Simulation of ultrasound radiation force induced shear wave propagation in viscoelastic media using a mapped Chebyshev pseudospectral method

作者: Bo Qiang , John C. Brigham , Robert J. McGough , James F. Greenleaf , Matthew W. Urban

DOI: 10.1121/1.4920589

关键词: WaveformChebyshev pseudospectral methodMathematical analysisWave propagationViscoelasticityBody forcePhysicsBoundary value problemClassical mechanicsShear wavesKelvin–Voigt material

摘要: We implemented a three-dimensional solver for simulating the ultrasound radiation force induced shear wave motion in viscoelastic media using mapped Chebyshev pseudospectral method. The used body field that is simulated by Field II program as excitation. Then, velocity-stress formulation was to calculate motion. Voigt model describe tissue viscoelasticity, and viscosity introduced memory variables auxiliary differential equations. top boundary of domain had fixed condition mimic interaction between an probe surface. All other sides were surrounded perfectly matched layers minimize reflections. Time stepping with LSODE integrator variable step sizes. Results show waveform close experimental observations equivalent FEM simulations. Fourier-based method estimate phase velocities waves 100–1000 Hz nonlinear regression parameters. reconstructions within 10% error compared true values.

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