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Partially Coherent Waves in Nonlinear Periodic Lattices
Author(s) -
Buljan H.,
Bartal G.,
Cohen O.,
Schwartz T.,
Manela O.,
Carmon T.,
Segev M.,
Fleischer J. W.,
Christodoulides D. N.
Publication year - 2005
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/j.1467-9590.2005.00325.x
Subject(s) - nonlinear system , physics , coherence (philosophical gambling strategy) , statistical physics , context (archaeology) , lattice (music) , wave propagation , classical mechanics , quantum mechanics , acoustics , biology , paleontology
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.