ISSN:
0044-2275
Keywords:
Key words. Cubic crystals, inhomogeneous plane waves, acoustical tensor, slowness bivector, elliptical polarization, acoustic axes.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract. The purpose of this paper is to present new special explicit inhomogeneous plane wave solutions of the linearized equations of motion for elastic cubic crystals. It is based upon the “directional-ellipse” method which leads to an eigenvalue problem for the complex symmetric acoustical tensor. The solutions are obtained by considering a special case for which the determination of the three complex eigenvalues of this tensor reduces to finding the three complex cubic roots of a real positive number. Explicit simple expressions are presented for the slowness and amplitude bivectors.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00001525
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