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Optical polarization multistability in reflection in a semi-infinite isotropic nonlinear Kerr medium

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Abstract

We study nonlinear interaction of counter-propagating plane light waves in a semi-infinite isotropic lossless nonlinear Kerr medium and report existence of several regions of optical-polarization-multistability. The counter-propagating waves may be produced by normal reflection of an incident beam by a mirror in the nonlinear Kerr medium. We obtain nonlinear coupled differential equations for Stokes parameters of the two beams and solve them following the method of Prakash et al. [Mod. Phys. Lett. B 14, 47 (2000)] and the boundary conditions at the mirror. We find that, for the same incident intensity and for the same polarization state of the incident beam, output beam may exist in several stable polarization states.

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References

  1. H. Prakash, N. Chandra, R. Prakash, Mod. Phys. Lett. B 14, 47 (2000)

    Article  ADS  Google Scholar 

  2. A. Szoke, V. Daneu, J. Goldhar, N.A. Kurtin, Appl. Phys. Lett. 15, 376 (1969)

    Article  ADS  Google Scholar 

  3. H.M. Gibbs, S.L. McCall, T.N.C. Venkatesan, Phys. Rev. Lett. 45, 434 (1976)

    Google Scholar 

  4. D.A.B. Miller, S.D. Smith, A. Johnston, Appl. Phys. Lett. 35, 658 (1979)

    Article  ADS  Google Scholar 

  5. D.A.B. Miller, S.D. Smith, C.T. Seaton, IEEE J. Quantum Electron. 17, 312 (1981)

    Article  ADS  Google Scholar 

  6. D.A.B. Miller, S.D. Smith, C.T. Seaton, Proc. Int. Conf. on Optical bistability, Optical Bistability, edited by C.M. Bowden, M. Ciftan, H.R. Robl (Newyark, Plenum), p. 115

  7. F. Jonsson, C. Flytzanis, Phys. Rev. Lett. 82, 1426 (1999)

    Article  ADS  Google Scholar 

  8. P.D. Maker, R.W. Terhune, C.M. Savage, Phys. Rev. Lett. 12, 507 (1964)

    Article  ADS  Google Scholar 

  9. P.D. Maker, R.W. Terhune, Phys. Rev. A 137, 801 (1965)

    ADS  Google Scholar 

  10. H. Prakash, N. Chandra, Nuovo Cimento B 57, 255 (1968)

    ADS  Google Scholar 

  11. R. Goyal, H. Prakash, Phys. Lett. A 31, 506 (1970)

    Article  ADS  Google Scholar 

  12. V.P. Nayyar, Opt. Commun. 67, 91 (1988)

    Article  ADS  Google Scholar 

  13. H. Prakash, D.K. Singh, Mod. Phys. Lett. B 16, 955 (2002)

    Article  ADS  Google Scholar 

  14. L. Mandel, E. Wolf, Rev. Mod. Phys. 37, 231 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  15. L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, New York, 1991), p. 92

  16. M. Born, E. Wolf, Principles of Optics, 6th edn. (Pergamon Press, London, 1980), p. 495

  17. G.G. Stokes, Trans. Cambr. Phil. Soc. 9, 399 (1852), Reprinted in his Physical and Mathematical papers (Cambridge University Press, Cambridge, 1922), Vol. III, p. 233

    ADS  Google Scholar 

  18. D. Goldstien, Polarized Light (Marcel Dekker, Inc., New York, 2003), Chap. 4

  19. M. Abromowitz, I.A. Stegun, Handbook of Mathematical Function (Dover Publications, New York, 1965), Chap. 16

  20. E. Abraham, S.D. Smith, Rep. Prog. Phys. 45, 817 (1982)

    ADS  Google Scholar 

  21. Christopher C. Davis, Lasers and Electro-Optics (Cambridge University Press, London, 1996), p. 554

  22. J.S. Peng, G.X. Li, Introduction Modern Quantum Optics (World Scientific, Singapore, 1998), p. 257

  23. R. Bonifacio, L.A. Lugiato, Phys. Rev. A 18, 1129 (1978)

    Article  ADS  Google Scholar 

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Correspondence to D. K. Singh.

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Singh, D.K., Prakash, H. Optical polarization multistability in reflection in a semi-infinite isotropic nonlinear Kerr medium. Eur. Phys. J. D 66, 70 (2012). https://doi.org/10.1140/epjd/e2012-20362-8

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  • DOI: https://doi.org/10.1140/epjd/e2012-20362-8

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