On the applicability of Kramers-Kronig relations for ultrasonic attenuation obeying a frequency power law

In the recent literature concern has been raised regarding the validity of Kramers-Kronig relations for media with ultrasonic attenuation obeying a frequency power law. It is demonstrated, however, that the Kramers-Kronig dispersion relations for application to these types of media are available. Th...

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Published inThe Journal of the Acoustical Society of America Vol. 108; no. 2; p. 556
Main Authors Waters, KR, Hughes, MS, Mobley, J, Brandenburger, GH, Miller, JG
Format Journal Article
LanguageEnglish
Published United States 01.08.2000
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Summary:In the recent literature concern has been raised regarding the validity of Kramers-Kronig relations for media with ultrasonic attenuation obeying a frequency power law. It is demonstrated, however, that the Kramers-Kronig dispersion relations for application to these types of media are available. The developed dispersion relations are compared with measurements on several liquids, and agreement is found to better than 1 m/s over the experimentally available bandwidth. A discussion regarding the validity of these dispersion relations, in particular how the dispersion relations relate to the so-called Paley-Wiener conditions, forms the conclusion.
ISSN:1520-8524
DOI:10.1121/1.429586