Mathematical methods for the characterization of ultrasound in anisotropic materials

Brian O'Neill, Roman Gr Maev

Research output: Contribution to journalReview articlepeer-review

4 Scopus citations


Although the fundamental equations for the propagation of elastic and acoustic waves in anisotropic materials have not changed in more than a 100 years, the last few decades have seen a surge in interest in the topic. Much of this interest stems from the growing need for characterization of an increasing number of exotic materials. The intent of this paper is to review, for the benefit of beginning researchers in acoustics and ultrasonics, the fundamental phenomena related to elastic wave propagation in anisotropic media. We also present the most common and interesting theoretical methods developed over the past 20 years to model bulk wave propagation in such media. The methods discussed include plane wave superpositions, ray asymptotic theory, paraxial beams, and Green's functions. More peripheral issues, including anisotropic effects combined with various other exotic effects, are dealt with in the bibliography.

Original languageEnglish (US)
Pages (from-to)803-821
Number of pages19
JournalCanadian Journal of Physics
Issue number9
StatePublished - Sep 2000

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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