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Linear Approximation in Frequency Domain01:26

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Computation of nonlinear ultrasound fields using a linearized contrast source method.

Martin D Verweij1, Libertario Demi, Koen W A van Dongen

  • 1Laboratory of Acoustical Wavefield Imaging, Department of Imaging Science and Technology, Faculty of Applied Sciences, Delft University of Technology, Lorentzweg 1, 2628 CD Delft, The Netherlands. m.d.verweij@tudelft.nl

The Journal of the Acoustical Society of America
|August 10, 2013
PubMed
Summary
This summary is machine-generated.

The Iterative Nonlinear Contrast Source (INCS) method improves nonlinear ultrasound simulations. Linearization enhances its ability to handle complex media, enabling better medical diagnostic imaging.

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Area of Science:

  • Acoustics
  • Medical Imaging
  • Computational Physics

Background:

  • Nonlinear ultrasound enhances medical diagnostic imaging resolution and reduces artifacts.
  • Higher harmonic imaging is an area of active research beyond standard second harmonic imaging.
  • Accurate simulations of nonlinear wave fields in realistic media are crucial for developing new imaging techniques.

Purpose of the Study:

  • To address convergence issues in the Iterative Nonlinear Contrast Source (INCS) method for strong nonlinearities.
  • To improve the simulation of nonlinear wave propagation in lossy and inhomogeneous media.
  • To enhance the development of novel nonlinear ultrasound imaging modalities and equipment.

Main Methods:

  • The study focuses on the Iterative Nonlinear Contrast Source (INCS) method, a full wave approach solving the Westervelt equation.
  • It introduces linearization of the nonlinear contrast source to overcome convergence problems with the Neumann iterative solution.
  • Advanced integral equation solvers, specifically the Bi-Conjugate Gradient Stabilized method, are employed.

Main Results:

  • Linearization combined with the Bi-Conjugate Gradient Stabilized method enables the INCS method to handle strong, inhomogeneous attenuation.
  • The iterative scheme can be restarted to eliminate any error introduced by the linearization process.
  • This improved method allows for more accurate simulations in complex, realistic acoustic environments.

Conclusions:

  • The modified INCS method with linearization and advanced solvers significantly improves the simulation of nonlinear ultrasound fields.
  • This advancement facilitates the development and validation of next-generation medical diagnostic imaging technologies.
  • The ability to accurately simulate complex wave propagation is key to pushing the boundaries of ultrasound imaging.