Acoustic X-wave reflection and transmission at a planar interface: Spectral analysis

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Acoustical Society of America

The spectral structure of a three-dimensional X-wave pulse incident on a planar surface of discontinuity is examined. Introducing a novel superposition of azimuthally dependent pulsed plane waves, it is shown for oblique incidence that the reflected pulse has a localized wave structure. On the other hand, the transmitted field maintains its localization up to a certain distance from the interface, beyond which it starts disintegrating. An estimate of the localization range of the transmitted pulse is established; also, the parameters affecting the localization range are identified. The reflected and transmitted fields are deduced for X-waves incident from either a slower medium or a faster one. For the former case the evanescent fields in the second medium are calculated and their explicit time dependence is deduced for a normally incident X-wave. Furthermore, at near-critical incidence the transmitted pulse exhibits significant pulse compression and focusing.

Interface structure, Acoustic analysis, Acoustic spectrum analyzers, Acoustic waves, Pulse compression
Shaarawi, A. M., Besieris, I. M., Attiya, A. M., & El-Diwany, E. (2000). Acoustic X-wave reflection and transmission at a planar interface: Spectral analysis. Journal of the Acoustical Society of America, 107(1), 70-86. doi: 10.1121/1.428345