Kramers-Kronig analysis of attenuation and dispersion in trabecular bonea
Kendall Waters, B K. Hoffmeister
A restricted-bandwidth form of the Kramers-Kronig dispersion relations is applied to in vitro measurements of ultrasonic attenuation and dispersion properties of trabecular bone specimens from bovine tibia. The Kramers-Kronig analysis utilizes only experimentally measured properties and avoids having to extrapolate the form of the ultrasonic properties beyond the known bandwidth. Compensation for the portions of the Kramers-Kronig integrals over the unknown bandwidth is achieved in part by the use of the method of subtractions in which a subtraction frequency acts as an adjustable parameter. Good agreement is found between experimentally measured and Kramers-Kronig reconstructed dispersions. The restricted-bandwidth approach improves upon applications of other forms of the Kramers-Kronig relations and may potentially provide further insight into how ultrasound interacts with trabecular bone.
IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control
and Hoffmeister, B.
Kramers-Kronig analysis of attenuation and dispersion in trabecular bonea, IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control, [online], https://doi.org/10.1121/1.2126934
(Accessed November 30, 2023)