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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

  • Editor: Franco Gori
  • Vol. 28, Iss. 6 — Jun. 1, 2011
  • pp: 1256–1261

Principal angles and principal azimuths of frustrated total internal reflection and optical tunneling by an embedded low-index thin film

R. M. A. Azzam and F. F. Sudradjat  »View Author Affiliations


JOSA A, Vol. 28, Issue 6, pp. 1256-1261 (2011)
http://dx.doi.org/10.1364/JOSAA.28.001256


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Abstract

The condition for obtaining a differential (or ellipsometric) quarter-wave retardation when p- and s-polarized light of wavelength λ experience frustrated total internal reflection (FTIR) and optical tunneling at angles of incidence ϕ the critical angle by a transparent thin film (medium 1) of low refractive index n 1 and uniform thickness d, which is embedded in a transparent bulk medium 0 of high refractive index n 0 takes the simple form: tanh 2 x = tan δ p tan δ s , in which x = 2 π n 1 ( d / λ ) ( N 2 sin 2 ϕ 1 ) 1 / 2 , N = n 0 / n 1 , and δ p , δ s are 01 interface Fresnel reflection phase shifts for the p and s polarizations. From this condition, the ranges of the principal angle and normalized film thickness d / λ are obtained explicitly. At a given principal angle, the associated principal azimuths ψ r , ψ t in reflection and transmission are determined by tan 2 ψ r = sin 2 δ s / sin 2 δ p and tan 2 ψ t = tan δ p / tan δ s , respectively. At a unique principal angle ϕ e given by sin 2 ϕ e = 2 / ( N 2 + 1 ) , ψ r = ψ t = 45 ° and linear-to-circular polarization conversion is achieved upon FTIR and optical tunneling simultaneously. The intensity transmittances of p- and s-polarized light at any principal angle are given by τ p = tan δ p / tan ( δ p δ s ) and τ s = tan δ s / tan ( δ p δ s ) , respectively. The efficiency of linear-to-circular polarization conversion in optical tunneling is maximum at ϕ e .

© 2011 Optical Society of America

OCIS Codes
(240.0310) Optics at surfaces : Thin films
(240.7040) Optics at surfaces : Tunneling
(260.2130) Physical optics : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization
(260.6970) Physical optics : Total internal reflection
(310.6860) Thin films : Thin films, optical properties

ToC Category:
Optics at Surfaces

History
Original Manuscript: March 16, 2011
Manuscript Accepted: April 13, 2011
Published: May 27, 2011

Citation
R. M. A. Azzam and F. F. Sudradjat, "Principal angles and principal azimuths of frustrated total internal reflection and optical tunneling by an embedded low-index thin film," J. Opt. Soc. Am. A 28, 1256-1261 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-6-1256

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