- 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

Incoherent white-light solitons in nonlinear periodic lattices

R. Pezer and H. Buljan

G. Bartal and M. Segev

J. W. Fleischer

  • Department of Physics, University of Zagreb, Bijenička c. 32, 10000 Zagreb, Croatia

  • Physics Department, Technion - Israel Institute of Technology, Haifa 32000, Israel

  • Electrical Engineering Department, Princeton University, New Jersey 08544, USA

PDF

Phys. Rev. E 73, 056608 – Published 18 May, 2006

DOI: https://doi.org/10.1103/PhysRevE.73.056608

Abstract

We predict the existence of lattice solitons made of incoherent white light: lattice solitons made of light originating from an ordinary incandescent light bulb. We find that the intensity structure and spatial power spectra associated with different temporal frequency constituents of incoherent white-light lattice solitons (IWLLSs) arrange themselves in a characteristic fashion, with the intensity structure more localized at higher frequencies, and the spatial power spectrum more localized at lower frequencies; the spatial correlation distance is larger at lower frequency constituents of IWLLSs. This characteristic shape of incoherent white-light lattice solitons reflects the fact that diffraction is stronger for lower temporal frequency constituents, while higher frequencies experience stronger effective nonlinearity and deeper lattice structure.

View figure in article

Article Text

References (43)

  1. H. Buljan, O. Cohen, J. W. Fleischer, T. Schwartz, M. Segev, Z. H. Musslimani, N. K. Efremidis, and D. N. Christodoulides, Phys. Rev. Lett. 92, 223901 (2004).
  2. O. Cohen, G. Bartal, H. Buljan, J. W. Fleischer, T. Carmon, M. Segev, and D. N. Christodoulides, Nature (London) 433, 500 (2005).
  3. G. Bartal, O. Cohen, H. Buljan, J. W. Fleischer, O. Manela, and M. Segev, Phys. Rev. Lett. 94, 163902 (2005).
  4. H. Buljan, G. Bartal, O. Cohen, T. Schwartz, O. Manela, T. Carmon, M. Segev, J. W. Fleischer, and D. N. Christodoulides, Stud. Appl. Math. 115, 173 (2005).
  5. K. Motzek, A. A. Sukhorukov, F. Kaiser, and Y. S. Kivshar, Opt. Express 13, 2916 (2005).
  6. R. Pezer, H. Buljan, J. W. Fleischer, G. Bartal, O. Cohen, and M. Segev, Opt. Express 13, 5013 (2005).
  7. G. Bartal, R. Pezer, H. Buljan, O. Cohen, O. Manela, J. W. Fleischer, and M. Segev, Opt. Lett. 31, 483 (2006).
  8. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature (London) 424, 817 (2003).
  9. J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, Opt. Express 13, 1780 (2005).
  10. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
  11. Yu. Kivshar, Opt. Lett. 18, 1147 (1993); J. Feng, ibid. 20, 1302 (1993).
  12. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. 81, 3383 (1998).
  13. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999); T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, ibid. 83, 4752 (1999).
  14. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 85, 1863 (2000); T. Pertsch, T. Zentgraf, U. Peschel, A. Brauer, and F. Lederer, ibid. 88, 093901 (2002).
  15. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E 66, 046602 (2002).
  16. J. W. Fleischer, T. Carmon, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Phys. Rev. Lett. 90, 023902 (2003).
  17. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature (London) 422, 147 (2003).
  18. O. Cohen, T. Schwartz, J. W. Fleischer, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 91, 113901 (2003).
  19. A. A. Sukhorukov and Y. S. Kivshar, Phys. Rev. Lett. 91, 113902 (2003).
  20. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, Phys. Rev. Lett. 90, 053902 (2003).
  21. Y. Kartashov, V. Vysloukh, and L. Torner, Opt. Express 12, 2831 (2004).
  22. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. 92, 163902 (2004).
  23. K. Motzek, A. A. Sukhorukov, Yu. S. Kivshar, and F. Kaiser, Nonlinear Guided Waves and Their Application (Dresden, Germany, 2005), p. WD25.
  24. M. Segev and D. N. Christodoulides, Incoherent Solitons in Spatial Solitons, edited by S. Trillo and W. Torruellas (Springer, Berlin, 2001) pp. 87–125.
  25. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. 77, 490 (1996).
  26. M. Mitchell and M. Segev, Nature (London) 387, 880 (1997).
  27. D. N. Christodoulides, T. H. Coskun, M. Mitchell, and M. Segev, Phys. Rev. Lett. 78, 646 (1997).
  28. M. Mitchell, M. Segev, T. H. Coskun, and D. N. Christodoulides, Phys. Rev. Lett. 79, 4990 (1997).
  29. V. V. Shkunov and D. Z. Anderson, Phys. Rev. Lett. 81, 2683 (1998).
  30. D. N. Christodoulides, E. D. Eugenieva, T. H. Coskun, M. Segev, and M. Mitchell, Phys. Rev. E 63, 035601(R) (2001).
  31. A. W. Snyder and D. J. Mitchell, Phys. Rev. Lett. 80, 1422 (1998).
  32. B. Hall, M. Lisak, D. Anderson, R. Fedele, and V. E. Semenov, Phys. Rev. E 65, 035602(R) (2002).
  33. M. Soljačić, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
  34. D. Kip, M. Soljačić, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
  35. M. Peccianti and G. Assanto, Opt. Lett. 26, 1791 (2001).
  36. A. Picozzi and M. Haelterman, Phys. Rev. Lett. 86, 2010 (2001); A. Picozzi, M. Haelterman, S. Pitois, and G. Millot, ibid. 92, 143906 (2004).
  37. H. Buljan, M. Segev, M. Soljačić, N. K. Efremidis, and D. N. Christodoulides, Opt. Lett. 28, 1239 (2003); H. Buljan, A. Šiber, M. Soljačić, T. Schwartz, M. Segev, and D. N. Christodoulides, Phys. Rev. E 68, 036607 (2003); H. Buljan, T. Schwartz, M. Segev, M. Soljačić, and D. N. Christodoulides, J. Opt. Soc. Am. B 21, 397 (2004).
  38. H. Buljan, A. Šiber, M. Soljačić, and M. Segev, Phys. Rev. E 66, 035601(R) (2002).
  39. T. Schwartz, T. Carmon, H. Buljan, and M. Segev, Phys. Rev. Lett. 93, 223901 (2004).
  40. S. A. Ponomarenko, N. M. Litchinitser, and G. P. Agrawal, Phys. Rev. E 70, 015603(R) (2004).
  41. M. Shen, Q. Wang, J. Shi, Y. Chen, and X. Wang, Phys. Rev. E 72, 026604 (2005).
  42. O. Cohen, H. Buljan, T. Schwartz, J. W. Fleischer, and M. Segev, Phys. Rev. E 73, 015601(R) (2006).
  43. H. Buljan, M. Segev, and A. Vardi, Phys. Rev. Lett. 95, 180401 (2005).

Outline

Information

Phys. Rev. E 73, 056608– Published 18 May, 2006
  • Received 9 January 2006

© 2006 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation