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IMA Journal of Applied Mathematics Advance Access published online on February 28, 2008
IMA Journal of Applied Mathematics, doi:10.1093/imamat/hxn002
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© The Author 2008. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

The fundamental matrix of the system of linear elastodynamics in hexagonal media. Solution to the problem of conical refraction

Norbert Ortner and Peter Wagner{dagger}

Institut für Mathematik, Universität Innsbruck, Technikerstraße 13, A-6020 Innsbruck, Austria

{dagger} Email: wagner{at}mat1.uibk.ac.at

Received on January 12, 2007; Accepted on October 30, 2007

An explicit integral representation by single definite integrals of the fundamental matrix (Green's tensor) of the time-dependent system of hexagonal elastic media is derived. Thereby the problem of internal conical refraction in such media is solved.

Keywords: fundamental matrix; Green's tensor; transversely isotropic media; hexagonal crystals; wave propagation; conical refraction; wave-front lids.


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