Title

Wave dynamics in optically modulated waveguide arrays

Authors

Authors

M. J. Ablowitz; K. Julien; Z. H. Musslimani;M. I. Weinstein

Comments

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Abbreviated Journal Title

Phys. Rev. E

Keywords

SOLITONS; EXCITATION; LATTICES; Physics, Fluids & Plasmas; Physics, Mathematical

Abstract

A model describing wave propagation in optically modulated waveguide arrays is proposed. In the weakly guided regime, a two-dimensional semidiscrete nonlinear Schrodinger equation with the addition of a bulk diffraction term and an external "optical trap" is derived from first principles, i.e., Maxwell equations. When the nonlinearity is of the defocusing type, a family of unstaggered localized modes are numerically constructed. It is shown that the equation with an induced potential is well-posed and gives rise to localized dynamically stable nonlinear modes. The derived model is of the Gross-Pitaevskii type, a nonlinear Schrodinger equation with a linear optical potential, which also models Bose-Einstein condensates in a magnetic trap.

Journal Title

Physical Review E

Volume

71

Issue/Number

5

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

4

WOS Identifier

WOS:000231688300011

ISSN

1539-3755

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