Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using a k-space pseudospectral method.

No abstract is available for this paper.

• Publication year

  2012

• Venue

  Journal of the Acoustical Society of America

• Publication date

  2012-06-14

• Fields of study

  Medicine, Physics, Engineering

• Identifiers
  DOI 10.1121/1.4712021PMID 22712907
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• Time-reversal transcranial ultrasound beam focusing using a k-space method

  2012cited by this paper
• Use of multiple GPUs on shared memory multiprocessors for ultrasound propagation simulations

  2012cited by this paper
• New equations for nonlinear acoustics in a low Mach number and weakly heterogeneous atmosphere

  2012cited by this paper
• A k‐space method for nonlinear wave propagation.

  2011cited by this paper
• A k-space Green's function solution for acoustic initial value problems in homogeneous media with power law absorption.

  2011cited by this paper
• Linking multiple relaxation, power-law attenuation, and fractional wave equations.

  2011cited by this paper
• Nonlinear acoustic wave equations with fractional loss operators.

  2011cited by this paper
• Verification of the westervelt equation for focused transducers

  2011cited by this paper
• Time Domain Simulation of Harmonic Ultrasound Images and Beam Patterns in 3D Using the k-space Pseudospectral Method

  2011cited by this paper
• An iterative method for the computation of nonlinear, wide-angle, pulsed acoustic fields of medical diagnostic transducers.

  2010cited by this paper
• k-Wave: MATLAB toolbox for the simulation and reconstruction of photoacoustic wave fields.

  2010cited by this paper
• Modeling power law absorption and dispersion for acoustic propagation using the fractional Laplacian.

  2010cited by this paper
• A heterogeneous nonlinear attenuating full- wave model of ultrasound

  2009cited by this paper
• A filtered convolution method for the computation of acoustic wave fields in very large spatiotemporal domains.

  2009cited by this paper
• k-space propagation models for acoustically heterogeneous media: application to biomedical photoacoustics.

  2007cited by this paper
• Mathematical Theory of Wave Propagation

  2007cited by this paper
• Modeling the propagation of nonlinear three-dimensional acoustic beams in inhomogeneous media.

  2007cited by this paper
• Parabolic equation for nonlinear acoustic wave propagation in inhomogeneous moving media

  2006cited by this paper
• Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency.

  2004cited by this paper
• Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons.

  2004cited by this paper
• A k-space method for coupled first-order acoustic propagation equations.

  2002cited by this paper
• A generalized Westervelt equation for nonlinear medical ultrasound.

  2001cited by this paper
• A k-space method for large-scale models of wave propagation in tissue

  2001cited by this paper
• Simulations of the thermo-acoustic lens effect during focused ultrasound surgery.

  2001cited by this paper
• Conservation of energy and absorption in acoustic fields for linear and nonlinear propagation

  1998cited by this paper
• Modeling of pulsed finite-amplitude focused sound beams in time domain.

  1998cited by this paper
• Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic Waves

  1996cited by this paper
• Time‐domain modeling of finite‐amplitude sound in relaxing fluids

  1995cited by this paper
• Time domain wave equations for lossy media obeying a frequency power law

  1994cited by this paper
• A numerical method for general finite amplitude wave propagation in two dimensions and its application to spark pulses

  1991cited by this paper
• A model for the propagation and scattering of ultrasound in tissue.

  1991cited by this paper
• On the linearity of the momentum equation for progressive plane waves of finite amplitude

  1990cited by this paper
• An equation for acoustic propagation in inhomogeneous media with relaxation losses

  1989cited by this paper
• Chebyshev and Fourier Spectral Methods

  1989cited by this paper
• A general model for the absorption of ultrasound by biological tissues and experimental verification.

  1986cited by this paper
• Generalized Burgers equation for plane waves

  1985cited by this paper
• Distortion and harmonic generation in the nearfield of a finite amplitude sound beam

  1984cited by this paper
• Nonlinear Dissipative Distortion of Progressive Sound Waves at Moderate Amplitudes

  1953cited by this paper

• A model-based approach for B/A estimation using the finite amplitude insertion-substitution method.

  2026cites this paper
• Dual-Probe Pulse-Echo Speed-of-Sound Imaging

  2026cites this paper
• Predicting transcranial ultrasound insertion loss using skull CT: A deep learning approach.

  2026cites this paper
• Empirical correction method for spatial averaging effect in ultrasonic device calibration: Enhancing the precision-sensitivity trade-off.

  2026cites this paper
• Graphics processing unit accelerated Helmholtz equation solver in two dimensions using the traditional Born series formulation for linear and nonlinear media in biomedical ultrasound.

  2026cites this paper
• Waveform inversion of sound speed and acoustic attenuation for ring-array ultrasound tomography based on optimal transport framework.

  2026cites this paper
• A multi-sound-path approach for modeling thermal-induced artifacts in ultrasound imaging.

  2026cites this paper
• All-optical photoacoustic tomography via beam deflection

  2026cites this paper
• Transcranial adaptive aberration correction using deep learning for phased-array ultrasound therapy.

  2025cites this paper
• Impact of low-amplitude pulse interspersed with histotripsy treatment of Staphylococcus aureus biofilms on Surgical Mesh.

  2025cites this paper
• Simulation of The Ultrasound Shear Wave Elastography Imaging for The Non-invasive Tissue Characterization

  2025cites this paper
• The Role of Acoustic Parameters in Droplet Vaporization of Perfluoropentane Nanodroplets for In Vivo Applications

  2025cites this paper
• Consensus equilibrium-based ultrasound imaging with joint multi-frequency modeling

  2025cites this paper
• Time of Flight Transmission Mode Ultrasound Computed Tomography With Expected Gradient and Boundary Optimization

  2025cites this paper
• Nonlinearity parameter estimation method from fundamental band signal depletion in pulse-echo using a dual-energy model.

  2025cites this paper
• A pseudo-spectral time-domain method for ultrasound wave propagation in soft biological tissue

  2025cites this paper
• Effects of Aberration on Super-Resolution Ultrasound Imaging Using Microbubbles: A Simulation Study

  2025cites this paper
• Full-Wave Modeling of Transcranial Ultrasound using Volume-Surface Integral Equations and CT-Derived Heterogeneous Skull Data

  2025cites this paper
• Development of an Endoscopic Ultrasound Device for Delivering Microbubble-Mediated Cavitation in the Pancreas: Characterization and Preclinical In-Vivo Results

  2025cites this paper
• Pseudo-spectral model of elastic-wave propagation through toothed-whale head anatomy, and implications for biosonar.

  2025cites this paper
• Non-uniform time-stepping in k-space pseudospectral time domain models of acoustic propagation

  2025cites this paper
• Regularized Joint Estimator of the Nonlinearity Parameter and Attenuation Coefficient Using a Nonlinear Least-Squares Algorithm

  2025cites this paper
• Accurate and Efficient Modeling of Acoustic and Elastic Absorption in Medical Ultrasound Simulations

  2025cites this paper
• A Skull-Adaptive Framework for AI-Based 3D Transcranial Focused Ultrasound Simulation

  2025cites this paper
• Improved reference frequency method for attenuation imaging using multi-frequency coupling

  2025cites this paper
• Magnetic Resonance Imaging Guidance Method of Low‐Intensity Transcranial Focused Ultrasound for Deep Brain Neuromodulation

  2025cites this paper
• Volumetric Attenuation Estimation Using a Matrix Array with Spatially Weighted Fidelity and Regularization

  2025cites this paper
• Three-dimensional time-domain full waveform inversion for sound speed and attenuation reconstruction in ultrasound computed tomography

  2025cites this paper
• Nonlinearity Parameter Imaging Using a Multi-View Joint Inverse Problem Formulation

  2025cites this paper
• Ultrasound-transparent neural interfaces for multimodal interaction

  2025cites this paper
• Design and evaluation of nonlinear focused ultrasonic field mapping and measurement system

  2025cites this paper
• Full-Waveform Inversion With Low-frequency Extrapolation Based on Sparse Deconvolution for Ultrasound Computed Tomography.

  2025cites this paper
• One shot, one SoS: A real-time, single-shot global speed of sound estimator.

  2025cites this paper
• Histology-based Microstructural Tissue Phantoms for Realistic Ultrasound Simulation.

  2025cites this paper
• Blood‒brain barrier opening with Golay-coded ultrasound to improve therapeutic consistency in glioblastoma models

  2025cites this paper
• A Conservative Numerical Framework for Modeling Nonlinear Ultrasound Propagation in Thermoviscous Tissue Phantom

  2025cites this paper
• Estimation of shear viscoelasticity via time-domain elastic full waveform inversion in ultrasound shear wave elastography.

  2025cites this paper
• RPAI-Sim: Robotic Photoacoustic Imaging Simulation Framework Based on ROS

  2025cites this paper
• Towards distinguishing intra-canal and paraspinal cavitation activity during focused ultrasound exposures in the spine

  2025influential citation
• Blood-brain barrier opening with neuronavigation-guided focused ultrasound in pediatric patients with diffuse midline glioma.

  2025cites this paper
• Near-Field Clutter Mitigation in Speckle Tracking Echocardiography.

  2025cites this paper
• Three-dimensional omnidirectional acoustic orbital angular momentum emitter with tunable focus.

  2025cites this paper
• Unraveling novel wave structures and modulation instability for the (3＋1)-dimensional fifth-order nonlinear Wazwaz equation

  2025cites this paper
• Synthesis and characterization of hybrid mesoporous silica-iron oxide nanocomposite as a potential contrast agent for photoacoustic imaging

  2025cites this paper
• Non-destructive testing of steel-lined concrete structure using multiple agents with deep prior

  2025cites this paper
• Large-scale airborne holographic acoustic tweezers for synthesizing acoustic fields and particle manipulation.

  2025cites this paper
• Acoustic and flow conditions for effective non-contact culturing of vascular endothelial cells using lipid bubbles*

  2025cites this paper
• Elucidating ultrasound imaging of /ɹ/ tongue shapes using full-wave numerical simulationsa).

  2025cites this paper
• Seismic wave experiments in granular media with applications to asteroids

  2025cites this paper
• A feasibility study of a computational modeling system for performance evaluation and development of ultrasound strain elastography systems

  2025cites this paper
• Evaluation of Subcutaneous and Intermuscular Adipose Tissues by Application of Pattern Recognition and Neural Networks to Ultrasonic Data: A Model Study

  2025cites this paper
• Iterative Born solver for the acoustic Helmholtz equation with heterogeneous sound speed and density.

  2025cites this paper
• Spinal cord neuromodulation for blood pressure control using low-intensity focused ultrasound

  2025cites this paper
• Numerical modeling of ultrasound propagation in the inner ear for sonoporation-mediated drug delivery

  2025cites this paper
• Multi-Frequency Regularized Approach for Simultaneous Estimation of the Acoustic Nonlinearity Parameter and Attenuation Coefficient

  2025cites this paper
• Machine Learning-Guided Design of t-FUS Transducers for Deep Brain Neuromodulation in Obesity Treatment in a Mouse Model

  2025cites this paper
• Novel ultrasound-based longitudinal monitoring of cerebrospinal fluid infection in shunt-implanted hydrocephalus patients

  2025cites this paper
• Evaluation of the Effect of Clutter Reduction in Attenuation Coefficient Estimation

  2025cites this paper
• Aberration correction expands the treatment envelope for histotripsy in the liver

  2025cites this paper
• Non-contact culturing of vascular endothelial cells on wall surface following retention using acoustic radiation force and lipid bubbles

  2025cites this paper
• A viscoacoustic wave equation solver using modified Born series.

  2025cites this paper
• Machine learning-based optimization of a single-element transcranial focused ultrasound transducer for deep brain neuromodulation in mice

  2025influential citation
• Fast and Accurate Plane Wave and Color Doppler Imaging with the FOCUS Software Package

  2025cites this paper
• A flexible system model for real-world OMUS-based photoacoustics

  2025cites this paper
• Measurement-based simulation of temperature rise from focused and linear ultrasound fields and its validation with experiments.

  2025cites this paper
• Feasibility of ultrasound-mediated blood–brain barrier opening in sheep using sonolucent cranial implants

  2025cites this paper
• Spatially Weighted Fidelity and Regularization Terms for Attenuation Imaging

  2025cites this paper
• Systematic review of phase aberration correction algorithms for transcranial focused ultrasound

  2024cites this paper
• Acoustic-pressure-driven ultrasonic activation of the mechanosensitive receptor RET and of cell proliferation in colonic tissue

  2024influential citation
• Existence of solutions to k‐Wave models of nonlinear ultrasound propagation in biological tissue

  2024cites this paper
• Triggerable Patches for Medical Applications

  2024cites this paper
• Numerical Simulation of Intravascular Ultrasound Images Based on Patient-Specific Computed Tomography

  2024cites this paper
• OpenMP Accelerated Nonlinear Ultrasound Simulations via the Discontinuous Galerkin Method

  2024cites this paper
• Finite difference-embedded UNet for solving transcranial ultrasound frequency-domain wavefield.

  2024cites this paper
• Theoretical study of the conditions for acoustic nucleation and cavitation in biological tissue for its application in sono-photodynamic therapy

  2024cites this paper
• Nonlinear effects of dual-frequency focused ultrasound on the on-demand regulation of acoustic droplet vaporization

  2024cites this paper
• Calculating Fields Scattered by an Inhomogeneous Area with a Large Wave Size

  2024cites this paper
• Ultrasound Computed Tomography Reflection Imaging with Coherence-Factor Beamforming for Breast Tumor Early Detection

  2024cites this paper
• Evolution of acoustic nonlinearity in outdoor blast propagation from firearms: On the persistence of nonlinear behavior.

  2024cites this paper
• Strategies and safety simulations for ultrasonic cervical spinal cord neuromodulation

  2024cites this paper
• tFUSFormer: Physics-Guided Super-Resolution Transformer for Simulation of Transcranial Focused Ultrasound Propagation in Brain Stimulation

  2024cites this paper
• Multifrequency transcranial ultrasound holography with acoustic lenses

  2024cites this paper
• An all-ultrasound cranial imaging method to establish the relationship between cranial FUS incidence angle and transcranial attenuation in non-human primates in 3D

  2024cites this paper
• Multimodality in silico imaging of dense breasts: a comparative study of ultrasound computed tomography and digital breast tomosynthesis

  2024cites this paper
• On the imaging depth limit of photoacoustic tomography in the visible and first near-infrared windows.

  2024cites this paper
• Simultaneous estimation of the nonlinearity parameter and attenuation coefficient with the Gauss-Newton Levenberg-Marquardt algorithm

  2024cites this paper
• Tunable orbital angular momentum generator for directional acoustic transmission.

  2024cites this paper
• Overview of Therapeutic Ultrasound Applications and Safety Considerations: 2024 Update

  2024cites this paper
• A deep‐learning model for one‐shot transcranial ultrasound simulation and phase aberration correction

  2024cites this paper
• Enhancing Image Contrast in Breast USCT Reflection Imaging Using Coherence Factor Beamforming

  2024cites this paper
• Numerical investigation of the number of excitation elements-dependent acoustic field characteristics of a histotripter

  2024cites this paper
• Accelerating Ultrasound Wave Propagation Simulations using Pruned FFT

  2024influential citation
• Compressive-sensing-guided design of sparse receiver arrays for ultrasound imaging system

  2024cites this paper
• The future of transcranial ultrasound as a precision brain interface

  2024cites this paper
• Wavefield MAE: Leveraging Large Vision Models for Ultrasonic Wavefield Pattern Analysis

  2024cites this paper
• Nonlinearity parameter imaging of local estimates using spatial compounding

  2024cites this paper
• Сalculation of fields scattered by inhomogeneous area with a large wave size

  2024cites this paper
• Treatment Planning and Aberration Correction Algorithm for HIFU Ablation of Renal Tumors

  2024cites this paper
• Super-Resolution Ultrasound Imaging for Analysis of Microbubbles Cluster by Acoustic Vortex Tweezers

  2024cites this paper
• Multipolar expansion for aircraft noise equivalent sources

  2024cites this paper