Optical surface modes in the presence of nonlinearity and disorder

M. I. Molina, N. Lazarides, G. P. Tsironis

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)

Abstract

We investigate numerically the effect of the competition of disorder, nonlinearity, and boundaries on the Anderson localization of light waves in finite-size, one-dimensional waveguide arrays. Using the discrete Anderson-nonlinear Schrödinger equation, the propagation of the mode amplitudes up to some finite distance is monitored. The analysis is based on the calculated localization length and the participation number, two standard measures for the statistical description of Anderson localization. For relatively weak disorder and nonlinearity, a higher disorder strength is required to achieve the same degree of localization at the edge than in the interior of the array, in agreement with recent experimental observations in the linear regime. However, for relatively strong disorder and/or nonlinearity, this behavior is reversed and it is now easier to localize an excitation at the edge than in the interior.

Original languageEnglish
Article number017601
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number1
DOIs
Publication statusPublished - Jan 31 2012

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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