Partially coherent waves in nonlinear periodic lattices

H. Buljan, G. Bartal, O. Cohen, T. Schwartz, O. Manela, T. Carmon, M. Segev*, J. W. Fleischer, D. N. Christodoulides

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

18 Scopus citations

Abstract

We study the propagation of partially coherent (random-phase) waves in nonlinear periodic lattices. The dynamics in these systems is governed by the threefold interplay between the nonlinearity, the lattice properties, and the statistical (coherence) properties of the waves. Such dynamic interplay is reflected in the characteristic properties of nonlinear wave phenomena (e.g., solitons) in these systems. While the propagation of partially coherent waves in nonlinear periodic systems is a universal problem, we analyze it in the context of nonlinear photonic lattices, where recent experiments have proven their existence.

Original languageEnglish
Pages (from-to)173-208
Number of pages36
JournalStudies in Applied Mathematics
Volume115
Issue number2
DOIs
StatePublished - Aug 2005
Externally publishedYes

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