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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

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

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)

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