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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

  • Vol. 19, Iss. 4 — Apr. 1, 2002
  • pp: 792–796

Propagation of cylindrically symmetric fields in uniaxial crystals

Alessandro Ciattoni, Gabriella Cincotti, and Claudio Palma  »View Author Affiliations


JOSA A, Vol. 19, Issue 4, pp. 792-796 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000792


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Abstract

We investigate the paraxial propagation along the optical axis of a uniaxially anisotropic crystal of a general paraxial beam whose boundary Cartesian components possess cylindrical symmetry. This property allows us to obtain expressions whose dependence on the azimuth angle ϕ (in cylindrical coordinates) is fully described and very simple. We also find that the beam loses its boundary cylindrical symmetry during propagation, as a consequence of medium anisotropy. Further, these expressions elucidate the way in which the anisotropy changes the state of polarization. As an example, we discuss the case of a Gaussian beam focused into the crystal by a thin spherical lens.

© 2002 Optical Society of America

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

History
Original Manuscript: May 31, 2001
Revised Manuscript: August 23, 2001
Manuscript Accepted: August 24, 2001
Published: April 1, 2002

Citation
Alessandro Ciattoni, Gabriella Cincotti, and Claudio Palma, "Propagation of cylindrically symmetric fields in uniaxial crystals," J. Opt. Soc. Am. A 19, 792-796 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-4-792


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References

  1. A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984).
  2. M. Born, E. Wolf, Principles of Optics (Pergamon, Oxford, UK, 1999).
  3. T. Feng, Y.-Z. Wu, P.-D. Ye, “Improved coupled-mode theory for anisotropic waveguide modulators,” IEEE J. Quantum Electron. 25, 531–536 (1989). [CrossRef]
  4. S. Selleri, L. Vincetti, M. Zoboli, “Full-vector finite-element beams propagation method for anisotropic optical device analysis,” IEEE J. Quantum Electron. 36, 1392–1401 (2000). [CrossRef]
  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. J. J. Stamnes, G. C. Sherman, “Radiation of electromagnetic fields in biaxially anisotropic media,” J. Opt. Soc. Am. 68, 502–508 (1978). [CrossRef]
  7. J. A. Fleck, M. D. Feit, “Beam propagation in uniaxial anisotropic media,” J. Opt. Soc. Am. 73, 920–926 (1983). [CrossRef]
  8. A. Ciattoni, B. Crosignani, P. Di Porto, “Paraxial vector theory of propagation in uniaxially anisotropic media,” J. Opt. Soc. Am. A 18, 1656–1661 (2001). [CrossRef]
  9. J. J. Stamnes, G. C. Sherman, “Reflection and refraction of an arbitrary wave at the plane interface separating two uniaxial crystals,” J. Opt. Soc. Am. 67, 683–695 (1977). [CrossRef]
  10. D. Jiang, J. J. Stamnes, “Numerical and asymptotic results for focusing of two-dimensional waves in unaixial crystals,” Opt. Commun. 163, 55–71 (1999). [CrossRef]
  11. J. J. Stamnes, D. Jiang, “Focusing of electromagnetic waves into a uniaxial crystal,” Opt. Commun. 150, 251–262 (1998). [CrossRef]
  12. D. Jiang, J. J. Stamnes, “Numerical and experimental results for focusing of two-dimensional electromagnetic waves in uniaxial crystals,” Opt. Commun. 174, 321–334 (2000). [CrossRef]
  13. G. Sithambaranathan, J. J. Stamnes, “Transmission of a Gaussian beam into a biaxial crystal,” J. Opt. Soc. Am. A 18, 1662–1669 (2001). [CrossRef]
  14. J. J. Stamnes, V. Dhayalan, “Transmission of a two-dimensional Gaussian beam into a uniaxial crystal,” J. Opt. Soc. Am. A 18, 1670–1677 (2001). [CrossRef]
  15. See, e.g., R. N. Bracewell, The Fourier Transform and its Applications, 2nd ed., rev. (McGraw-Hill, New York, 1986).
  16. See, e.g., J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, Calif., 1956), Chap. 3.
  17. See, e.g., A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integrals and Series, Vol. 2, formula no. 3., p. 186 (Gordon & Breach, Amsterdam, 1986).
  18. B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics (Wiley, New York, 1991).

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