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

doi:10.1111/j.1467-9590.2005.00325.x

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 journal › Review article › peer-review

20 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 language	English
Pages (from-to)	173-208
Number of pages	36
Journal	Studies in Applied Mathematics
Volume	115
Issue number	2
DOIs	https://doi.org/10.1111/j.1467-9590.2005.00325.x
State	Published - Aug 2005
Externally published	Yes

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title = "Partially coherent waves in nonlinear periodic lattices",

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.",

author = "H. Buljan and G. Bartal and O. Cohen and T. Schwartz and O. Manela and T. Carmon and M. Segev and Fleischer, {J. W.} and Christodoulides, {D. N.}",

year = "2005",

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T1 - Partially coherent waves in nonlinear periodic lattices

AU - Buljan, H.

AU - Bartal, G.

AU - Cohen, O.

AU - Schwartz, T.

AU - Manela, O.

AU - Carmon, T.

AU - Segev, M.

AU - Fleischer, J. W.

AU - Christodoulides, D. N.

PY - 2005/8

Y1 - 2005/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=22544471882&partnerID=8YFLogxK

U2 - 10.1111/j.1467-9590.2005.00325.x

DO - 10.1111/j.1467-9590.2005.00325.x

M3 - 文献综述

AN - SCOPUS:22544471882

SN - 0022-2526

VL - 115

SP - 173

EP - 208

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

IS - 2

ER -

Partially coherent waves in nonlinear periodic lattices

Abstract

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