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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. 6 — Jun. 1, 2007
  • pp: 1767–1775

Complex unitary vectors for the direction of propagation and for the polarization of electromagnetic waves in uniaxial and absorbing dielectric media

J. M. Diñeiro, M. Berrogui, S. Alfonso, C. Alberdi, B. Hernández, and C. Sáenz  »View Author Affiliations


JOSA A, Vol. 24, Issue 6, pp. 1767-1775 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001767


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Abstract

The propagation of inhomogeneous and elliptically polarized plane waves in absorbing uniaxial anisotropic media is described using complex unitary vectors to represent the direction of propagation and the direction of polarization. Detailed expressions for electric displacement, electric field, and magnetic field vectors are obtained for the ordinary and extraordinary waves, and their geometry is discussed. According to the complex direction of propagation, three particular cases are studied: the real case (homogeneous wave), the case perpendicular to the optical axis, and the case coplanar with the optic axis. The case of isotropic media is also analyzed.

© 2007 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

History
Original Manuscript: June 29, 2006
Revised Manuscript: December 1, 2006
Manuscript Accepted: December 5, 2006
Published: May 9, 2007

Citation
J. M. Diñeiro, M. Berrogui, S. Alfonso, C. Alberdi, B. Hernández, and C. Sáenz, "Complex unitary vectors for the direction of propagation and for the polarization of electromagnetic waves in uniaxial and absorbing dielectric media," J. Opt. Soc. Am. A 24, 1767-1775 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-6-1767


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References

  1. M. Berek, "Optische Messmethoden in polarisierten Auflicht in sonderheit zur Bestimmung der erzmineralien, mit einer Theorie der Optick absorbierender Kristalle," Fortschr. Mineral. 22, 1-104 (1937).
  2. B. D. Cervelle, R. Caye, and J. Billard, "Determination de l'ellipsoïde complexe des indices de cristaux uniaxes fortement absorbants. Application à la pyrrhotite hexagonale," Bull. Soc. Fr. Mineral. Cristallogr. 93, 72-82 (1970).
  3. G. N. Borzdov, "Waves with quadratic amplitude dependence on coordinates in uniaxial crystals," J. Mod. Opt. 37, 281-284 (1990). [CrossRef]
  4. C. Alberdi, S. Alfonso, M. Berrogui, J. M. Diñeiro, C. Sáenz, and B. Hernández, "Field and Poynting vectors of homogeneous waves in uniaxial and absorbing dielectric media," J. Mod. Opt. 49, 1553-1566 (2002). [CrossRef]
  5. J. M. Cabrera, F. Agulló, and F. J. López, Optica Electromagnética. Vol. II: Materiales y Aplicaciones (Addison Wesley, 2000).
  6. R. M. A. Azzam and E. Ericsson, "Angular range for reflection of p-polarized light at the surface of an absorbing medium with reflectance below that at normal indicence," J. Opt. Soc. Am. A 19, 112-115 (2002). [CrossRef]
  7. R. Echarri and M. T. Garea, "Behaviour of the Poynting vector in uniaxial absorbing media," Pure Appl. Opt. 3, 931-941 (1994). [CrossRef]
  8. M. V. Berry and M. R. Dennis, "The optical singularities of birefringent dichroic chiral crystals," Proc. R. Soc. London, Ser. A 459, 1261-1292 (2003). [CrossRef]
  9. T. Setälä, A. Shevchenko, M. Kaivola, and A. T. Friberg, "Degree of polarization for optical near fields," Phys. Rev. E 66, 016615 (2002). [CrossRef]
  10. M. C. Simon and L. I. Perez, "Goos-Hanchen effect of an ordinary refracted beam," J. Mod. Opt. 52, 515-528 (2005). [CrossRef]
  11. L. I. Perez, "Modifications of geometric parameters of Gaussian beams reflected and transmitted on isotropic-uniaxial crystals interfaces," J. Opt. A, Pure Appl. Opt. 4, 640-649 (2002). [CrossRef]
  12. L. I. Perez and C. E. Vanney, "Non-absorbing isotropic-uniaxial interfaces: refraction in ordinary and extraordinary total reflection," J. Mod. Opt. 52, 1981-2000 (2005). [CrossRef]
  13. T. Saastamoinen and J. Tervo, "Geometrical interpretation of the degree of polarization for arbitrary electromagnetic fields," presented at the ICO Topical Meeting on Polarization Optics, Polvijärvi, Finland, June 30-July 3, 2003.
  14. H. Greiner, "Power splitting between refracted ordinary and extraordinary waves in uniaxial crystals with absorption," Optik (Stuttgart) 114, 109-112 (2003). [CrossRef]
  15. Y. A. Kravtsov, G. W. Forbes, and A. A. Asatryan, "Theory and applications of complex rays," in Progress in Optics, Vol. 39, E.Wolf, ed. (Elsevier Science, 1999), pp. 1-62. [CrossRef]
  16. R. A. Egorchenkov and Y. A. Kravtsov, "Complex ray-tracing algorithms with application to optical problems," J. Opt. Soc. Am. A 18, 650-656 (2001). [CrossRef]
  17. M. Bornatici, R. A. Egorchenkov, Y. A. Kravtsov, O. Maj, and E. Poli, "Exact beam tracing and complex geometrical optics solutions for the propagation of Gaussian electromagnetic beams," presented at the 28th European Physical Society Conference on Controlled Fusion and Plasma Physics, Funchal, Madeira, 18-22 June,2001.
  18. S. Alfonso, C. Alberdi, J. M. Diñeiro, M. Berrogui, B. Hernández, and C. Sáenz, "Complex unitary vectors for the direction of propagation and for the polarization of electromagnetic waves in absorbing isotropic media," J. Opt. Soc. Am. A 21, 1776-1784 (2004). [CrossRef]

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