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Kramers–Kronig relationship between ultrasonic attenuation and phase velocity
Abstract
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.
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Cited by
Undistorted guided-wave propagation of subpicosecond terahertz pulses
Mendis, R., & Grischkowsky, D. (2001) · Optics Letters · doi:10.1364/ol.26.000846 · Cited by 456
Ultrasound techniques for characterizing colloidal dispersions
Challis, R. E., Povey, M. J. W., Mather, M. L., & Holmes, A. K. (2005) · Reports on Progress in Physics · doi:10.1088/0034-4885/68/7/r01 · Cited by 282
A model for longitudinal and shear wave propagation in viscoelastic media
Szabo, T. L., & Wu, J. (2000) · The Journal of the Acoustical Society of America · doi:10.1121/1.428630 · Cited by 274
Metadata
- Authors
- O’Donnell, M., Jaynes, E. T., & Miller, J. G.
- Venue
- The Journal of the Acoustical Society of America
- Publisher
- Acoustical Society of America (ASA)
- Published
- 1981-03-01
- Volume
- 69
- Issue
- 3
- Pages
- 696-701
- ISSN
- 0001-4966 (ISSN-L)
- 1520-8524
- OpenAlex
- W2161589858
- Cited by
- 508
- References
- 0
- FWCI
- 5.63
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Kramers–Kronig relationship between ultrasonic attenuation and phase velocity. https://app.cochat.ai/papers/10.1121/1.385566
- The paper
- O’Donnell, M., Jaynes, E. T., & Miller, J. G. (1981). Kramers–Kronig relationship between ultrasonic attenuation and phase velocity. The Journal of the Acoustical Society of America. https://doi.org/10.1121/1.385566
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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