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Applied Optics

Applied Optics


  • Vol. 38, Iss. 19 — Jul. 1, 1999
  • pp: 4164–4171

Shadow-angle method for anisotropic and weakly absorbing films

Gregory Surdutovich, Ritta Vitlina, and Vitor Baranauskas  »View Author Affiliations

Applied Optics, Vol. 38, Issue 19, pp. 4164-4171 (1999)

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A method for determining the optical properties of a film on an isotropic substrate is proposed. The method is based on the existence of two specific incidence angles in the angular interference pattern of the p-polarized light where oscillations of the reflection coefficient cease. The first of these angles, θ B1, is the well-known Abelès angle, i.e., the ambient–film Brewster angle, and the second angle θ B2 is the film–substrate Brewster angle. In the conventional planar geometry and in a vacuum ambient there is a rigorous constraint ε1 + ε > ε1ε on the film and the substrate dielectric permittivities ε1 and ε, respectively, for the existence of the second angle θ B2. The limitation may be removed in an experiment by use of a cylindrical lens as an ambient with ε0 > 1, so that both angles become observable. This, contrary to general belief, allows one to adopt the conventional Abelès method not only for films with ε1 close to the substrate’s value ε but also for any value of ε1. The method, when applied to a wedge-shaped film or to any film of unknown variable thickness, permits one to determine (i) the refractive index of a film on an unknown substrate, (ii) the vertical and the horizontal optical anisotropies of a film on an isotropic substrate, (iii) the weak absorption of a moderately thick film on a transparent or an absorbing isotropic substrate.

© 1999 Optical Society of America

OCIS Codes
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(120.5700) Instrumentation, measurement, and metrology : Reflection
(260.5430) Physical optics : Polarization

Original Manuscript: December 4, 1998
Revised Manuscript: March 23, 1999
Published: July 1, 1999

Gregory Surdutovich, Ritta Vitlina, and Vitor Baranauskas, "Shadow-angle method for anisotropic and weakly absorbing films," Appl. Opt. 38, 4164-4171 (1999)

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