Anderson localization and nonlinearity in one-dimensional disordered photonic lattices.

@article{Lahini2008AndersonLA,
  title={Anderson localization and nonlinearity in one-dimensional disordered photonic lattices.},
  author={Yoav Lahini and Assaf Avidan and Francesca Pozzi and Marc Sorel and Roberto Morandotti and Demetrios N. Christodoulides and Yaron R. Silberberg},
  journal={Physical review letters},
  year={2008},
  volume={100 1},
  pages={
          013906
        }
}
We experimentally investigate the evolution of linear and nonlinear waves in a realization of the Anderson model using disordered one-dimensional waveguide lattices. Two types of localized eigenmodes, flat-phased and staggered, are directly measured. Nonlinear perturbations enhance localization in one type and induce delocalization in the other. In a complementary approach, we study the evolution on short time scales of delta-like wave packets in the presence of disorder. A transition from… 

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References

SHOWING 1-10 OF 13 REFERENCES

Introduction to Wave Scattering, Localization and Mesoscopic Phenomena. Second edition

Quantum and Classical Waves.- Wave Scattering and the Coherent Potential Approximation.- Coherent Waves and Effective Media.- Diffusive Waves.- The Coherent Backscattering Effect.- Renormalized

Phys

  • Rev. Lett. 84, 3236 (2000); Physica D 139, 247 (2000); 130, 155 (1999); C. Albanese and J. Frohlich, Commun. Math. Phys. 138, 193
  • 1991

The band here is inverted in respect to the usual convention in waveguide lattices

    Phys

    • Rev. Lett. 55, 2692 (1985); P.E. Wolf and G. Maret, Phys. Rev. Lett. 55, 2696 (1985); E. Akkermans and R. Maynard, J. Phys. Lett., 46 L1045
    • 1985

    The band here is inverted in respect to the usual convention in waveguide lattices

    • Phys . Rev . B
    • 1998

    Abdullaev

    • Izvestiya Vuz. Radiofizika 23, 766
    • 1980

    * Electronic address: yoav.lahini@weizmann.ac.il

      Phys

      • Rev. Lett, 70, 1787 (1993); M.I. Molina, Phys. Rev. B 58, 12547 (1998); T. Kottos and M. Weiss, Phys. Rev. Lett. 93, 190604 (2004); A. P. Pikovsky and D. L. Shepelyansky, arXiv:0708.3315 (2007); G. Kopidakis et. al., arXiv:0710.2621
      • 2007

      Phys

      • Rev. Lett. 53, 2169
      • 1984

      Phys

      • Rev. B 65, 155208 (2002); Phys. Rev. B 65, 245115
      • 2002