Integral approximation method for calculating ultrasonic beam propagation in anisotropic materials

Brian E. O'Neill, Roman Gr Maev

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

Plane-wave solutions to the acoustic wave equations in a generally anisotropic solid are reviewed, along with their connection to geometric ray theory. A Fourier-transform formulation of the field of a focused beam (coherent point source) passed from a liquid couplant to an anisotropic specimen through a plane surface is derived. The integral is approximated asymptotically using the stationary-phase method. The result for isotropic media is derived analytically to facilitate a direct comparison to the ray theory. The application of this method to the anisotropic case is illustrated, using the real-world example of the austenitic stainless-steel weld.

Original languageEnglish
Pages (from-to)5479-5485
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume58
Issue number9
StatePublished - Sep 1 1998
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

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