Dynamics of dark breathers in lattices with saturable nonlinearity | Zendy

Ljupčo Hadžievski | Zendy; Aleksandra Maluckov | Zendy; Milutin Stepić | Zendy

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Dynamics of dark breathers in lattices with saturable nonlinearity

Author(s) -

Ljupčo Hadžievski,

Aleksandra Maluckov,

Milutin Stepić

Publication year - 2007

Publication title -

optics express

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.394

H-Index - 271

ISSN - 1094-4087

DOI - 10.1364/oe.15.005687

Subject(s) - breather , physics , nonlinear system , transversal (combinatorics) , transverse plane , eigenvalues and eigenvectors , saturable absorption , classical mechanics , motion (physics) , equations of motion , dynamics (music) , stability (learning theory) , parametric statistics , optics , quantum mechanics , mathematical analysis , optical fiber , mathematics , fiber laser , structural engineering , engineering , statistics , machine learning , computer science , acoustics

The problems of the existence, stability, and transversal motion of the discrete dark localized modes in the lattices with saturable nonlinearity are investigated analytically and numerically. The stability analysis shows existence of regions of the parametric space with eigenvalue spectrum branches with non-zeroth real part, which indicates possibility for the propagation of stable on-site and inter-site dark localized modes. The analysis based on the conserved system quantities reveals the existence of regions with a vanishing Peierls-Nabarro barrier which allows transverse motion of the dark breathers. Propagation of the stable on-site and inter-site dark breathers and their free transversal motion are observed numerically.

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