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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
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Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
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A viscoacoustic wave equation solver using modified Born series.

Yifei Sun1,2, Yubing Li1,2, Chang Su1,2

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This summary is machine-generated.

A new viscoacoustic Born series (VBS) solver enables fast and accurate ultrasound simulations. This computational tool efficiently models acoustic wave propagation, improving medical imaging and therapeutic ultrasound applications.

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Area of Science:

  • Medical physics
  • Computational acoustics
  • Biomedical engineering

Background:

  • Medical ultrasound advancements necessitate efficient acoustic wave propagation simulators.
  • Existing methods may lack speed, precision, or the ability to incorporate complex material properties.

Purpose of the Study:

  • To introduce a novel frequency-domain numerical solver, the viscoacoustic Born series (VBS).
  • To efficiently solve the two-dimensional/three-dimensional viscoacoustic wave equation for medical ultrasound simulations.

Main Methods:

  • Developed the viscoacoustic Born series (VBS) as an extension of the convergent Born series.
  • Incorporated sound speed, density, and attenuation into the VBS solver.
  • Formulated theoretical preconditioning and a multiscale strategy for enhanced convergence, robustness, and efficiency.

Main Results:

  • The VBS solver demonstrated effective and efficient performance in numerical tests.
  • Successfully simulated acoustic wave propagation in fundamental and human tissue-mimicking models.
  • Validated performance even in high-impedance scenarios, such as transcranial ultrasound.

Conclusions:

  • The viscoacoustic Born series (VBS) provides a fast and precise solution for viscoacoustic wave propagation.
  • The VBS solver is promising for advancing rapid focusing ultrasound and inversion-based imaging techniques.
  • This development contributes to improved simulation capabilities in medical ultrasound.