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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 11 — Nov. 1, 1999
  • pp: 2713–2719

Scattering of light from a two-layer system with a rough surface

Raúl Garcı́a-Llamas, Luis Efraı́n Regalado, and Claude Amra  »View Author Affiliations


JOSA A, Vol. 16, Issue 11, pp. 2713-2719 (1999)
http://dx.doi.org/10.1364/JOSAA.16.002713


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Abstract

The scattered light from a two-layer system with a shallow, random, one-dimensional rough surface bounded by semi-infinite dissimilar optical media is calculated. The systems is composed of metallic and weak absorbent dielectric films between glass and vacuum. The dielectric constant and the thickness of the dielectric film are chosen in such a way that in the absence of roughness the system supports eight transverse magnetic (TM) guided modes, whose wave numbers are q1(TM)(λ), q2(TM)(λ),, q8(TM) (λ), or nine transverse electric (TE) guided modes, whose wave numbers are q1(TE)(λ), q2(TE)(λ),, q9(TE)(λ), at the wavelength λ. The Rayleigh hypothesis is used to obtain an integral equation relating the amplitudes of the reflected fields to the incident wave. The scattering integral is solved both by perturbation and numerically. Results are obtained by assuming a Gaussian roughness spectrum for the surface, and the formalism is applied to simulate the scattering from the system in the attenuated total reflection configuration, allowing the excitation of guided waves. The angular dependence of the scattering shows four peaks, in addition to the backscattering effect. The angular positions of these peaks are given by (2π/λ)n1 sinθk(t)=±qk(t), with k=7, 8 when t={p, TM} or k=8, 9, when t={s, TE}; they are also independent of the angle of incidence and are due to single-scattering effects.

© 1999 Optical Society of America

OCIS Codes
(030.5770) Coherence and statistical optics : Roughness
(230.7390) Optical devices : Waveguides, planar
(290.5880) Scattering : Scattering, rough surfaces
(310.2790) Thin films : Guided waves
(310.6860) Thin films : Thin films, optical properties

History
Original Manuscript: March 25, 1999
Revised Manuscript: June 16, 1999
Manuscript Accepted: June 18, 1999
Published: November 1, 1999

Citation
Raúl Garcı́a-Llamas, Luis Efraı́n Regalado, and Claude Amra, "Scattering of light from a two-layer system with a rough surface," J. Opt. Soc. Am. A 16, 2713-2719 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-11-2713


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References

  1. C. Amra, “Light scattering from multilayer optics. I. Tools of investigation,” J. Opt. Soc. Am. A 11, 197–210 (1994). [CrossRef]
  2. P. Bousquet, F. Flory, P. Roche, “Scattering from multilayer thin films: theory and experiments,” J. Opt. Soc. Am. 71, 1115–123 (1981). [CrossRef]
  3. O. Kienzle, J. Staub, T. Tschudi, “Light scattering from transparent substrate: theory and experiment,” Phys. Rev. B 50, 1848–1860 (1994). [CrossRef]
  4. J. M. Elson, “Multilayer-coated optics: guided-wave coupling and scattering by means of interface random roughness,” J. Opt. Soc. Am. A 12, 729–742 (1995). [CrossRef]
  5. A. R. McGurn, A. A. Maradudin, “An analogue of enhanced backscattering in the transmission of light through a thin-film with a randomly rough surface,” Opt. Commun. 72, 279–285 (1989). [CrossRef]
  6. J. A. Sánchez-Gil, A. A. Maradudin, Jun Q. Lu, V. D. Freilikher, “Transmission of electromagnetic waves through thin metal films with randomly rough surfaces,” Phys. Rev. B 51, 17100–17115 (1995). [CrossRef]
  7. J. A. Sánchez-Gil, A. A. Maradudin, Jun Q. Lu, V. D. Freilikher, M. Pustilnick, I. Yurkevich, “Scattering of electromagnetic wave from a bounded medium with a random surface,” Phys. Rev. B 50, 15353–15360 (1994). [CrossRef]
  8. J. A. Sánchez-Gil, A. A. Maradudin, Jun Q. Lu, V. D. Freilikher, I. Yurkevich, “Satellite peaks in the scattering of p-polarized light from a randomly rough film on a perfectly conducting substrate,” J. Mod. Opt. 43, 435–452 (1996). [CrossRef]
  9. A. Madrazo, A. A. Maradudin, “Numerical solutions of the reduced Rayleigh equation for the scattering of electromagnetic waves from rough dielectric films on perfectly conducting substrate,” Opt. Commun. 134, 251–263 (1997). [CrossRef]
  10. H. Ogura, Z. L. Wang, “Surface-plasmon mode on a random rough metal surface: enhanced backscattering and localization,” Phys. Rev. B 53, 10358–10371 (1996). [CrossRef]
  11. J. Q. Lu, A. A. Maradudin, T. Michel, “Enhanced backscattering from a rough dielectric film on a reflecting substrate,” J. Opt. Soc. Am. B 8, 311–318 (1991). [CrossRef]
  12. R. Garcı́a-Llamas, “Scattering of electromagnetic plane waves from a rough periodic multilayer film,” J. Opt. Soc. Am. B 11, 618–623 (1994). [CrossRef]
  13. R. Garcı́a-Llamas, L. E. Regalado, “Effects of rough interface in a multilayer stack,” in Optical Interference Coatings, F. Abelés, ed., Proc. SPIE2253, 1298–1312 (1994). [CrossRef]
  14. R. Garcı́a-Llamas, L. E. Regalado, “Transmitted scattered light from a thin film with shallow random rough interfaces,” Appl. Opt. 35, 5595–5599 (1996). [CrossRef]
  15. R. Garcı́a-Llamas, L. E. Regalado, “Scattering of light from a thin metallic film with a shallow random rough surface between dissimilar media. I. Theory,” Opt. Commun. 142, 167–172 (1997). [CrossRef]

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