Causal determination of acoustic group velocity and frequency derivative of attenuation with finite-bandwidth Kramers-Kronig relations

Published

July 8, 2005

Author(s)

J Mobley, Kendall Waters, J G. Miller

Abstract

Kramers-Kronig (K-K) analyses of experimental data are complicated by the extrapolation problem, that is, how the unexamined spectral bands impact K-K calculations. Without extrapolation the causal linkages of resonant-type data are established using expressions derived from the acoustic K-K relations to predict group velocity and slope-of-attenuation (frequency derivative of attenuation). These predictions provide a stricter test of causal consistency than the determination of the phase velocity and attenuation coefficient due to their shape-invariance with respect to subtraction constants.

Citation

Physical Review Letters

Pub Type

Journals

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DOI Link

Keywords

attenuation, causality, dispersion relations, finite bandwidth, group velocity, Kramers-Kronig, method of subtractions, microparticles, ultrasound propagation

Citation

Mobley, J. , Waters, K. and Miller, J. (2005), Causal determination of acoustic group velocity and frequency derivative of attenuation with finite-bandwidth Kramers-Kronig relations, Physical Review Letters, [online], https://doi.org/10.1103/PhysRevE.72.016604 (Accessed October 20, 2025)