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Modeling of 2D Acoustic Radiation Patterns as a Control Problem

Author

Listed:
  • Maxim Shishlenin

    (Institute of Computational Mathematics and Mathematical Geophysics, 630090 Novosibirsk, Russia
    Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia
    These authors contributed equally to this work.)

  • Nikita Savchenko

    (Mechanics and Mathematics Department, Novosibirsk State University, 630090 Novosibirsk, Russia
    These authors contributed equally to this work.)

  • Nikita Novikov

    (Institute of Computational Mathematics and Mathematical Geophysics, 630090 Novosibirsk, Russia
    Sobolev Institute of Mathematics, 630090 Novosibirsk, Russia
    These authors contributed equally to this work.)

  • Dmitriy Klyuchinskiy

    (Mechanics and Mathematics Department, Novosibirsk State University, 630090 Novosibirsk, Russia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Maxim Shishlenin & Nikita Savchenko & Nikita Novikov & Dmitriy Klyuchinskiy, 2022. "Modeling of 2D Acoustic Radiation Patterns as a Control Problem," Mathematics, MDPI, vol. 10(7), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1116-:d:783273
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    References listed on IDEAS

    as
    1. Li Quan & Xu Zhong & Xiaozhou Liu & Xiufen Gong & Paul A. Johnson, 2014. "Effective impedance boundary optimization and its contribution to dipole radiation and radiation pattern control," Nature Communications, Nature, vol. 5(1), pages 1-8, May.
    2. Dmitriy Klyuchinskiy & Nikita Novikov & Maxim Shishlenin, 2021. "Recovering Density and Speed of Sound Coefficients in the 2D Hyperbolic System of Acoustic Equations of the First Order by a Finite Number of Observations," Mathematics, MDPI, vol. 9(2), pages 1-13, January.
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