Extension of the angular spectrum method to model the pressure field of a cylindrically curved array transducer

Ilyina, Natalia; Hermans, Jeroen; Abeele, Koen Van Den; D'hooge, Jan

doi:10.1121/1.4978302

Cited by 3 publications

(3 citation statements)

References 7 publications

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“…We can model complex and irregular inhomogeneous tissue geometries and quickly and accurately calculate the complex pressure distribution in a non-uniform three-dimensional model through controlling the size and number of voxels. Then, in 2017, Ilyina et al [10] calculated the pressure field of the cylindrical bending transducer array and compared the numerical results with those obtained through Field II. Meanwhile, they verified the accuracy of the method proposed by Vyas et al When using the ASM to calculate the field radiated by a sound source of limited size, how to avoid or eliminate the aliasing phenomenon in the frequency domain and the distortion caused by the phase shift will be the focus of research.…”

Section: Angular Spectrum Methodsmentioning

confidence: 99%

Sound Field Modeling Method and Key Imaging Technology of an Ultrasonic Phased Array: A Review

Wang

2022

Applied Sciences

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An ultrasonic phased array consists of multiple ultrasonic probes arranged in a certain regular order, and the delay time of the excitation signal sent to each array element is controlled electronically. The testing system model based on ultrasonic propagation theory is established to obtain a controllable and focused sound field, which has theoretical and engineering guiding significance for the calculation and analysis of ultrasonic array sound fields. Perfecting array theory and exploring array imaging methods can obtain rich acoustic information, provide more intuitive and reliable research results, and further the development of ultrasonic phased-array systems. This paper reviews the progress of research on the application of ultrasound arrays for non-destructive testing (NDT) and brings together the most relevant published work on the application of simulation methods and popular imaging techniques for ultrasonic arrays. It mainly reviews the modeling approaches, including the angular spectrum method (ASM), multi-Gaussian beam method (MGB), ray tracing method, finite element method (FEM), finite difference method (FDM), and distributed point source method (DPSM), which have been used to assess the performance and inspection modality of a given array. In addition, the array of imaging approaches, including the total focusing method (TFM), compression sensing imaging (CSI), and acoustic nonlinearity imaging (ANI), are discussed. This paper is expected to provide strong technical support in related areas such as ultrasonic array testing theory and imaging methods.

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Section: Angular Spectrum Methodsmentioning

confidence: 99%

Sound Field Modeling Method and Key Imaging Technology of an Ultrasonic Phased Array: A Review

Wang

2022

Applied Sciences

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“…These results empirically demonstrate that the conformal mapping for the polar representation of the angular spectrum method is valid for the simulation of pressure fields from a curvilinear transducer array. This approach circumvents the need to convert wave-fields emitted by the curvilinear array to a Cartesian grid prior to the application of the angular spectrum method ( Ilyina et al , 2017 ). Last, although Field II yields a faster simulation of pressure fields by relying on analytical solutions for a constant sound speed in the medium, the angular spectrum method we present here could be extended to the frequency-domain simulation of pressure fields in a spatially varying sound speed medium.…”

Section: Validation Of the Angular Spectrum Methods In Polar Coordinatesmentioning

confidence: 99%

“…Although the angular spectrum method has previously been used to simulate wavefields from curved transducer arrays ( Ilyina et al , 2017 ; Vyas and Christensen, 2011 ), these approaches either require conversion to Cartesian grid by approximating a curved source as a series of planar sources ( Ilyina et al , 2017 ) or use a very specific spherical geometry unsuitable for applications involving curvilinear arrays ( Vyas and Christensen, 2011 ). The goal of this work is to present a polar form of the angular spectrum method that enables Fourier beamforming for abdominal applications involving curvilinear probes.…”

Section: Introductionmentioning

confidence: 99%

Angular spectrum method for curvilinear arrays: Theory and application to Fourier beamforming

Ali

Dahl

2022

JASA Express Letters

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Fourier beamforming techniques for medical ultrasound imaging have largely been limited to linear transducer arrays. This work extends the angular spectrum method to curvilinear arrays and demonstrates a migration-based Fourier beamforming technique that has implications for sound speed estimation and distributed aberration correction for abdominal imaging applications. When compared to Field II simulations, the proposed angular spectrum method simulates the pressure field from a focused transmission to within 3.7% normalized root mean square error. The resulting Fourier beamforming technique is then compared to virtual source synthetic aperture using in vivo abdominal imaging examples where resolution and imaging quality improvements are observed.

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Spatial filters suppress ripple artifacts in the computation of acoustic fields with the angular spectrum method

Blackmore

Cleveland

Mobley

2018

The Journal of the Acoustical Society of America

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The angular spectrum method (ASM) is an effective tool for propagating wavefields between parallel planes through decomposition of the field into a series of independent plane waves. One source of error is interference from mirror sources introduced through the inherent periodicity of the fast Fourier Transform (FFT) used to implement this method numerically. Here, spatial filters were applied to attenuate waves propagating at large angles which are sensitive to mirror sources. Simulations show that this suppresses the ripple artifact while preserving the accuracy of the ASM-computed fields. To achieve comparable performance without filtering requires a 13.5-fold increase in computation time.

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Extension of the angular spectrum method to model the pressure field of a cylindrically curved array transducer

Cited by 3 publications

References 7 publications

Sound Field Modeling Method and Key Imaging Technology of an Ultrasonic Phased Array: A Review

Sound Field Modeling Method and Key Imaging Technology of an Ultrasonic Phased Array: A Review

Angular spectrum method for curvilinear arrays: Theory and application to Fourier beamforming

Spatial filters suppress ripple artifacts in the computation of acoustic fields with the angular spectrum method

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