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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: Stephen A. Burns
  • Vol. 24, Iss. 3 — Mar. 1, 2007
  • pp: 850–855

Quarter-wave layers with 50% reflectance for obliquely incident unpolarized light

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


JOSA A, Vol. 24, Issue 3, pp. 850-855 (2007)
http://dx.doi.org/10.1364/JOSAA.24.000850


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Abstract

The conditions under which light interference in a transparent quarter-wave layer of refractive index n 1 on a transparent substrate of refractive index n 2 leads to 50% reflectance for incident unpolarized light at an angle φ are determined. Two distinct solution branches are obtained that correspond to light reflection above and below the polarizing angle, φ p , of zero reflection for p polarization. The real p and s amplitude reflection coefficients have the same (negative) sign for the solution branch φ > φ p and have opposite signs for the solution branch φ < φ p . Operation at φ < φ p is the basis of a 50%–50% beam splitter that divides an incident totally polarized light beam (with p and s components of equal intensity) into reflected and refracted beams of orthogonal polarizations [ Opt. Lett. 31, 1525 (2006) ] and requires a film refractive index n 1 ( 2 + 1 ) n 2 . A monochromatic design that uses a high-index Ti O 2 thin film on a low-index Mg F 2 substrate at 488 nm wavelength is presented as an example.

© 2007 Optical Society of America

OCIS Codes
(160.4330) Materials : Nonlinear optical materials
(230.1360) Optical devices : Beam splitters
(260.3160) Physical optics : Interference
(260.5430) Physical optics : Polarization

ToC Category:
Optical Devices

History
Original Manuscript: June 15, 2006
Manuscript Accepted: September 28, 2006
Published: February 14, 2007

Citation
R. M. A. Azzam and F. F. Sudradjat, "Quarter-wave layers with 50% reflectance for obliquely incident unpolarized light," J. Opt. Soc. Am. A 24, 850-855 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-3-850


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References

  1. R. M. A. Azzam, "Dividing a light beam into two beams of orthogonal polarizations by reflection and refraction at a dielectric surface," Opt. Lett. 31, 1525-1527 (2006). [CrossRef] [PubMed]
  2. J. A. Dobrowolski, "Optical properties of films and coatings," in Handbook of Optics, M. Bass, E. W. Van Stryland, D. R. Williams, and W. L. Wolfe, eds. (McGraw-Hill, 1995), Vol. II, Chap. 42.
  3. R. M. A. Azzam, "Simultaneous reflection and refraction of light without change of polarization by a single-layer-coated dielectric surface," Opt. Lett. 10, 107-109 (1985). [CrossRef] [PubMed]
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  7. R. M. A. Azzam and A. De, "Optimal beam splitters for the division-of-amplitude photopolarimeter," J. Opt. Soc. Am. A 20, 955-958 (2003). [CrossRef]
  8. R. M. A. Azzam, "Variable-reflectance thin-film polarization-independent beam splitters for 0.6328 and 10.6 μm laser light," Opt. Lett. 10, 110-112 (1985). [CrossRef] [PubMed]

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