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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 22, Iss. 24 — Dec. 15, 1983
  • pp: 4155–4165

Pseudo-Brewster and second-Brewster angles of an absorbing substrate coated by a transparent thin film

R. M. A. Azzam and T. F. Thonn  »View Author Affiliations


Applied Optics, Vol. 22, Issue 24, pp. 4155-4165 (1983)
http://dx.doi.org/10.1364/AO.22.004155


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Abstract

The pseudo-Brewster angle of minimum reflectance for the p polarization, the corresponding angle for the s polarization, and the second-Brewster angle of minimum ratio of the p and s reflectances are all determined as functions of the thickness of a transparent film coating an absorbing substrate by numerical solution of the exact equations that govern such angles of the form Re(Z′/Z) = 0, where Z = Rp, Rs, or ρ represent the complex amplitude-reflection coefficients for the p and s polarizations and their ratio (ρ = Rp/Rs), respectively, and Z′ is the angle-of-incidence derivative of Z. Results that show these angles and their associated reflectance and reflectance-ratio minima are presented for the SiO2–Si film–substrate system at wavelength λ = 0.6328 μm and film thickness of up to four periods (≃1.2 μm). Applications of these results are proposed in film-thickness measurement and control.

© 1983 Optical Society of America

History
Original Manuscript: August 9, 1983
Published: December 15, 1983

Citation
R. M. A. Azzam and T. F. Thonn, "Pseudo-Brewster and second-Brewster angles of an absorbing substrate coated by a transparent thin film," Appl. Opt. 22, 4155-4165 (1983)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-22-24-4155

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