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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. 26, Iss. 11 — Nov. 1, 2009
  • pp: 2368–2372

Reciprocity constraints on the matrix of reflection from optically anisotropic surfaces

Rajendra Bhandari  »View Author Affiliations


JOSA A, Vol. 26, Issue 11, pp. 2368-2372 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002368


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Abstract

We derive certain constraints on the reflection matrix for reflection from a plane, nonmagnetic, optically anisotropic surface using a reciprocity theorem stated long ago by Van de Hulst [Light Scattering by Small Particles (Wiley, 1957)] in the context of scattering of polarized light. The constraints are valid for absorbing and chiral media and can be used as tools to check the consistency of derived expressions for such matrices in terms of the intrinsic parameters of the reflecting medium as illustrated by several examples.

© 2009 Optical Society of America

OCIS Codes
(230.1360) Optical devices : Beam splitters
(230.5440) Optical devices : Polarization-selective devices
(260.5430) Physical optics : Polarization
(240.2130) Optics at surfaces : Ellipsometry and polarimetry

ToC Category:
Optics at Surfaces

History
Original Manuscript: May 20, 2009
Revised Manuscript: September 14, 2009
Manuscript Accepted: September 18, 2009
Published: October 15, 2009

Citation
Rajendra Bhandari, "Reciprocity constraints on the matrix of reflection from optically anisotropic surfaces," J. Opt. Soc. Am. A 26, 2368-2372 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-11-2368


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References

  1. R. J. Potton, “Reciprocity in optics,” Rep. Prog. Phys. 67, 717-754 (2004). [CrossRef]
  2. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, 1957), p. 49.
  3. R. Bhandari, “Transpose symmetry of the Jones matrix and topological phases,” Opt. Lett. 33, 854-856 (2008). [CrossRef] [PubMed]
  4. R. Bhandari, “Cancellation of simple optical anisotropies without use of a Faraday mirror,” Opt. Lett. 33, 1839-1841 (2008). [CrossRef] [PubMed]
  5. Z. Sekera, “Scattering matrices and reciprocity relationships for various representations of the state of polarization,” J. Opt. Soc. Am. 56, 1732-1740 (1966). [CrossRef]
  6. Sekera's result, i.e., Eq. , originates in the work of Van de Hulst.
  7. T. P. Sosnowksi, “Polarization mode filters for integrated optics,” Opt. Commun. 4, 408-412 (1972). [CrossRef]
  8. R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North Holland, 1977).
  9. D. den Engelsen, “Ellipsometry of anisotropic films,” J. Opt. Soc. Am. 61, 1460-1466 (1971). [CrossRef]
  10. J. Lekner, “Reflection and refraction by uniaxial crystals,” J. Phys. Condens. Matter 3, 6121-6133 (1991). [CrossRef]
  11. M. P. Silverman, “Reflection and refraction at the surface of a chiral medium: comparison of gyrotropic constitutive relations invariant or noninvariant under a duality transformation,” J. Opt. Soc. Am. A 3, 830-837 (1986). [CrossRef]
  12. E. Georgieva, “Reflection and refraction at the surface of an isotropic chiral medium: eigenvalue-eigenvector solution using a 4×4 matrix method,” J. Opt. Soc. Am. A 12, 2202-2211 (1995). [CrossRef]
  13. J. Lekner, “Optical properties of isotropic chiral media,” Pure Appl. Opt. 5, 417-443 (1996). [CrossRef]
  14. M. Born and E. Wolf, Principles of Optics (Pergamon, 1975), p. 38.
  15. F. A. Jenkins and H. E. White, Fundamentals of Optics, 4th ed. (McGraw-Hill, 1981), p. 530.
  16. R. W. Ditchburn, Light (Dover, 1991), p. 423.
  17. S. Bassiri, C. H. Papas, and N. Engheta, “Electromagnetic wave propagation through a dielectric-chiral interface and through a chiral slab,” J. Opt. Soc. Am. A 5, 1450-1459 (1988). [CrossRef]
  18. N. Vansteenkiste, P. Vignolo, and A. Aspect,“Optical reversibility theorems for polarization: application to remote control of polarization,” J. Opt. Soc. Am. A 10, 2240-2245 (1993). [CrossRef]

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