Experimental verification of the Kramers-Kronig relationship for acoustic waves
- 1 July 1990
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
- Vol. 37 (4), 286-294
- https://doi.org/10.1109/58.56489
Abstract
A spectral technique for effectively and accurately measuring acoustic attenuation over a wide frequency range is reported. The spectral technique for phase measurement developed by W. Sachse and Y.H. Pao (1978) was used to determine the acoustic dispersion. For acoustic waves, a very simple and useful Kramers-Kronig relationship was previously derived by M. O'Donnell, E.T. Jaynes, and J.G. Miller (1981). The attenuation was calculated, using this relationship, from the measured dispersion and then compared with the attenuation that was measured independently. Dispersion was deduced from the measured attenuation and compared with the measured dispersion. The results of two highly attenuative specimens are presented. The agreement between the calculated attenuation and measured attenuation is excellent. The deduced dispersion also agrees well with the measured one. This agreement verifies the simple Kramers-Kronig relationship used. It further shows the accuracy of the spectral techniques for attenuation and dispersion measurements over a wide frequency range.<>Keywords
This publication has 12 references indexed in Scilit:
- Nearly Local Kramers-Kronig Relations Applied to Porous EpoxyPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1987
- Measurement of Ultrasound Attenuation Coefficient by a Multifrequency Echo Technique-Theory and Basic ExperimentsIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1986
- Acoustic Velocity and Attenuation Measurements in Thin Rods with Application to Temperature Profiling in Coal Gasification SystemsIEEE Transactions on Sonics and Ultrasonics, 1984
- On the Frequency Dependence of Attenuation in Normal and Fatty LiverIEEE Transactions on Sonics and Ultrasonics, 1983
- Kramers–Kronig relationship between ultrasonic attenuation and phase velocityThe Journal of the Acoustical Society of America, 1981
- On the determination of phase and group velocities of dispersive waves in solidsJournal of Applied Physics, 1978
- Ultrasonic Velocity and Attenuation: Measurement Methods with Scientific and Industrial ApplicationsPublished by Elsevier ,1976
- Parametric Estimation of the Acoustic Attenuation Coefficient Slope for Soft TissuePublished by Institute of Electrical and Electronics Engineers (IEEE) ,1976
- Light Waves in Thin Films and Integrated OpticsApplied Optics, 1971
- Dispersive body wavesJournal of Geophysical Research, 1962