Bradley Department of Electrical and Computer EngineeringCairo University. Department of Engineering Physics and MathematicsElectronic Research Institute. Department of Microwave EngineeringShaarawi, Amr M.Besieris, Ioannis M.Attiya, Ahmed M.El-Diwany, Essam2015-05-262015-05-262000-01-01Shaarawi, 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: 10.1121/1.4283450001-4966http://hdl.handle.net/10919/52600The 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.17 pagesapplication/pdfenIn CopyrightInterface structureAcoustic analysisAcoustic spectrum analyzersAcoustic wavesPulse compressionAcoustic X-wave reflection and transmission at a planar interface: Spectral analysisArticle - Refereedhttp://scitation.aip.org/content/asa/journal/jasa/107/1/10.1121/1.428345Journal of the Acoustical Society of Americahttps://doi.org/10.1121/1.428345