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Optics Letters

Optics Letters


  • Vol. 27, Iss. 12 — Jun. 15, 2002
  • pp: 995–997

Elliptic critical points: C-points, a-lines, and the sign rule

A. I. Mokhun, M. S. Soskin, and I. Freund  »View Author Affiliations

Optics Letters, Vol. 27, Issue 12, pp. 995-997 (2002)

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The critical points of generic paraxial ellipse fields consist of singular points of circular polarization, called C -points, and azimuthal stationary points, i.e., maxima, minima, and saddle points. We define these stationary points here and review their properties. The sign rule for ellipse fields requires that the sign of the singularity indices IC=±1/2 of the C -points on non-self-intersecting lines of constant azimuthal ellipse orientation (modulo π/2), i.e., a -lines, alternate along the line. We verify this rule experimentally, using a newly developed interferometric technique to measure C -points and a -lines in an elliptically polarized random optical field.

© 2002 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.6140) Coherence and statistical optics : Speckle
(260.0260) Physical optics : Physical optics
(260.5430) Physical optics : Polarization
(350.5030) Other areas of optics : Phase
(350.7420) Other areas of optics : Waves

A. I. Mokhun, M. S. Soskin, and I. Freund, "Elliptic critical points: C-points, a-lines, and the sign rule," Opt. Lett. 27, 995-997 (2002)

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  1. J. F. Nye and M. V. Berry, Proc. R. Soc. London Ser. A 336, 165 (1974).
  2. Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).
  3. M. V. Vasnetsov and K. Staliunas, eds., Optical Vortices (Nova Science, New York, 1999).
  4. M. S. Soskin and M. V. Vasnetsov, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 2001), Vol. 42, Chap. 4.
  5. J. F. Nye, Natural Focusing and the Fine Structure of Light (IOP Publishing, Bristol, UK, 1999).
  6. A. I. Konukhov and L. A. Melnikov, J. Opt. B 3, S139 (2001).
  7. I. Freund, Opt. Lett. 26, 1996 (2001).
  8. M. Born and E. W. Wolf, Principles of Optics (Pergamon, Oxford, 1959), Sec. 1.4.2.
  9. I. Freund and N. Shvartsman, Phys. Rev. A 50, 5164 (1994).
  10. N. B. Baranova, B. Y. Zel'dovich, A. V. Mamaev, N. Pilipetskii, and V. V. Shkukov, JETP Lett. 33, 195 (1981).
  11. O. V. Angelsky, I. I. Mokhun, A. I. Mokhun, and M. S. Soskin, Phys. Rev. E 65, 036603(5) (2002).

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