Closed-form weak-wave propagation pressure amplitudes for arbitrary power-law attenuation
Abstract
Biological tissues exhibit power-law frequency dependence of the attenuation coefficient. We derive closed-form weak-wave expressions for fundamental, second-, and third-harmonic pressure amplitudes of monochromatic acoustic plane waves in homogeneous media with arbitrary power-law attenuation to extend classical expressions for quadratic attenuation. For linear frequency dependence of attenuation, one-dimensional simulations using the k-Wave k-space pseudospectral solver yielded 35-42% (classical) and 0-2% (proposed) normalized root-mean-square errors for fundamental-band depletion. This extension supports improved fundamental-band B/A estimation for quantitative ultrasound tissue characterization. A proof-of-concept through-transmission application in phantoms with nearly linear attenuation yielded experimental B/A estimation errors of 23.7-52.7% (classical) and 4.0-5.9% (proposed).
Versions
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BibTeX
@misc{aviles2026closedform,
title = {{Closed-form weak-wave propagation pressure amplitudes for arbitrary power-law attenuation}},
author = {Esteban Avilés and Michael Oelze and Roberto Lavarello and Andres Coila},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.19458},
eprint = {2609.19458},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.19458},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Closed-form weak-wave propagation pressure amplitudes for arbitrary power-law attenuation
AU - Esteban Avilés
AU - Michael Oelze
AU - Roberto Lavarello
AU - Andres Coila
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2609.19458
UR - https://arxiv.org/abs/2609.19458
AB - Biological tissues exhibit power-law frequency dependence of the attenuation coefficient. We derive closed-form weak-wave expressions for fundamental, second-, and third-harmonic pressure amplitudes of monochromatic acoustic plane waves in homogeneous media with arbitrary power-law attenuation to extend classical expressions for quadratic attenuation. For linear frequency dependence of attenuation, one-dimensional simulations using the k-Wave k-space pseudospectral solver yielded 35-42% (classical) and 0-2% (proposed) normalized root-mean-square errors for fundamental-band depletion. This extension supports improved fundamental-band B/A estimation for quantitative ultrasound tissue characterization. A proof-of-concept through-transmission application in phantoms with nearly linear attenuation yielded experimental B/A estimation errors of 23.7-52.7% (classical) and 4.0-5.9% (proposed).
ER -