Phase cancellation effects can compromise the integrity of ultrasonic measurements performed with phase sensitive receiving apertures. A lack of spatial coherence of the ultrasonic field incident on a phase sensitive receiving array can produce inaccuracies of the measured attenuation coefficient and phase velocity. The causal (Kramers-Kronig) link between these two quantities in the presence of phase distortion is investigated using two plastic polymer materials, and , that exhibit attenuation coefficients that increase linearly with frequency, in a fashion analogous to that of soft tissue. Flat and parallel plates were machined to have a step of a thickness corresponding to an integer number of half wavelengths within the bandwidth investigated, 3 to . Insonification of the stepped portion of each plate produces phase cancellation artifacts at the receiving aperture and, therefore, in the measured frequency dependent attenuation coefficient. Dispersion predictions using two different forms of the Kramers-Kronig relations were performed for the flat and the stepped regions of each plastic plate. Despite significant phase distortion and a detection system sensitive to these aberrations, the Kramers-Kronig link between the apparent attenuation coefficient and apparent phase velocity dispersion remains intact.
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July 2007
July 01 2007
Is the Kramers-Kronig relationship between ultrasonic attenuation and dispersion maintained in the presence of apparent losses due to phase cancellation? Available to Purchase
Adam Q. Bauer;
Adam Q. Bauer
Department of Physics,
Washington University in Saint Louis
, Saint Louis, Missouri 63130
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Karen R. Marutyan;
Karen R. Marutyan
Department of Physics,
Washington University in Saint Louis
, Saint Louis, Missouri 63130
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Mark R. Holland;
Mark R. Holland
Department of Physics,
Washington University in Saint Louis
, Saint Louis, Missouri 63130
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James G. Miller
James G. Miller
Department of Physics,
Washington University in Saint Louis
, Saint Louis, Missouri 63130
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Adam Q. Bauer
Karen R. Marutyan
Mark R. Holland
James G. Miller
Department of Physics,
Washington University in Saint Louis
, Saint Louis, Missouri 63130J. Acoust. Soc. Am. 122, 222–228 (2007)
Article history
Received:
January 25 2007
Accepted:
March 29 2007
Citation
Adam Q. Bauer, Karen R. Marutyan, Mark R. Holland, James G. Miller; Is the Kramers-Kronig relationship between ultrasonic attenuation and dispersion maintained in the presence of apparent losses due to phase cancellation?. J. Acoust. Soc. Am. 1 July 2007; 122 (1): 222–228. https://doi.org/10.1121/1.2735803
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