Backward-Wave Propagation and Discrete Solitons in a Left-Handed Electrical Lattice
Student author: Sam Wheeler
Physics Letters A
We study experimentally, analytically and numerically the backward-wave propagation, and formation of discrete bright and dark solitons in a nonlinear electrical lattice. We observe experimentally that a focusing (defocusing) effect occurs above (below) a certain carrier frequency threshold, and backward-propagating bright (dark) discrete solitons are formed. We develop a discrete model emulating the relevant circuit and benchmark its linear properties against the experimental dispersion relation. Using a perturbation method, we derive a nonlinear Schrödinger equation, that predicts accurately the carrier frequency threshold. Finally, we use numerical simulations to corroborate our findings and monitor the space–time evolution of the discrete solitons.
English, L. Q., S. Wheeler, Y. Shen, G. P. Veldes, N. Whitaker, P. G. Kevrekidis, and D. J. Frantzeskakis. "Backward-Wave Propagation and Discrete Solitons in a Left-Handed Electrical Lattice." Physics Letters A 375, no. 9 (2011): 1242-1248.