Thesis chapter · 2015

Chapter 2 - Nonlinear Acoustic Waves in Layered Media

Noé Jiménez

pp. 45-104, 2015

Abstract

In this chapter we investigate numerically the propagation of a plane acoustic wave in a periodic medium in a structured fluid, formed by a periodic array of fluid layers with alternating acoustic properties. Periodic acoustic media such as 1D layered media, or 2D sonic crystals, are known to introduce strong dispersion in wave propagation, even creating forbidden propagation bands or bandgaps where wave propagation at particular frequencies is not allowed. We show how the nonlinear generation and propagation of the second and higher harmonics are strongly affected by the presence of the periodicity. Thus, the combined action of nonlinearity (harmonic generation) and periodicity (different propagation velocities and attenuation for the different harmonics) results in novel and unexpected phenomena with respect to the linear counterpart, and opens the door to new mechanisms of acoustic wave control and manipulation.

BibTeX citation
@other{phdc2,
 author = {Noé Jiménez},
 pages = {45-104},
 title = {Chapter 2 - Nonlinear Acoustic Waves in Layered Media},
 year = {2015}
}