19. C. Cox and W. Munk, “Measurement of roughness of the sea surface from photographs of the Sun’s glitter,” J. Opt. Soc. Am. 44, 838–850 (1954).
  20. J. A. Shaw and J. H. Churnside, “Fractal laser glints from the ocean surface,” J. Opt. Soc. Am. A 14, 1144–1150 (1997).
  21. J. A. Shaw and J. H. Churnside, “Scanning-laser glint measurements of sea-surface slope statistics,” Appl. Opt. 36, 4202–4213 (1997).
  22. D. L. Jordan, G. D. Lewis, and E. Jakeman, “Emission polarization of roughened glass and aluminum surfaces,” Appl. Opt. 35, 3583–3590 (1996).
  23. B. van Ginneken, M. Stavrid, and J. J. Koenderink, “Diffuse and specular reflectance from rough surfaces,” Appl. Opt. 37, 130–139 (1998).
  24. S. F. Nee and T. W. Nee, “Polarization of scattering by rough surfaces,” in Scattering and Surface Roughness II, Z. Gu and A. Maradudin, eds., Proc. SPIE 3426, 169–180 (1998).
  25. W. J. Tropf, M. E. Thomas, and T. J. Harris, “Properties of crystals and glasses,” in Handbook of Optics, M. Bass ed. (McGraw-Hill, New York, 1995), p. 33.67, Table 23.
  26. J. E. Harvey and C. L. Vernold, “Transfer function characterization of scattering surfaces: revisited,” in Scattering and Surface Roughness, Z. Gu and A. Maradudin, eds., Proc. SPIE 3141, 113–127 (1997).
  27. J. E. Harvey, “Light-scattering characteristics of optical surfaces,” Ph.D. dissertation (University of Arizona, Tucson, Ariz., 1976).
  28. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977), p. 174.
  29. S.-M. F. Nee, “Error analysis of null ellipsometry with depolarization,” Appl. Opt. 38, 5388–5398 (1999).

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