One-dimensional disordered layered systems with delocalized modes

In this paper, we present a disordered layered continuous system in which delocalized waves with nonzero frequency always exist. The conclusion is not in agreement with the traditional view on acoustic waves in one-dimensional disordered structures. However, the system proposed here is also very useful for detecting and generating quasi-monochromatic acoustic waves. Although these results derived from acoustic wave systems, they are also correct in other fields, such optical waves and electron waves in disordered one-dimensional systems.