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Optical estimation of statistics of surface roughness from light scattering measurements

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Abstract

The relations between surface statistics and the near- and far-field scattered light statistics are surveyed, mainly using scalar diffraction theory. The methods which have been proposed and used are grouped and described according to whether they operate in the near-field or the far-field and whether they use monochromatic or polychromatic light. Several methods emerge as promising for practical application to non-contacting and non-destructive testing.

Deterministic methods such as interference microscopy are not discussed.

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References

  1. P. Beckmann in ‘The scattering of electromagnetic waves from rough surfaces’ edited by P. Beckmann and A. Spizzichino (Pergamon, London, 1963).

    Google Scholar 

  2. Idem, Prog. Opt. 6 (1967) 55–69.

    Google Scholar 

  3. J. M. Bennett,Appl. Opt. 15 (1976) 2705–21.

    Google Scholar 

  4. J. A. Ratcliffe,Rep. Prog. Phys. 19 (1956) 188–267.

    Google Scholar 

  5. M. E. Barnett andW. T. Welford,Optik 46 (1976) 27–32.

    Google Scholar 

  6. P. J. Chandley andW. T. Welford (1975),Opt. Quant. Elect. 7 (1975) 393–7.

    Google Scholar 

  7. E. N. Bramley,Proc. Royal Soc. A225 (1954) 515–8.

    Google Scholar 

  8. Idem, Proc. IEE 102B (1955) 533–40.

    Google Scholar 

  9. P. J. Chandley,Opt. Quant. Elec. 8 (1976) 329–33.

    Google Scholar 

  10. J. Eastman andP. Baumeister,Opt. Commun. 12 (1974) 418–20.

    Google Scholar 

  11. P. Beckmann,IEEE Trans. AP-21 (1973) 169–75.

    Google Scholar 

  12. M. G. Miller, A. M. Schneidermann andP. F. Kellen,J. Opt. Soc. Amer. 65 (1975) 779–85.

    Google Scholar 

  13. R. B. Crane,J. Opt. Soc. Amer. 60 (1970) 1658–63.

    Google Scholar 

  14. E. Jakeman andP. N. Pusey,J. Phys. A6 (1973) L88.

    Google Scholar 

  15. Idem, Phys. Lett. 44A (1973) 456–8.

    Google Scholar 

  16. Idem, J. Phys. A8 (1975) 369–391; 392–410.

    Google Scholar 

  17. E. Jakeman (1974) in ‘Photon correlation and light beating spectroscopy’, edited by H. Z. Cummins and E. R. Pike (New York, Plenum Press, 1974).

    Google Scholar 

  18. H. M. Pedersen,Opt. Commun. 12 (1974) 156–9.

    Google Scholar 

  19. Idem, Optica Acta 22 (1975) 523–35.

    Google Scholar 

  20. Idem, Opt. Commun. 16 (1976) 63–7.

    Google Scholar 

  21. J. C. Leader,J. Appl. Phys. 42 (1971) 4808–16.

    Google Scholar 

  22. E. Kretschmann,Opt. Commun. 10 (1974) 353–6.

    Google Scholar 

  23. E. Kretschmann andE. Kröger J. Opt. Soc. Amer. 65 (1975) 150–4.

    Google Scholar 

  24. J. Bodesheimer andA. Otto,Surf. Sci. 45 (1974) 441–56.

    Google Scholar 

  25. G. S. Agarwal,Opt. Commun. 14 (1975) 161–6.

    Google Scholar 

  26. J. C. Dainty,Optica Acta 17 (1970) 761–72.

    Google Scholar 

  27. M. Von Laue,Sitzungsberichte Akad. Wiss. (Berlin) 44 (1914) 1144.

    Google Scholar 

  28. J. W. Goodman, in ‘Laser speckle and related phenomena’, edited by J. C. Dainty (Berlin, New York: Springer-Verlag, 1975), p. 9–75.

    Google Scholar 

  29. T. S. Mckechnie,Optik 39 (1974) 258–67.

    Google Scholar 

  30. W. T. Welford,Opt. Quant. Elec. 7 (1975) 413.-6.

    Google Scholar 

  31. J. Westbury (1968),Proc. I. Mech. E. 182 (1968) part 3K, 260–73.

    Google Scholar 

  32. H. E. Bennett andJ. O. Porteous,J. Opt. Soc. Amer. 51 (1961) 123–9.

    Google Scholar 

  33. H. Davies,Proc. IEE 101 (1954) 209–214.

    Google Scholar 

  34. A. F. Houchens andR. G. Hering,Prog. Astronaut. Aeronaut. 20 (1967) 65–89.

    Google Scholar 

  35. N. Takai,Opt. Commun. 14 (1975) 24–9.

    Google Scholar 

  36. F. Berny andC. Imbert,Bull. Nat. De Métrologie 4 (1973) 14–9.

    Google Scholar 

  37. O. Dupuy Proc. I. Mech. E. 182 (1968) part 3K, 255–9.

    Google Scholar 

  38. B. P. Hildebrand, R. L. Gordon andE. V. Allen,Appl. Opt. 13 (1974) 177–80.

    Google Scholar 

  39. D. D. Hensler,ibid. 11 (1972) 2521–8.

    Google Scholar 

  40. R. C. Birkebak,ibid 10 (1971) 1970.

    Google Scholar 

  41. P. J. Chandley,Opt. Quant. Elect. 8 (1976) 323–7.

    Google Scholar 

  42. L. H. Tanner,Opt. Laser Tech. 8 (1976) 113–6.

    Google Scholar 

  43. L. H. Tanner andM. Fahoum,Wear 36 (1976) 299–316.

    Google Scholar 

  44. H. Fujii, T. Asakura andY. Shindo,Opt. Commun. 16 (1976) 68–72.

    Google Scholar 

  45. E. Garcia, H. Stark andR. C. Barker,Appl. Opt. 11 (1972) 1480–90.

    Google Scholar 

  46. A. Maréchal,Optica Acta 5 (1958) 70–4.

    Google Scholar 

  47. M. Born andE. Wolf, ‘Principles of Optics’ (Pergamon, London and New York, 1975).

    Google Scholar 

  48. H. Fujii andT. Asakura,Opt. Commun. 11 (1974) 35–8.

    Google Scholar 

  49. J. Ohtsubo andT. Asakura,ibid 14 (1975) 30–4.

    Google Scholar 

  50. R. A. Sprague,Appl. Opt. 11 (1972) 2811–6.

    Google Scholar 

  51. H. Fujii andT. Asakura,Opt. Commun. 12 (1974) 32–8.

    Google Scholar 

  52. J. W. Goodman,ibid 14 (1975) 324–7.

    Google Scholar 

  53. W. B. Ribbens,Appl. Opt. 11 (1972) 807–10.

    Google Scholar 

  54. Y. Dzialowski andM. May,Opt. Commun. 16 (1976) 334–6.

    Google Scholar 

  55. J. W. Goodman,Stanford Electronics Lab. Tech. Report No. 2303-1 (1963).

  56. G. Parry,Optica Acta 21 (1974) 763–72.

    Google Scholar 

  57. N. George andA. Jain,Appl. Phys. 4 (1974) 201–12.

    Google Scholar 

  58. G. Parry,Opt. Commun. 12 (1974) 75–8.

    Google Scholar 

  59. Idem, Opt. Quant. Elect. 7 (1975) 311–8.

    Google Scholar 

  60. G. Tribillon,Opt. Commun. 11 (1974) 172–4.

    Google Scholar 

  61. W. B. Ribbens,Appl. Opt. 13 (1974) 1085–8.

    Google Scholar 

  62. G. Parry, Ph.D. Thesis, University of London (1975).

  63. N. George,Opt. Commun. 16 (1976) 328–33.

    Google Scholar 

  64. A. Jain,Appl. Phys. Letters 28 (1976) 451–3.

    Google Scholar 

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Welford, W.T. Optical estimation of statistics of surface roughness from light scattering measurements. Opt Quant Electron 9, 269–287 (1977). https://doi.org/10.1007/BF00619527

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