Modeling of 2D Acoustic Radiation Patterns as a Control Problem

Maxim Shishlenin, Nikita Savchenko, Nikita Novikov and Dmitriy Klyuchinskiy
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Maxim Shishlenin: Institute of Computational Mathematics and Mathematical Geophysics, 630090 Novosibirsk, Russia
Nikita Savchenko: Mechanics and Mathematics Department, Novosibirsk State University, 630090 Novosibirsk, Russia
Nikita Novikov: Institute of Computational Mathematics and Mathematical Geophysics, 630090 Novosibirsk, Russia
Dmitriy Klyuchinskiy: Mechanics and Mathematics Department, Novosibirsk State University, 630090 Novosibirsk, Russia

Mathematics, 2022, vol. 10, issue 7, 1-14

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.

Keywords: acoustic; tomography; first-order hyperbolic system; inverse problem; control problem; gradient descent method; acoustic radiation pattern (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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