Low-frequency expansions for a penetrable ellipsoidal scatterer in an elastic medium

✍ Scribed by K. Kiriaki

• Publisher: Springer
• Year: 1989
• Tongue: English
• Weight: 811 KB
• Volume: 23
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00128904

✦ Synopsis

In this paper the scattering of a plane longitudinal or transverse wave by a penetrable ellipsoid in an isotropic and homogeneous elastic medium in the low-frequency region is examined. Using low-frequency expansions the scattering problem is reduced to a sequence of potential problems. Explicit closed-form solutions for the zeroth and first-order approximations are obtained. The solution of the problem was made possible by using an analytical technique based on Papkovich-Grodski-Neuber potentials. The normalized scattering amplitudes and the scattering cross-section are evaluated up to k 3 -order and k 4 -order terms, respectively. * The author would like to thank the Greek Ministry of Research and Technology for partially supporting the present work. * The symbol "-" on top of a capital letter denotes a dyadic (second-rank tensor).