The wave bivector formalism associated with circumferential leaky waves

The Journal of the Acoustical Society of America

PubMedID: 10923866

Padilla F, Poiree B, Talmant M, Quentin G. The wave bivector formalism associated with circumferential leaky waves. J Acoust Soc Am. 2000;108(1):25-30.
It is shown that the circumferential internal waves propagating around an elastic cylinder can be locally seen as plane evanescent waves, at any observation point inside the surrounding fluid. This is done by direct calculation of the associated complex bivector. The exact anatomy of the wave is detailed and the phase propagation paths are found to be curved, as expected. The transition to the plane interface is achieved. Polarization ellipses associated with the acoustic displacement vector are described. The additional low evanescence assumption leads to conventional ray interpretation with identification of the ray tube divergence coefficients, and the wavefront is found to be the involute of a circle.