Exploring the Parametric Effect in Nonlinear Acoustic Waves

Abstract

Nonlinear acoustics is a critical area of study with practical applications in fields such as underwater communications, medical imaging, non-destructive testing, and sonar. This paper offers a comprehensive analysis of the Westervelt and Burgers equations, along with their related boundary problems, and investigates the characteristics of parametric generation, thereby making substantial advancements in the theoretical comprehension of nonlinear acoustic waves. Our analysis sheds new light on the dynamics of nonlinear acoustic waves and their behavior in various media, providing valuable insights into the physics of sound propagation. Finally, parametric effects can be intelligently exploited for communication applications. Thus, through the appropriate selection of encodings, it is possible to develop underwater acoustic communication systems with greater directivity and range than classical systems.

Nonlinear Medical Ultrasound Tomography: 3D Modeling of Sound Wave Propagation in Human Tissues

“…Recently, there have been a lot of works on nonlinear acoustic tomography [32][33][34][35][36][37][38][39]. The development of an adequate mathematical model of medical acoustic tomography describing the propagation of waves in the human body, taking into account most physical effects, is an urgent problem.…”