Axisymmetric Waves in a Waterlike Cylinder

Abstract— The results of an analytical study of the propagation of axisymmetric normal waves in a solid circular waveguide made of a waterlike medium are presented. A waterlike medium is a medium in which the velocity of shear waves is significantly lower than the velocity of longitudinal waves. It is shown that the propagation velocities of normal waves are approximately equal to the propagation velocities in a liquid cylinder. This result is radically different from the common statement in the literature that the propagation velocities of normal waves at high frequencies are approximately equal to the velocity of a Rayleigh wave at a flat boundary. The correction to the waterlike approximation is calculated, and the contributions of the longitudinal and shear components of the fields for normal waves are obtained. An experimental illustration is provided confirming the results obtained.