Diffraction by a wedge in an acoustic constant density medium
Journal Article
·
· Geophysical Prospecting; (United States)
- Technical Univ. of Denmark, Lyngby (Denmark). Lab. of Applied Mathematical Physics
A new method is presented for solving the 2D problem of diffraction of a plane wave by a wedge of arbitrary angle in a purely acoustic, constant-density medium with different constant compressional wave speeds inside and outside the wedge. The diffraction problem is formulated as integral equations, and a wavenumber-frequency representation of the scattered field is obtained. With the aid of the Cagniard-de Hoop method, exact analytical expressions in the space-time domain are obtained for the different wave constituents, i.e. geometric optical scattered waves and edge diffracted waves including head waves. These expression can be computed to any degree of accuracy within reasonable computation times on a computer, and the semi-analytical method of solution presented thus constitutes a means of constructing reference solutions for wedge configuration. Such highly accurate reference solutions are of importance for verification of results that include diffraction phenomena modeled by general numerical approximate methods, e.g. finite differences, finite elements and spectral methods. Examples of such applications of the method of solution are given.
- OSTI ID:
- 5505287
- Journal Information:
- Geophysical Prospecting; (United States), Journal Name: Geophysical Prospecting; (United States) Vol. 41:7; ISSN GPPRAR; ISSN 0016-8025
- Country of Publication:
- United States
- Language:
- English
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