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JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA
Volume 108, Issue 2, Pages 556-563Publisher
ACOUSTICAL SOC AMER AMER INST PHYSICS
DOI: 10.1121/1.429586
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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. (C) 2000 Acoustical Society of America. [S0001-4966(00)03107-6].
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