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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 6 — Mar. 25, 2013
  • pp: 6895–6900

Generalized Jones matrices for anisotropic media

Noé Ortega-Quijano and José Luis Arce-Diego  »View Author Affiliations

Optics Express, Vol. 21, Issue 6, pp. 6895-6900 (2013)

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The interaction of arbitrary three-dimensional light beams with optical elements is described by the generalized Jones calculus, which has been formally proposed recently [Azzam, J. Opt. Soc. Am. A 28, 2279 (2011)]. In this work we obtain the parametric expression of the 3×3 differential generalized Jones matrix (dGJM) for arbitrary optical media assuming transverse light waves. The dGJM is intimately connected to the Gell-Mann matrices, and we show that it provides a versatile method for obtaining the macroscopic GJM of media with either sequential or simultaneous anisotropic effects. Explicit parametric expressions of the GJM for some relevant optical elements are provided.

© 2013 OSA

OCIS Codes
(260.0260) Physical optics : Physical optics
(260.2130) Physical optics : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

Original Manuscript: December 19, 2012
Revised Manuscript: February 7, 2013
Manuscript Accepted: February 7, 2013
Published: March 12, 2013

Virtual Issues
Vol. 8, Iss. 4 Virtual Journal for Biomedical Optics

Noé Ortega-Quijano and José Luis Arce-Diego, "Generalized Jones matrices for anisotropic media," Opt. Express 21, 6895-6900 (2013)

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  1. K. Lindfors, A. Priimagi, T. Setälä, A. Shevchenko, A. T. Friberg, and M. Kaivola, “Local polarization of tightly focused unpolarized light,” Nat. Photonics1(4), 228–231 (2007). [CrossRef]
  2. H. Kang, B. Jia, and M. Gu, “Polarization characterization in the focal volume of high numerical aperture objectives,” Opt. Express18(10), 10813–10821 (2010). [CrossRef] [PubMed]
  3. S. Orlov, U. Peschel, T. Bauer, and P. Banzer, “Analytical expansion of highly focused vector beams into vector spherical harmonics and its application to Mie scattering,” Phys. Rev. A85(6), 063825 (2012). [CrossRef]
  4. J. J. Gil, “Polarimetric characterization of light and media,” Eur. Phys. J. Appl. Phys.40(1), 1–47 (2007). [CrossRef]
  5. R. M. A. Azzam, “Three-dimensional polarization states of monochromatic light fields,” J. Opt. Soc. Am. A28(11), 2279–2283 (2011). [CrossRef] [PubMed]
  6. C. R. Jones, “A new calculus for the treatment of optical systems. VII. Properties of the N-matrices,” J. Opt. Soc. Am.38(8), 671–685 (1948). [CrossRef]
  7. R. Barakat, “Exponential versions of the Jones and Mueller-Jones polarization matrices,” J. Opt. Soc. Am. A13(1), 158–163 (1996). [CrossRef]
  8. C. Brosseau, Fundamentals of polarized light. A statistical optics approach (Wiley, 1998).
  9. D. Han, Y. S. Kim, and M. E. Noz, “Jones-matrix formalism as a representation of the Lorentz group,” J. Opt. Soc. Am. A14(9), 2290–2298 (1997). [CrossRef]
  10. R. M. A. Azzam, “Propagation of partially polarized light through anisotropic media with or without depolarization: A differential 4x4 matrix calculus,” J. Opt. Soc. Am.68(12), 1756–1767 (1978). [CrossRef]
  11. N. Ortega-Quijano and J. L. Arce-Diego, “Depolarizing differential Mueller matrices,” Opt. Lett.36(13), 2429–2431 (2011). [CrossRef] [PubMed]
  12. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984).

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