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
ISSN
1539-3755
Recommended Citation
Ablowitz, Mark J.; Julien, Keith; Musslimani, Ziad H.; and Weinstein, Michael I., "Wave dynamics in optically modulated waveguide arrays" (2005). Faculty Bibliography 2000s. 4936.
https://stars.library.ucf.edu/facultybib2000/4936
Comments
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