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Optics Letters

Optics Letters


  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 13 — Jul. 1, 2006
  • pp: 2048–2050

Experimental optical diabolos

Roman I. Egorov, Marat S. Soskin, and Isaac Freund  »View Author Affiliations

Optics Letters, Vol. 31, Issue 13, pp. 2048-2050 (2006)

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The canonical point singularity of elliptically polarized light is an isolated point of circular polarization, a C point. As one recedes from such a point the surrounding polarization figures evolve into ellipses characterized by a major axis of length a, a minor axis of length b, and an azimuthal orientational angle α: at the C point itself, α is singular (undefined) and a and b are degenerate. The profound effects of the singularity in α on the orientation of the ellipses surrounding the C point have been extensively studied both theoretically and experimentally for over two decades. The equally profound effects of the degeneracy of a and b on the evolving shapes of the surrounding ellipses have only been described theoretically. As one recedes from a C point, a and b generate a surface that locally takes the form of a double cone (i.e., a diabolo). Contour lines of constant a and b are the classic conic sections, ellipses or hyperbolas depending on the shape of the diabolo and its orientation relative to the direction of propagation. We present measured contour maps, surfaces, cones, and diabolos of a and b for a random ellipse field (speckle pattern).

© 2006 Optical Society of America

OCIS Codes
(030.0030) Coherence and statistical optics : Coherence and statistical optics
(030.1670) Coherence and statistical optics : Coherent optical effects
(260.0260) Physical optics : Physical optics
(260.2130) Physical optics : Ellipsometry and polarimetry
(260.5430) Physical optics : Polarization
(350.5030) Other areas of optics : Phase

ToC Category:
Physical Optics

Original Manuscript: February 13, 2006
Revised Manuscript: April 4, 2006
Manuscript Accepted: April 4, 2006

Roman I. Egorov, Marat S. Soskin, and Isaac Freund, "Experimental optical diabolos," Opt. Lett. 31, 2048-2050 (2006)

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  1. J. F. Nye, Natural Focusing and Fine Structure of Light (Institute of Physics, 1999).
  2. J. F. Nye, Proc. R. Soc. London, Ser. A 389, 279 (1983). [CrossRef]
  3. J. F. Nye and J. V. Hajnal, Proc. R. Soc. London, Ser. A 409, 21 (1987). [CrossRef]
  4. M. V. Berry and M. R. Dennis, Proc. R. Soc. London, Ser. A 457, 141 (2001). [CrossRef]
  5. I. Freund, M. S. Soskin, and A. I. Mokhun, Opt. Commun. 208, 223 (2002). [CrossRef]
  6. M. R. Dennis, Opt. Commun. 213, 201 (2002). [CrossRef]
  7. V. G. Denisenko, R. I. Egorov, and M. S. Soskin, JETP Lett. 80, 17 (2004). [CrossRef]
  8. I. Freund, Opt. Lett. 29, 875 (2004). [CrossRef] [PubMed]
  9. Y. A. Egorov, T. A. Fadeyeva, and A. V. Volyar, J. Opt. A 6, S217 (2004). [CrossRef]
  10. A. Niv, G. Biener, V. Kleiner, and E. Hasman, Opt. Lett. 30, 2933 (2005). [CrossRef] [PubMed]
  11. I. Freund, Opt. Lett. 29, 875 (2004). [CrossRef] [PubMed]
  12. R. I. Egorov, V. G. Denisenko, and M. S. Soskin, JETP Lett. 81, 375 (2005). [CrossRef]
  13. M. V. Berry and J. H. Hannay, J. Phys. A 10, 1809 (1977). [CrossRef]
  14. M. V. Berry and M. Wilkinson, Proc. R. Soc. London, Ser. A 392, 15 (1984). Many important properties of the double cone generated by the splitting of degenerate eigenvalues are discussed theoretically, and the term "diabolo" to describe this unusual structure is introduced. [CrossRef]
  15. A. S. Thorndike, C. R. Cooley, and J. F. Nye, J. Phys. A 11, 1455 (1978). [CrossRef]
  16. M. Berry, "Hamilton's diabolic point," colloquium (Bar-Ilan University, 2005).
  17. M. Born and E. W. Wolf, Principles of Optics (Pergamon, 1959). a and b can also be calculated theoretically from the eigenvalues of the coherency matrix or of one of its variations, such as the {pq} matrices in Refs. .

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