Pinned modes in two-dimensional lossy lattices with local gain and nonlinearity

• Published in: arXiv.org
• Main Authors: Ding, Edwin, Tang, A Y S, Chow, K W, Malomed, Boris A
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 20.04.2014
• Subjects: Bistability; Computer simulation; Defocusing; Eigenvalues; Embedded systems; Lattice vibration; Lattices (mathematics); Nonlinearity; Physics - Optics; Physics - Pattern Formation and Solitons; Solitary waves; Stability analysis; Waveguides

We introduce a system with one or two amplified nonlinear sites ("hot spots", HSs) embedded into a two-dimensional linear lossy lattice. The system describes an array of evanescently coupled optical or plasmonic waveguides, with gain applied at selected HS cores. The subject of the analysi...