Exploring the Parametric Effect in Nonlinear Acoustic Waves

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.