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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 7 — Jul. 1, 2001
  • pp: 1656–1661

Vectorial theory of propagation in uniaxially anisotropic media

Alessandro Ciattoni, Bruno Crosignani, and Paolo Di Porto  »View Author Affiliations

JOSA A, Vol. 18, Issue 7, pp. 1656-1661 (2001)

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We describe propagation in a uniaxially anisotropic medium by relying on a suitable plane-wave angular-spectrum representation of the electromagnetic field. We obtain paraxial expressions for both ordinary and extraordinary components that satisfy two decoupled parabolic equations. As an application, we obtain, for a particular input beam (a quasi-Gaussian beam), analytical results that allow us to identify some relevant features of propagation in uniaxial crystals.

© 2001 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.1960) Physical optics : Diffraction theory

Original Manuscript: August 4, 2000
Revised Manuscript: November 23, 2000
Manuscript Accepted: November 23, 2000
Published: July 1, 2001

Alessandro Ciattoni, Bruno Crosignani, and Paolo Di Porto, "Vectorial theory of propagation in uniaxially anisotropic media," J. Opt. Soc. Am. A 18, 1656-1661 (2001)

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  1. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, UK, 1999).
  2. A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).
  3. A. Yariv, Optical Electronics (Holt, Rinehart & Winston, New York, 1985).
  4. P. Yeh, Introduction to Photorefractive Nonlinear Optics (Wiley, New York, 1993).
  5. J. J. Stamnes, G. C. Sherman, “Radiation of electromagnetic fields in uniaxially anisotropic media,” J. Opt. Soc. Am. 66, 780–788 (1976). [CrossRef]
  6. A. Ciattoni, B. Crosignani, P. Di Porto, “Vectorial free-space optical propagation: a simple approach for generating all-order nonparaxial corrections,” Opt. Commun. 177, 9–13 (2000). [CrossRef]
  7. A. Ciattoni, P. Di Porto, B. Crosignani, A. Yariv, “Vectorial nonparaxial propagation equation in the presence of a tensorial refractive-index perturbation,” J. Opt. Soc. Am. B17, 809–819 (2000). [CrossRef]
  8. M. Lax, W. H. Louisell, W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975). [CrossRef]
  9. See, for example, G. Arfken, Mathematical Methods for Physicists (Academic, New York, 1984), Sec. 16.6.

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