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Fa L, Brown RL, Castagna JP. Anomalous postcritical refraction behavior for certain transversely isotropic media. J Acoust Soc Am. 2006;120(6):3479-92doi: 10.1121/1.2360419.
Fa, L., Brown, R. L., & Castagna, J. P. (2006). Anomalous postcritical refraction behavior for certain transversely isotropic media. The Journal of the Acoustical Society of America, 120(6), 3479-92. https://doi.org/10.1121/1.2360419
Fa, Lin, et al. "Anomalous postcritical refraction behavior for certain transversely isotropic media." The Journal of the Acoustical Society of America vol. 120,6 (2006): 3479-92. doi: https://doi.org/10.1121/1.2360419
Fa L, Brown RL, Castagna JP. Anomalous postcritical refraction behavior for certain transversely isotropic media. J Acoust Soc Am. 2006 Dec;120(6):3479-92. doi: 10.1121/1.2360419. PMID: 17225378.
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J Acoust Soc Am. 2006 Dec;120(6):3479-92. doi: 10.1121/1.2360419.

Anomalous postcritical refraction behavior for certain transversely isotropic media.

The Journal of the Acoustical Society of America

Lin Fa, Ray L Brown, John P Castagna

Affiliations

  1. The Department of Electronics and Information Engineering, Xi'an Institute of Post and Telecommunication, Weiguo Road, Xi'an, Shaanxi 710121, People's Republic of China. [email protected]

PMID: 17225378 DOI: 10.1121/1.2360419

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.

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