2002/09/18 by S. Flach, A. E. Miroshnichenko, M. V. Fistul · 3 citations
Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #cond-mat
paper · pdf · doi:10.1063/1.1561627
published as Chaos 13, 596-609 (2003) · 17 pages, 19 figures, submitted to CHAOS (Focus Issue)
arxiv created 2002/09/18 · openalex publication_date 2003/05/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a time-periodic localized scattering potential for plane waves. We consider the case of elastic one-channel scattering, when the frequencies of incoming and transmitted waves coincide, but the breather provides with additional spatially localized ac channels whose presence may lead to various interference patterns. The dependence of the transmission coefficient on the wave number q and the breather frequency Omega(b) is studied for different types of breathers: acoustic and optical breathers, and rotobreathers. We identify several typical scattering setups where the internal time dependence of the breather is of crucial importance for the observed transmission properties.