Anomalous postcritical refraction behavior for certain transversely isotropic media

Journal of the Acoustical Society of America
By: , and 

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Abstract

Snell's law at the boundary between two transversely isotropic media with a vertical axis of symmetry (VTI media) can be solved by setting up a fourth order polynomial for the sine of the reflection/transmission angles. This approach reveals the possible presence of an anomalous postcritical angle for certain transversely isotropic media. There are thus possibly three incident angle regimes for the reflection/refraction of longitudinal or transverse waves incident upon a VTI medium: precritical, postcritical/preanomalous, and postanomalous. The anomalous angle occurs for certain strongly anisotropic media where the required root to the phase velocity equation must be switched in order to obey Snell's law. The reflection/transmission coefficients, polarization directions, and the phase velocity are all affected by both the anisotropy and the incident angle. The incident critical angles are also effected by the anisotropy. ?? 2006 Acoustical Society of America.
Publication type Article
Publication Subtype Journal Article
Title Anomalous postcritical refraction behavior for certain transversely isotropic media
Series title Journal of the Acoustical Society of America
DOI 10.1121/1.2360419
Volume 120
Issue 6
Year Published 2006
Language English
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Journal of the Acoustical Society of America
First page 3479
Last page 3492
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