Anderson localization effects in the transmission of energy down an irregularly ribbed fluid-loaded structure

摘要: The paper studies wave transmission along an infinite fluid-loaded elastic membrane supported by a finite array of irregularly spaced thin ribs, all having mechanical impedance, except for the first, which is driven time-harmonic force. When Green’s function unribbed structure taken to consist only its subsonic surface component, response exponentially localized (Anderson localization). A localization length calculated, as frequency, in both small and large disorder limits these calculated found agree extremely well with results numerical simulations. weak acoustic component included function, it shown that exponential short-circuited, now decaying algebraically distance from first rib, negligible sensitivity disorder, even rather degrees disorder.