Kramers–Kronig relationship between ultrasonic attenuation and phase velocity

Kramers–Kronig relationship between ultrasonic attenuation and phase velocity

Kramers–Kronig relations linking the attenuation and dispersion are presented for a linear acoustic system. These expressions are used as a starting point to derive approximate, nearly local expressions relating the ultrasonic attenuation at a specific frequency to the local frequency derivative of...

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Veröffentlicht in:The Journal of the Acoustical Society of America 1981-01, Vol.69 (3), p.696-701
Hauptverfasser: O’Donnell, M., Jaynes, E. T., Miller, J. G.
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Sprache:eng
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Acoustics
Frequency
Ultrasonics
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container_end_page 701
container_issue 3
container_start_page 696
container_title The Journal of the Acoustical Society of America
container_volume 69
creator O’Donnell, M.
Jaynes, E. T.
Miller, J. G.
description Kramers–Kronig relations linking the attenuation and dispersion are presented for a linear acoustic system. These expressions are used as a starting point to derive approximate, nearly local expressions relating the ultrasonic attenuation at a specific frequency to the local frequency derivative of the phase velocity (i.e., dispersion). The validity of these approximate relationships is demonstrated in several acoustic systems exhibiting substantially different physical properties.
doi_str_mv 10.1121/1.385566
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1520-8524
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source Acoustical Society of America (AIP)
subjects Acoustics
Frequency
Ultrasonics
title Kramers–Kronig relationship between ultrasonic attenuation and phase velocity
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