OSA's Digital Library

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


View Full Text Article

Enhanced HTML    Acrobat PDF (451 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

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


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. B. Holl, “Specular reflection and characteristics of reflected light,” J. Opt. Soc. Am. 57, 683–690 (1967). [CrossRef]
  2. R. M. A. Azzam, “Contours of constant principal angle and constant principal azimuth in the complex ε plane,” J. Opt. Soc. Am. 71, 1523–1528 (1981). [CrossRef]
  3. R. M. A. Azzam and A. Alsamman, “Plurality of principal angles for a given pseudo-Brewster angle when polarized light is reflected at a dielectric-conductor interface,” J. Opt. Soc. Am. A 25, 2858–2864 (2008). [CrossRef]
  4. R. M. A. Azzam and A.-R. M. Zaghloul,“Principal angle, principal azimuth, and principal-angle ellipsometry of film-substrate systems,” J. Opt. Soc. Am. 67, 1058–1065 (1977). [CrossRef]
  5. R. M. A. Azzam, “Phase shifts in frustrated total internal reflection and optical tunneling by an embedded low-index thin film,” J. Opt. Soc. Am. A 23, 960–965 (2006). [CrossRef]
  6. R. M. A. Azzam and C. L. Spinu,“Linear-to-circular polarization transformation upon optical tunneling through an embedded low-index film,” Opt. Lett. 30, 3183–3185 (2005). [CrossRef] [PubMed]
  7. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, 1987).
  8. R. M. A. Azzam, “Phase shifts that accompany total internal reflection at a dielectric-dielectric interface,” J. Opt. Soc. Am. A 21, 1559–1563 (2004). [CrossRef]
  9. P. W. Baumeister, “Optical tunneling and its application to optical filters,” Appl. Opt. 6, 897–905 (1967). [CrossRef] [PubMed]
  10. R. W. Astheimer, G. Falbel, and S. Minkowitz, “Infrared modulation by means of frustrated total internal reflection,” Appl. Opt. 5, 87–91 (1966). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1 Fig. 2 Fig. 3
 
Fig. 4 Fig. 5
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited