Propagation of longitudinal waves in a random binary rod
Yuri A. Godin · Waves in Random and Complex Media · 2006
Propagation of waves in a composite elastic rod consisting of rods with alternating properties of random length is considered. We calculate exactly the Lyapunov exponent and find its short and long wave asymptotics. Finally, we discuss conditions for propagation and localization of waves in a binary random medium.