OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 1 — Jan. 1, 1998
  • pp: 185–195

Scattering of light from a rough dielectric film on a reflecting substrate: diffuse fringes

Jun Q. Lu, José A. Sánchez-Gil, E. R. Méndez, Zu-Han Gu, and A. A. Maradudin  »View Author Affiliations


JOSA A, Vol. 15, Issue 1, pp. 185-195 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000185


View Full Text Article

Enhanced HTML    Acrobat PDF (10484 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The scattering of light from a one-dimensional randomly rough dielectric film deposited on a flat reflecting substrate is studied by means of a small-amplitude perturbation theory and rigorous numerical simulations. In particular, we study the appearance of well-defined fringes in the angular distribution of the diffusely scattered intensity and their dependence on the angle of incidence, the roughness of the film, and the film’s mean thickness. We find that, for slightly rough films, the angle of incidence modulates the intensity of the fringes but has no effect on their angular position. For rougher films the contrast of the pattern decreases, and the fringes move with the angle of incidence in such a way that there are always bright fringes in the specular and backscattering directions. Eventually, for very rough films, the fringe pattern disappears, and a well-defined backscattering peak emerges in the retroreflection direction.

© 1998 Optical Society of America

OCIS Codes
(240.5770) Optics at surfaces : Roughness
(290.5880) Scattering : Scattering, rough surfaces

Citation
Jun Q. Lu, José A. Sánchez-Gil, E. R. Méndez, Zu-Han Gu, and A. A. Maradudin, "Scattering of light from a rough dielectric film on a reflecting substrate: diffuse fringes," J. Opt. Soc. Am. A 15, 185-195 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-1-185


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. Sir Isaac Newton, Opticks (originally published in London, 1704; new edition by Dover, New York, 1952), pp. 289 ff.
  2. T. Young, “The Bakerian lecture. On the theory of light and colours,” Philos. Trans. R. Soc. London Part I 12–48, (1802).
  3. Sir John Herschel, On the Theory of Light (Encyclopedia Metropolitana, London, 1828), Art. 676.
  4. L. Schläfli, “Ueber eine durch zerstreutes Licht bewirkte Interferenzerscheinung,” Mitt. Natureforsch. Ges. (Bern) Nos. 131–132, 177–183 (1848).
  5. Sir George Stokes, “On the colours of thick plates,” Trans. Cambridge Philos. Soc. 9, Part 2, 147–176 (1851).
  6. C. Exner, “Ueber die durch zahlreiche, unregelmaessig vertheilte Koerperchen hervorgebrachten Beugungserscheinung,” Sitzungsber. K. Preuss. Akad. Wiss. 90, Abt. II, 827–879 (1884).
  7. E. Lommel, “Ueber die Newtow’schen Staubringe,” Ann. Phys. Chem. N. F. 8, No. 10, 193–244 (1879).
  8. P. Selényi, “Über Lichtzerstreuung im Raume Wienerscher Interferenzen und neue, diesen reziproke Interferenzerscheinungen,” Ann. Phys. Chem. 35, 440–460 (1911).
  9. C. V. Raman and G. L. Datta, “On Quételet’s rings and other allied phenomena,” Philos. Mag. 42, 826–840 (1921). [CrossRef]
  10. C. F. Meyer, The Diffraction of Light, X-rays, and Material Particles (Edwards, Ann Arbor, Mich., 1949), p. 244.
  11. R. W. Pohl, Optik und Atomphysik (Springer-Verlag, Berlin, 1954), p. 82.
  12. A. J. de Witte, “Interference in scattered light,” Am. J. Phys. 35, 301–313 (1967). [CrossRef]
  13. M. Françon, “Information processing using speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, New York, 1984).
  14. J. M. Elson, J. P. Rahn, and J. M. Bennett, “Light scattering from multilayer optics: comparisons of theory and experiment,” Appl. Opt. 19, 669–679 (1980). [CrossRef] [PubMed]
  15. A. Duparré and S. Kassam, “Relation between light scattering and the microstructure of optical thin films,” Appl. Opt. 32, 5475–5480 (1993). [CrossRef] [PubMed]
  16. C. Amra, “From light scattering to the microstructure of thin film multilayers,” Appl. Opt. 32, 5481–5491 (1993). [CrossRef] [PubMed]
  17. R. García-Llamas and L. E. Regalado, “Transmitted scattered light from a thin film with shallow rough interfaces,” Appl. Opt. 35, 5595–5599 (1996). [CrossRef]
  18. J. A. Sánchez-Gil, A. A. Maradudin, Jun Q. Lu, V. D Freilikher, M. Pustilnik, and I. Yurkevich, “Scattering of electromagnetic waves from a bounded medium with a random surface,” Phys. Rev. B 50, 15353–15368 (1994). [CrossRef]
  19. J. A. Sánchez-Gil, A. A. Maradudin, Jun Q. Lu, and V. D. Freilikher, “Satellite peaks in the p-polarized light scattered from a randomly rough film on a perfectly conducting substrate,” J. Mod. Opt. 43, 435–452 (1996). [CrossRef]
  20. J. Q. Lu, A. A. Maradudin, and T. R. Michel, “Enhanced backscattering from a rough dielectric film on a reflecting substrate,” J. Opt. Soc. Am. B 8, 311–318 (1991). [CrossRef]
  21. Y. Kuga and A. Ishimaru, “Retroreflectance from a dense distribution of spherical particles,” J. Opt. Soc. Am. A 1, 831–835 (1984). [CrossRef]
  22. L. Tsang and A. Ishimaru, “Backscattering enhancement of random discrete scatterers,” J. Opt. Soc. Am. A 1, 836–839 (1984). [CrossRef]
  23. A. R. McGurn, A. A. Maradudin, and V. Celli, “Localization effects in the scattering of light from a randomly rough grating,” Phys. Rev. B 31, 4866–4871 (1985). [CrossRef]
  24. E. R. Méndez and K. A. O’Donnell, “Observation of depolarization and backscattering enhancement in light scattering from Gaussian random surfaces,” Opt. Commun. 61, 91–95 (1987). [CrossRef]
  25. M. Nieto-Vesperinas and J. M. Soto-Crespo, “Monte Carlo simulations for scattering of electromagnetic waves from perfectly conductive random rough surfaces,” Opt. Lett. 12, 979–981 (1987). [CrossRef] [PubMed]
  26. E. Jakeman, “Enhanced backscattering through a deep random phase screen,” J. Opt. Soc. Am. A 5, 1638–1648 (1988). [CrossRef]
  27. A. A. Maradudin, E. R. Méndez, and T. Michel, “Backscattering effects in the elastic scattering of p-polarized light from a large amplitude random metallic grating,” Opt. Lett. 14, 151–153 (1989). [CrossRef]
  28. See, for example, E. Hecht and A. Zajac, Optics (Addison-Wesley, Reading, Mass., 1974), p. 294.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited