{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,19]],"date-time":"2026-10-19T12:49:40Z","timestamp":1792414180629,"version":"4.4.0"},"reference-count":20,"publisher":"Acoustical Society of America (ASA)","issue":"10","license":[{"start":{"date-parts":[[2026,10,17]],"date-time":"2026-10-17T00:00:00Z","timestamp":1792195200000},"content-version":"vor","delay-in-days":16,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100010747","name":"Consejo Nacional de Ciencia, Tecnolog\u00eda e Innovaci\u00f3n Tecnol\u00f3gica","doi-asserted-by":"publisher","award":["PE501099673-2025"],"award-info":[{"award-number":["PE501099673-2025"]}],"id":[{"id":"10.13039\/501100010747","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2026,10,1]]},"abstract":"<jats:p>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%\u201342% (classical) and 0%\u20132% (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%\u201352.7% (classical) and 4.0%\u20135.9% (proposed).<\/jats:p>","DOI":"10.1121\/10.0046858","type":"journal-article","created":{"date-parts":[[2026,10,19]],"date-time":"2026-10-19T12:36:51Z","timestamp":1792413411000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Closed-form weak-wave propagation pressure amplitudes for arbitrary power-law attenuation"],"prefix":"10.1121","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-3581-6014","authenticated-orcid":false,"given":"Esteban","family":"Avil\u00e9s","sequence":"first","affiliation":[{"name":"Laboratorio de Im\u00e1genes M\u00e9dicas, Departamento de Ingenier\u00eda, Pontificia Universidad Cat\u00f3lica del Per\u00fa 1 , Lima 15088,","place":["Peru"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3099-7425","authenticated-orcid":false,"given":"Michael","family":"Oelze","sequence":"additional","affiliation":[{"name":"Beckman Institute for Advanced Science and Technology, Department of Electrical and Computer Engineering, University of Illinois Urbana-Champaign 2 , Urbana, Illinois 61801,","place":["USA"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8472-5161","authenticated-orcid":false,"given":"Roberto","family":"Lavarello","sequence":"additional","affiliation":[{"name":"Laboratorio de Im\u00e1genes M\u00e9dicas, Departamento de Ingenier\u00eda, Pontificia Universidad Cat\u00f3lica del Per\u00fa 1 , Lima 15088,","place":["Peru"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2924-3888","authenticated-orcid":false,"given":"Andres","family":"Coila","sequence":"additional","affiliation":[{"name":"Laboratorio de Im\u00e1genes M\u00e9dicas, Departamento de Ingenier\u00eda, Pontificia Universidad Cat\u00f3lica del Per\u00fa 1 , Lima 15088,","place":["Peru"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"231","published-online":{"date-parts":[[2026,10,19]]},"reference":[{"key":"2026101908364711100_c1","volume-title":"Nonlinear Acoustics","year":"1998"},{"key":"2026101908364711100_c2","volume-title":"Foundations of Biomedical Ultrasound","year":"2006"},{"issue":"2","key":"2026101908364711100_c3","doi-asserted-by":"publisher","first-page":"535","DOI":"10.1121\/1.393541","article-title":"A general model for the absorption of ultrasound by biological tissues and experimental verification","volume":"79","year":"1986","journal-title":"J. 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