On the applicability of Kramers-Kronig relations for ultrasonic attenuation obeying a frequency power law |
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Authors: | Waters Hughes Mobley Brandenburger Miller |
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Affiliation: | Department of Physics, Washington University, St. Louis, Missouri 63130-4899, USA. |
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Abstract: | 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. |
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