Light dynamics in nonlinear trimers and twisted multicore fibers

Author:

Castro-Castro Claudia1,Shen Yannan2,Srinivasan Gowri3,Aceves Alejandro B.1,Kevrekidis Panayotis G.4

Affiliation:

1. Department of Mathematics, Southern Methodist University, Dallas, Texas 75275, USA

2. Department of Mathematics, University of California Northridge, California 91330, USA

3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87544, USA

4. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003-4515, USA

Abstract

Novel photonic structures such as multicore fibers and graphene based arrays present unique opportunities to manipulate and control the propagation of light. Here, we discuss nonlinear dynamics for structures with a few (2–6) elements for which linear and nonlinear properties can be tuned. Specifically, we show how nonlinearity, coupling, and parity–time ([Formula: see text]) symmetric gain/loss relate to existence, stability and in general, dynamical properties of nonlinear optical modes. The main emphasis of our presentation will be on systems with few degrees of freedom, most notably couplers, trimers and generalizations thereof to systems with six nodes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous),Atomic and Molecular Physics, and Optics,Electronic, Optical and Magnetic Materials

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