Non-Reciprocal Supratransmission in Mechanical Lattices with Non-Local Feedback Control Interactions

Crystals

JackE. Pechac¹  MichaelJ. Frazier¹ 

[1] Department of Mechanical and Aerospace Engineering, University of California, San Diego, CA 92093, USA;

关键词: supratransmission;    non-reciprocity;    active mechanical lattices;    sine-Gordon equation;   

DOI  :  10.3390/cryst11020094

来源: DOAJ

【 摘 要 】

We numerically investigate the supratransmission phenomenon in an active nonlinear system modeled by the 1D/2D discrete sine-Gordon equation with non-local feedback. While, at a given frequency, the typical passive system exhibits a single amplitude threshold marking the onset of the phenomenon, we show that the inclusion of non-local feedback manifests additional thresholds that depend upon the specific boundary from which supratransmission is stimulated, realizing asymmetric (i.e., non-reciprocal) dynamics. The results illustrate a new means of controlling nonlinear wave propagation and energy transport for, e.g., signal amplification and mechanical logic.

【 授权许可】

Unknown