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http://dx.doi.org/10.7776/ASK.2011.30.7.402

Comparison of Kramers-Krönig Relation and High-Frequency Acoustic Measurements in Water-Saturated Glass Beads  

Yang, Hae-Sang (서울대학교 공과대학 조선해양공학과)
Lee, Keun-Hwa (서울대학교 공과대학 조선해양공학과)
Seong, Woo-Jae (서울대학교 공과대학 조선해양공학과)
Publication Information
The Journal of the Acoustical Society of Korea / v.30, no.7, 2011 , pp. 402-407 More about this Journal
Abstract
The necessary and sufficient condition for causality of a physical system can be expressed as Kramers-Kr$\ddot{o}$nig (K-K) relation. K-K relation for acoustic wave is a Hilbert transforms pair between dispersion equations of phase speed and attenuation. In this study, we quantitatively compare the acoustic measurements in water-saturated glass beads for the frequency ranges from 400 kHz to 1.1 MHz with the predictions of differential form of K-K relation obtained by Waters et al. For media with attenuation obeying an arbitrary frequency power law, acoustic measurements show good agreements with the predictions of Kramers-Kr$\ddot{o}$nig relation.
Keywords
Kramers-Kr$\ddot{o}$nig relation; porous medium; p-wave sound speed and attenuation; water-saturated glass beads;
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