REFLECTIONLESS ACOUSTIC-WAVES IN ONE-DIMENSIONAL ELASTIC STRUCTURE WITH CORRELATED DISORDER

We study, via Dean's method and scattering transfer-matrix approach, t he acoustic waves of one-dimensional structure with correlated disorde r, which is realized by randomly inserting impurity segments into a pu re host chain. There exist completely reflectionless acoustic modes, w hose number is less than the number of atoms in a segment by 1. The fr equencies of these modes are situated in the smooth parts of the phono n spectrum. We present the curves of transmission of incident waves ve rsus frequencies, which show sharp resonant peaks at the reflectionles s modes. The possible applications of this property are discussed.