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Updated: Aug 30, 2026

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Diffraction and attenuation of a tone burst in mono-relaxing media
Yefim Dain1, Richard M Lueptow
1Department of Mechanical Engineering, 2145 Sheridan Road, Northwestern University, Evanston, Illinois 60208, USA.
Abstract:
The influence of intrinsic absorption in a relaxing medium and the resulting three-dimensional diffraction correction of the magnitude of the acoustic pressure averaged over the surface of a receiver is investigated for a tone burst. A rigorous formula for the damped acoustic pressure average at the receiver was obtained for arbitrary pulsed waves in a mono-relaxing medium. Depending on the pulse oscillation frequency, envelope duration, and relaxation frequency of the media, the plane wave burst envelope can be reduced, amplified, or otherwise deformed.
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