Wave propagation in a one-dimensional quasiperiodic medium: Localization and intermittency

Publisher Website
Google Scholar
Abstract
We consider the propagation of a wave in a quasiperiodic medium whose refractive index exhibits δ-like peaks of equal amplitudes and which are located on quasiperiodic sites. Two specific models of site distributions are investigated. In the first one, we find ‘‘quasilocalized states’’ with a very critical definition in energy. In the second model, a particular type of intermittency and a phenomenon of ‘‘noise localization’’ appear. The properties of the two models are based on the existence of a slow variable for particular energy values. Experimental applications of the observed resonances are suggested.