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Lensing effects in a nematic liquid crystal with topological defects

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Abstract.

Light traveling through a liquid crystal with disclinations perceives a geometrical background which causes lensing effects similar to the ones predicted for cosmic objects like global monopoles and cosmic strings. In this paper we explore the effective geometry as perceived by light in such media. The comparison between both systems suggests that experiments can be done in the laboratory to simulate optical properties, like gravitational lensing, of cosmic objects.

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References

  1. R.H. Brandenberger, Int. J. Mod. Phys. 9, 2117 (1994).

    Article  ADS  Google Scholar 

  2. A. Abrikosov, JETP 5, 1174 (1959)

    Google Scholar 

  3. T. Kibble, J. Phys. A 9, 1387 (1976).

    Article  MATH  ADS  Google Scholar 

  4. M.J. Bowick, L. Chandar, E.A. Schiff, A.M. Srivastava, Science 263, 5149 (1994).

    Google Scholar 

  5. A. Vilenkin, Astrophys. J. 282, L51 (1984)

  6. A. Joets, R. Ribotta, Opt. Commun. 107, 200 (1994).

    Article  ADS  Google Scholar 

  7. M.F. Grandjean, Bull. Soc. Fr. Mineral. 42, 42 (1919).

    Google Scholar 

  8. U.R. Fischer, M. Visser, Phys. Rev. Lett. 88, 110201 (2002).

    Article  MathSciNet  ADS  Google Scholar 

  9. M. Born, E. Wolf, Principles of Optics (Pergamon Press, London, 1980).

  10. F. Moraes, Braz. J. Phys. 30, 304 (2000).

    Article  Google Scholar 

  11. Z. Shen, Lectures on Finsler Geometry (World Scientific, Singapore, 2001).

  12. C. Sátiro, F. Moraes, Mod. Phys. Lett. A 20, 2561 (2005).

    Article  ADS  Google Scholar 

  13. M. Kléman, O.D. Lavrentovich, Soft Matter Physics (Springer-Verlag, New York, 2003).

  14. M.P. do Carmo, Riemannian Geometry (Birkhäuser, Boston, 1992).

  15. R. Kamien, Rev. Mod. Phys. 74, 953 (2002).

    Article  ADS  Google Scholar 

  16. C. Chiccoli, Phys. Rev. E 66, 030701 (2002).

    Article  ADS  Google Scholar 

  17. M. Barriola, A. Vilenkin, Phys. Rev. D 63, 341 (1989).

    ADS  Google Scholar 

  18. O. Katanaev, I.V. Volovich, Ann. Phys. (N.Y.) 216, 1 (1992).

    Article  MATH  MathSciNet  Google Scholar 

  19. M. Sazhin, Mon. Not. R. Astron. Soc. 343, 353 (2003).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Departamento de Fısica, Universidade Federal da Paraıba, Caixa Postal 5008, 58051-970, João Pessoa, PB, Brazil

    C. Sátiro & F. Moraes

Authors
  1. C. Sátiro
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  2. F. Moraes
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Correspondence to F. Moraes.

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Sátiro, C., Moraes, F. Lensing effects in a nematic liquid crystal with topological defects. Eur. Phys. J. E 20, 173–178 (2006). https://doi.org/10.1140/epje/i2005-10127-2

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  • DOI: https://doi.org/10.1140/epje/i2005-10127-2

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