- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Optical breathers in anisotropic media

G. T. Adamashvili*

  • Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, D-01187 Dresden, Germany

  • *Permanent address: Tbilisi State University, Chavchavadze Ave. 1, Tbilisi, 380079, Georgia.
PDF

Phys. Rev. E 69, 026608 – Published 27 February, 2004

DOI: https://doi.org/10.1103/PhysRevE.69.026608

Abstract

Anisotropic crystals are shown to have three different mechanisms of the formation of breathers depending on the direction of the wave propagation and on the symmetry of the medium. Explicit analytic expressions for the parameters of breathers and the effective nonlinear susceptibilities for extraordinary waves are obtained. All uniaxial crystals with quadratic susceptibilities can be divided into three different groups, according to the crystal classes. Each group is characterized by a universal structure of the breathers zones. The structure of the breathers zones of the media with cubic susceptibilities depends neither on the crystal systems (syngonies) nor on the crystal classes and coincides with the structure of the breathers zones of the crystals with quadratic susceptibilities and crystal classes 3, 3m, 4, 4mm, 6, 6mm. The initial-value and boundary-value problems are considered separately.

View figure in article

References (39)

  1. A.C. Newell, Solitons in Mathematics and Physics (Society for Industrial and Applied Mathematics, University of Arizona, 1985).
  2. G.T. Adamashvili and S.V. Manakov, Solid State Commun. 48, 381 (1983).
  3. G.T. Adamashvili, Opt. Spektrosk. 176, 1400 (1992); ibid.76, 3 (1994); ibid.80, 251 (1996).
  4. M.B. Vinogradova, O.V. Rudenko, and A.P. Suhorukov, Theoria voln (Nauka, Moscow, 1990).
  5. S.A. Ahmanov, V.A. Vislouch, and A.S. Chirkin, Optica Phemtosekundnich Lasernich Impulsov (Nauka, Moscow, 1988).
  6. A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984); A. Yariv, Quantum Electronics (Wiley, New York, 1989).
  7. A.A. Kaminskii, Lasernie Kristali (Nauka, Moscow, 1975).
  8. Nelineinaia Spectroskopia, edited by N. Bloembergen (Mir, Moscow, 1979).
  9. O.N. Gadomski and P.A. Vlasov, Opticheskaia Exo-spectroskopia Poverxnosti (Nauka i Technica, Minsk, 1990); V.A. Galinishev-Kutuzov, V.V. Samartsev, and B.M. Habibulin, Impulsnaia Opticheskaia i Akusticheskaia Kogerentnaia Spektroskopia (Nauka, Moscow, 1988).
  10. P.L. Bhatnagar, Nonlinear Waves in One-dimensional Dispersive Systems (Clarendon Press, Oxford, 1979).
  11. V.M. Agranovich and V.L. Ginzburg, Kristallooptika s Uchotom Prostranstvennoi Dispersii i Teoria Eksitonov (Nauka, Moscow, 1979).
  12. A.P. Suchorukov, Nelineinie Volnovie Vzaimodeistvia v Optike i Padiophizike (Nauka, Moscow, 1988).
  13. E.G. Sauter, Nonlinear Optics (Wiley, New York, 1996).
  14. A.C. Newell and J.V. Moloney, Nonlinear Optics (Addison-Wesley, 1992).
  15. G.T. Adamashvili and A.A. Maradudin, Phys. Rev. E 55, 7712 (1997).
  16. S.L. McCall and E.L. Hahn, Phys. Rev. 183, 457 (1969).
  17. L. Allen and J.N. Eberly, Optical Resonance and Two Level Atoms (Wiley-Interscience, New York, 1975).
  18. I.A. Poluektov, U.M. Popov, and V.S. Roitberg, Usp. Fiz. Nauk 114, 97 (1974).
  19. A.I. Maimistov, A.M. Bahsarov, S.O. Elyutin, and Yu.M. Sklyarov, Phys. Rep. 191, 1 (1990).
  20. G.L. Lamb, Jr., Rev. Mod. Phys. 43, 99 (1971); Elements of Soliton Theory (Wiley, New York, 1980).
  21. G.T. Adamashvili, Phys. Lett. A 208, 323 (1995).
  22. G.T. Adamashvili, Opt. Spektrosk. 85, 95 (1998).
  23. J.C. Diels and E.L. Hahn, Phys. Rev. A 10, 2501 (1974).
  24. J.E. Rothenberg, D. Grishkovsky, and A.C. Balant, Phys. Rev. Lett. 53, 552 (1984).
  25. Nelineinie Svoistva Tverdich Tel, edited by V.M. Fain (Mir, Moscow, 1972).
  26. L.D. Landau and E.M. Livshic, Elektrodinamika Sploshnich sred (Izdatelstvo Techniko-Teoreticheskoi Literaturi, Moscow, 1957).
  27. V.M. Agranovich, G.T. Adamashvili, and V.I. Rupasov, Zh. Eksp. Teor. Fiz. 80, 1741 (1981).
  28. G.T. Adamashvili and M.D. Peikrishvili, Opt. Spektrosk. 89, 314 (2000).
  29. T. Taniuti and N. Iajima, J. Math. Phys. 14, 1389 (1973).
  30. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon, and H.C. Morris, Solitons and Nonlinear Wave Equation (Academic Press, New York, 1982).
  31. V.E. Zaharov, S.V. Manakov, S.P. Novikov, and L.P. Pitaevski, Teoria Solitonov, Metod Obratnoi Zadachi (Nauka, Moscow, 1980); M. Ablowitz and H. Segur, Solitons and the Inverse Scatering Transform (SIAM, Philadelphia, 1981).
  32. Y.S. Kivshar and B.A. Malomed, Europhys. Lett. 4, 1215 (1987).
  33. V.E. Zakharov and A.B. Shabat, Sov. Phys. JETP 34, 62 (1972).
  34. J.U. Kang, G.I. Stegeman, and J.S. Aitchison, Opt. Lett. 21, 189 (1996); ibid.20, 2069 (1995).
  35. C.B. Clausen, O. Bang, and Y.S. Kivshar, Phys. Rev. Lett. 78, 4749 (1997).
  36. W.E. Torruellas, Z. Wang, D.J. Hagan, E.W. Van Stryland, G.I. Stegeman, L. Torner, and C.R. Menyuk, Phys. Rev. Lett. 74, 5036 (1995); R. Schiek, Y. Beak, and G.I. Stegeman, Phys. Rev. E 53, 1138 (1996).
  37. H. Kim et al. (unpublished).
  38. S. Carrasco, S. Polyakov, H. Kim, L. Jankovicc, J. Stegeman, J. Torres, L. Torner, M. Katz, and D. Eger, Phys. Rev. E 67, 046616 (2003).
  39. G.T. Adamashvili, Opt. Spektrosk. 70, 574 (1991).

Outline

Information

Phys. Rev. E 69, 026608– Published 27 February, 2004
  • Received 25 March 2003

© 2004 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation