Rapid calculation of acoustic fields from arbitrary continuous-wave sources

Treeby, Bradley E.; Budisky, Jakub; Wise, Elliott S.; Jaroš, Jiří; Cox, Ben

doi:10.1121/1.5021245

Cited by 41 publications

(26 citation statements)

References 19 publications

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“…To calculate the equivalent-source for the CW case, the forward and adjoint models were computed using the acoustic field propagator (AFP) [25]. This solves the wave equation including a CW mass source in a single step using two fast Fourier transforms (FFT).…”

Section: Validation a Overviewmentioning

confidence: 99%

Equivalent-Source Acoustic Holography for Projecting Measured Ultrasound Fields Through Complex Media

Treeby

Lucka

Martin

et al. 2018

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

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Holographic projections of experimental ultrasound measurements generally use the angular spectrum method or Rayleigh integral, where the measured data are imposed as a Dirichlet boundary condition. In contrast, full-wave models, which can account for more complex wave behavior, often use interior mass or velocity sources to introduce acoustic energy into the simulation. Here, a method to generate an equivalent interior source that reproduces the measurement data is proposed based on gradient-based optimization. The equivalent-source can then be used with full-wave models (for example, the open-source k-Wave toolbox) to compute holographic projections through complex media including nonlinearity and heterogeneous material properties. Numerical and experimental results using both time-domain and continuous-wave sources are used to demonstrate the accuracy of the approach.

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Section: Validation a Overviewmentioning

confidence: 99%

Equivalent-Source Acoustic Holography for Projecting Measured Ultrasound Fields Through Complex Media

Treeby

Lucka

Martin

et al. 2018

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

Self Cite

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“…The ultrasound wave simulation software employed for this study is k-Wave (Treeby and Cox (2010); Treeby et al (2012Treeby et al ( , 2014Treeby et al ( , 2018). k-Wave is an open source library implemented in MATLAB and the C language for acoustic, photoacoustic, and elastic wave propagation simulation.…”

Section: Simulation Geometrymentioning

confidence: 99%

Development and Validation of Quantitative Model-Based Image Reconstruction for NDE of Reinforced Steel-Lined Concrete Structures: Kal-El FY 2020

Santos-Villalobos

Ramuhalli

Alanazi

2020

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This project studied the capabilities of Model-Based Image Reconstruction (MBIR) and Machine Learning (ML) algorithms in the imaging and estimation of rebar corrosion from ultrasound signals. The application was challenging due to the introduction of a steel liner between the sensor and the concrete containing the rebar. The study focused in a synthetic specimen with a 6.35 mm thick steel liner, and a 19.05 mm diameter rebar at a depth of 44.5 mm and with four levels of corrosion; 0%, 20%, 50%, and 100% corrosion level. The corrosion was applied uniformly around the rebar, generating a ring in the perimeter of the rebar with different acoustic density. In order to generate a realistic synthetic dataset, we added random texture to the concrete of the synthetic specimens. This texture will mimic the variations encountered in real concrete specimens. We adapted our MBIR algorithm for the application and enhanced the algorithm to integrate in the physical model known specimen features, such as the steel liner thickness. The new MBIR method was able to cancel out reverberation from the steel liner and properly image the rebar. In particular, corrosion for the 50% and 100% cases were easily visible and quantitative metrics showed a slight separation for the 0% and 20% levels. The quantitative results were in agreement with the qualitative assessment. We also developed a ML XGBoost model to estimate corrosion level from the ultrasound signals. By combining the ML method with MBIR, we can pinpoint in the ultrasound signals the section that corresponds to the echoes from the rebar. The extract signals are processed by the XGBoost model for prediction. From each system scan, we obtain 15 predictions. The median prediction value is used as the final prediction. The True Acceptance Rate for the method is over 99%.

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“…The solution to Eq. (1), assuming zero initial conditions and free-space boundary conditions, can be written as [6]…”

Section: K-space Pstd Model: Exact Cw Source Termsmentioning

confidence: 99%

Accurate Time-Varying Sources in K-Space Pseudospectral Time Domain Acoustic Simulations

Cox

Treeby

2018

2018 IEEE International Ultrasonics Symposium (IUS)

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The pseudospectral time domain (PSTD) method is popular as a wave equation solver, one of its advantages being that it permits the use of coarse grids, as long as the spatial sampling is greater than two points-per-wavelength. The k-space PSTD method improves on this by incorporating an additional factor to remove the numerical dispersion which arises from the discretisation of the time derivatives. However, the effect of the temporal discretisation of time-varying sources has not previously been considered, although it can lead to substantial errors in the predicted field unless the timestep is sufficiently small to ensure the highest frequency is sampled at many points-per-period. Here, a correction factor is derived which eliminates this source of error, resulting in a k-space PSTD method that retains the spatial sampling advantage of conventional PSTD schemes but is also accurate as long as the temporal sampling is greater than two points-per-period and the CFL number is < 1.

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Rapid calculation of acoustic fields from arbitrary continuous-wave sources

Cited by 41 publications

References 19 publications

Equivalent-Source Acoustic Holography for Projecting Measured Ultrasound Fields Through Complex Media

Equivalent-Source Acoustic Holography for Projecting Measured Ultrasound Fields Through Complex Media

Development and Validation of Quantitative Model-Based Image Reconstruction for NDE of Reinforced Steel-Lined Concrete Structures: Kal-El FY 2020

Accurate Time-Varying Sources in K-Space Pseudospectral Time Domain Acoustic Simulations

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