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The Quarterly Journal of Mechanics and Applied Mathematics 1976 29(1):15-24; doi:10.1093/qjmam/29.1.15
© 1976 by Oxford University Press
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A NOTE ON OBLIQUE REFLECTIONS IN ELASTIC CRYSTALS

T. W. WRIGHT

( Ballistic Research Laboratories Aberdeen Proving Ground, Md., 21005, U.S.A. )

It is well known that the angles of reflected or transmitted waves, which are generated by the incidence of a plane wave on a plane boundary of a crystalline solid, can be computed from the roots of a characteristic sextic equation. In this note it is shown that if the sextic has all real roots, then the amplitude of the reflected and transmitted waves may be found uniquely for all the usual boundary conditions unless the energy for some wave propagates parallel to the boundary. In the latter case, two examples are given; one in which the boundary determinant is nonsingular and one in which it is singular.


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