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 December 13, 2024)
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Causal determination of acoustic group velocity and frequency derivative of attenuation with finite-bandwidth Kramers-Kronig relations
Published
Author(s)
J Mobley, , 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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Keywords
attenuation, causality, dispersion relations, finite bandwidth, group velocity, Kramers-Kronig, method of subtractions, microparticles, ultrasound propagation
Citation
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Created July 7, 2005, Updated October 12, 2021