Wave propagation with long-range forces and mistuning effects

Abstract

The present paper investigates the effects induced by long-range connections embedded within a classical D’Alembert waveguide, characterized by the number of connections and the distance between the linked sections of the structures. This new connectivity pattern induces unconventional effects, such as wave-stopping and negative group velocity, which can be adjusted by the features of the superstructure. Furthermore, a mistuning effect is met as consequence of the perturbation of the long-range connection distance. This perturbation may produce the amplification of the nonconventional propagation phenomena, even when the other physical and geometrical properties are unchanged.