Modeling of 2D Acoustic Radiation Patterns as a Control Problem

Abstract

A problem of modeling radiation patterns of wave sources in two-dimensional acoustic tomography is considered. Each source has its own radiation patterns, and their modeling will be used to improve the solvability of inverse problems of recovering the acoustic parameters of human soft tissues and come closer to building a digital twin of acoustic tomography. The problem is considered as a control problem of the right side for the velocities by spatial variables. Two statements are investigated—control by time or space functions. A numerical solution method is implemented. The results of numerical calculations are presented.

Sound radiation patterns of the Sarasvati Veena and their relation with the modal behavior of its top plate

“…The relation between the modal behavior and the sound radiation is also studied for Western musical instruments like thar, si−thar and Santoor [21], [22]. Sound radiation studies other than those of the musical instruments exist [28], [29]. To the best of our knowledge, such studies are not conducted on the Sarasvati Veena.…”

Periodic Flows in a Viscous Stratified Fluid in a Homogeneous Gravitational Field

“…This makes it possible to study their properties within the framework of individual specialized equations-acoustics [1,22,31], internal [21] surface gravity or capillary waves [11,43]. Modern researchers often consider the problem of acoustic wave propagation in compressible media with complex structures using numerical and analytical methods [44,45]. At the same time, an important part of the periodic flow, which determines the fine structure of the flow, remains without attention.…”