Simulation of Ultrasound Fields

Verweij, Martin D.; Treeby, Bradley E.; Dongen, Koen W. A. van; Demi, Libertario

doi:10.1016/b978-0-444-53632-7.00221-5

Cited by 37 publications

(30 citation statements)

References 83 publications

(106 reference statements)

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“…[12] and the k-Wave user manual. Note that the solution obtained with a uniform mass or uniform monopole source distribution within k-Wave is equivalent to the Rayleigh and O'Neil integral solutions with a uniform distribution of the normal component of vibrational velocity over the transducer surface [7,13].…”

Section: Numerical Testingmentioning

confidence: 99%

“…In this case, the response of the source is included within the model as the injection of mass or force at particular grid points within the computational mesh, rather than the imposition of a planar boundary condition. For finite difference and pseudospectral models, which are arguably the most commonly used numerical methods in ultrasound simulation [7], a regular Cartesian grid is generally used, and thus the source geometry must also conform to this mesh. In this work, a grid-based discrete source model for single and multi-element bowl-shaped transducers is developed, and validated against analytical models and experimental data.…”

Section: Introductionmentioning

confidence: 99%

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Simulating Focused Ultrasound Transducers Using Discrete Sources on Regular Cartesian Grids

Martin

Ling

Treeby

2016

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Accurately representing the behavior of acoustic sources is an important part of ultrasound simulation. This is particularly challenging in ultrasound therapy where multielement arrays are often used. Typically, sources are defined as a boundary condition over a 2-D plane within the computational model. However, this approach can become difficult to apply to arrays with multiple elements distributed over a nonplanar surface. In this paper, a grid-based discrete source model for single- and multielement bowl-shaped transducers is developed to model the source geometry explicitly within a regular Cartesian grid. For each element, the source model is defined as a symmetric, simply connected surface with a single grid point thickness. Simulations using the source model with the open-source k-Wave toolbox are validated using the Rayleigh integral, O'Neil solution, and experimental measurements of a focused bowl transducer under both quasi-continuous wave and pulsed excitations. Close agreement is shown between the discrete bowl model and the axial pressure predicted by the O'Neil solution for a uniform curved radiator, even at very low grid resolutions. Excellent agreement is also shown between the discrete bowl model and experimental measurements. To accurately reproduce the near-field pressure measured experimentally, it is necessary to derive the drive signal at each grid point of the bowl model directly using holography. However, good agreement is also obtained in the focal region using uniformly radiating monopole sources distributed over the bowl surface. This allows the response of multielement transducers to be modeled, even where measurement of an input plane is not possible.

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Section: Numerical Testingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Simulating Focused Ultrasound Transducers Using Discrete Sources on Regular Cartesian Grids

Martin

Ling

Treeby

2016

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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“…The pressure distribution p at the grid points (m, n) from one transmitter is also shown. k(r) m −1 , wherer is the position vector, may be written as [11]:…”

Section: Measurement Modelmentioning

confidence: 99%

“…C is an N 2 × N 2 matrix with the Green's coefficients G(r −r ) from each pixel to each pixel in the spatial domain. Equation (6) can be solved using an iterative Neumann scheme [11]. The scattered pressurep sc at the N t transducers can be written as…”

Section: A Forward Problemmentioning

confidence: 99%

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Compressed Sensing for Ultrasound Computed Tomography

Sloun

Pandharipande

Mischi

et al. 2015

IEEE Trans. Biomed. Eng.

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Ultrasound computed tomography (UCT) allows the reconstruction of quantitative tissue characteristics, such as speed of sound, mass density, and attenuation. Lowering its acquisition time would be beneficial; however, this is fundamentally limited by the physical time of flight and the number of transmission events. In this letter, we propose a compressed sensing solution for UCT. The adopted measurement scheme is based on compressed acquisitions, with concurrent randomised transmissions in a circular array configuration. Reconstruction of the image is then obtained by combining the born iterative method and total variation minimization, thereby exploiting variation sparsity in the image domain. Evaluation using simulated UCT scattering measurements shows that the proposed transmission scheme performs better than uniform undersampling, and is able to reduce acquisition time by almost one order of magnitude, while maintaining high spatial resolution.

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Two-dimensional ultrasonic transducer array for shear wave elastography in deep tissues: a preliminary study

2020

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Purpose This paper investigates the use of shear wave elastography (SWE) in deep tissues with a two-dimensional (2D) transducer array. Methods A 130-element 800-kHz 2D array for SWE in regions deeper than 100 mm is designed, fabricated, and characterized. SWE simulations are performed with the proposed 2D array in a tissue-like medium. Results The pressure field of the proposed transducer was recorded and utilized to simulate the generation of acoustic radiation force in deep tissues. The elasticity map of the tissue was successfully reconstructed by tracking the speed of shear wave propagation at 120 mm depth. Conclusion This study suggests that a 2D transducer with proper parameters may provide a means for extending the depth range of SWE.

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Simulation of Ultrasound Fields

Cited by 37 publications

References 83 publications

Simulating Focused Ultrasound Transducers Using Discrete Sources on Regular Cartesian Grids

Simulating Focused Ultrasound Transducers Using Discrete Sources on Regular Cartesian Grids

Compressed Sensing for Ultrasound Computed Tomography

Two-dimensional ultrasonic transducer array for shear wave elastography in deep tissues: a preliminary study

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