{"ID":23475922,"CreatedAt":"2026-09-18T01:09:05.407443952Z","UpdatedAt":"2026-09-20T18:11:56.143995915Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.19458","arxiv_id":"2609.19458","title":"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).","short_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 expre...","url_abs":"https://arxiv.org/abs/2609.19458","url_pdf":"https://arxiv.org/pdf/2609.19458v1","authors":"[\"Esteban Avilés\",\"Michael Oelze\",\"Roberto Lavarello\",\"Andres Coila\"]","published":"2026-09-16T21:59:41Z","proceeding":"eess.SP","tasks":"[\"eess.SP\",\"physics.med-ph\"]","methods":"[]","has_code":false}