Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838998 | Nonlinear Analysis: Real World Applications | 2009 | 12 Pages |
Abstract
We obtain three conditions on the phase speeds of the longitudinal and transverse waves propagating along the longitudinal normals in a crystal so that each of these conditions guarantees existence of acoustic axes in this crystal. The result is based on the properties of the rational-valued topological degree and of the index of a singular point for some classes of discontinuous mappings. In addition, we give an upper estimate of the number of acoustic axes in a crystal and show some interrelation between their indices.
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Authors
Boris M. Darinskii, Dmitry A. Vorotnikov, Victor G. Zvyagin,