High-frequency effective dynamical parameters for a viscoelastic layered medium modeling soft tissue

Authors

DOI:

https://doi.org/10.31349/RevMexFis.72.051101

Keywords:

multiple scales, effective parameters, shear wave elastography, high-frecuency ultrasound

Abstract

Shear wave propagation in a layered medium made of Voigt viscoelastic layers is studied. It is argued that is it possible to obtain closed-form analytical approximate expressions for the effective dynamical parameters of the layered medium in the high-frequency regime. The multiple scales method is applied to obtain the frequency-dependent effective dynamical parameters. Lower order analytical solution approximations for harmonic steady-state was obtained. Numerical comparison against precise numerical solutions via the tranfer matrix method were carried out. This could contribute to the model design of tissue-like phantom materials for ultrasound devices calibration as well as in the processing of signals from shear wave elastography.

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a) An imposed or entering signal and the corresponding propagated signal through a viscoelastic medium. b) Composite of $N$ lamina, where $x_n$ is the position of interfaces. The left boundary is at $x=x_0=a$ and the right one is at $x=x_N$. In addition the wave is attenuated as $x\rightarrow\infty$.

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Published

2026-09-01

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[1]
L. Flores Cano, J. . Bravo Castillero, L. D. Pérez Fernández, and H. D. Sánchez Chávez, High-frequency effective dynamical parameters for a viscoelastic layered medium modeling soft tissue, Rev. Mex. Fís. 72, (2026).

Issue

Vol. 72 No. 5 (2026): Revista Mexicana de Física

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Medical Physics

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Copyright (c) 2026 L. Flores-Cano, J. Bravo-Castillero, L. D. Pérez-Fernández, H. D. Sánchez-Chávez

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