Title

Partially coherent waves in nonlinear periodic lattices

Authors

Authors

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

Comments

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Abbreviated Journal Title

Stud. Appl. Math.

Keywords

INCOHERENT-LIGHT BEAMS; NEMATIC LIQUID-CRYSTALS; GUIDE ARRAYS; SPATIAL; SOLITONS; DARK SOLITONS; MODULATION INSTABILITY; DISCRETE SOLITONS; PHOTONIC LATTICES; LOCALIZED MODES; SOLITARY WAVES; Mathematics, Applied

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.

Journal Title

Studies in Applied Mathematics

Volume

115

Issue/Number

2

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

173

Last Page

208

WOS Identifier

WOS:000230285400002

ISSN

0022-2526

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