Partially coherent waves in nonlinear periodic lattices

    Authors

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

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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

    Share

    COinS