Abstract
The reflection of a plane, elastic wave in quartz is discussed. Numerical solution has been obtained for quasilongitudinal and quasitransverse waves incident upon the xy, xz, and yz crystal planes for angles less than critical. The angles of the reflected wave vectors, the associated reflection coefficients, and the directions of the energy flux vectors for the reflected waves have been calculated. The numerical results indicate that an incident critical angle occurs when a reflected wave has a Poynting vector parallel to the boundary as suggested in an earlier paper [E. G. Henneke II, J. Acoust. Soc. Amer. 51, 210 (1972)]. In some incidents, the wave vector of the reflected wave may be pointing in a direction in free space, but if its Poynting vector is directed internally, the reflection coefficient is nonzero. In addition, it has been found that for some incident angles greater than critical, three quasitransverse waves may be reflected, and the boundary conditions are satisfied without the necessity of assuming a surface wave. [This work was supported by the National Science Foundation].
Published Version
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