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Soliton dynamics in deformable nonlinear lattices

Andrey A. Sukhorukov

  • Nonlinear Physics Centre and Centre for Ultra-high Bandwidth Devices for Optical Systems (CUDOS), Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT 0200, Australia*

  • *URL: www. rsphysse.anu.edu.au/nonlinear

Phys. Rev. E 74, 026606 – Published 21 August, 2006

DOI: https://doi.org/10.1103/PhysRevE.74.026606

Abstract

We describe wave propagation and soliton localization in photonic lattices, which are induced in a nonlinear medium by an optical interference pattern, taking into account the inherent lattice deformations at the soliton location. We obtain exact analytical solutions and identify the key factors defining soliton mobility, including the effects of gap merging and lattice imbalance, underlying the differences with discrete and gap solitons in conventional photonic structures.

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References (23)

  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
  2. G. Van Simaeys, S. Coen, M. Haelterman, and S. Trillo, Phys. Rev. Lett. 92, 223902 (2004).
  3. D. Neshev, Yu. S. Kivshar, H. Martin, and Z. G. Chen, Opt. Lett. 29, 486 (2004).
  4. H. Martin, E. D. Eugenieva, Z. G. Chen, and D. N. Christodoulides, Phys. Rev. Lett. 92, 123902 (2004).
  5. B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, J. Opt. Soc. Am. B 16, 587 (1999).
  6. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature (London) 424, 817 (2003).
  7. D. Mandelik, R. Morandotti, J. S. Aitchison, and Y. Silberberg, Phys. Rev. Lett. 92, 093904 (2004).
  8. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature (London) 422, 147 (2003).
  9. D. Neshev, A. A. Sukhorukov, B. Hanna, W. Krolikowski, and Yu. S. Kivshar, Phys. Rev. Lett. 93, 083905 (2004).
  10. Yu. S. Kivshar and D. K. Campbell, Phys. Rev. E 48, 3077 (1993).
  11. A. B. Aceves, C. De Angelis, T. Peschel, R. Muschall, F. Lederer, S. Trillo, and S. Wabnitz, Phys. Rev. E 53, 1172 (1996).
  12. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999).
  13. A. S. Desyatnikov, E. A. Ostrovskaya, Yu. S. Kivshar, and C. Denz, Phys. Rev. Lett. 91, 153902 (2003).
  14. A. S. Desyatnikov, A. A. Sukhorukov, E. A. Ostrovskaya, Yu. S. Kivshar, and C. Denz, in Nonlinear Guided Waves and Their Applications (Optical Society of America, Washington, D.C., 2004), p. MA2; H. J. Shin, Phys. Rev. E 69, 067602 (2004); J. Phys. A 37, 8017 (2004).
  15. J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Phys. Rev. Lett. 76, 3699 (1996).
  16. Z. G. Chen, M. Segev, T. H. Coskun, and D. N. Christodoulides, Opt. Lett. 21, 1436 (1996).
  17. S. V. Manakov, Zh. Eksp. Teor. Fiz. 65, 505 (1973) (in Russian) [Sov. Phys. JETP 38, 248 (1974)].
  18. C. Anastassiou, J. W. Fleischer, T. Carmon, M. Segev, and K. Steiglitz, Opt. Lett. 26, 1498 (2001).
  19. L. D. Carr, C. W. Clark, and W. P. Reinhardt, Phys. Rev. A 62, 063610 (2000).
  20. V. A. Aleshkevich, V. A. Vysloukh, and Y. V. Kartashov, Quantum Electron. 31, 257 (2001).
  21. Y. V. Kartashov, A. A. Egorov, A. S. Zelenina, V. A. Vysloukh, and L. Torner, Phys. Rev. E 68, 065605(R) (2003).
  22. D. E. Pelinovsky, A. A. Sukhorukov, and Yu. S. Kivshar, Phys. Rev. E 70, 036618 (2004).
  23. C. Conti and S. Trillo, Phys. Rev. E 64, 036617 (2001).

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