Surface acoustic waves in rotating orthorhombic crystals

TL;DR

This paper investigates how surface acoustic waves propagate in rotating orthorhombic crystals, deriving explicit equations for wave speed that account for rotation effects like Coriolis and centrifugal accelerations.

Contribution

It provides the first explicit secular equation for surface wave speed in rotating orthorhombic crystals, highlighting the dispersive nature due to rotation.

Findings

Surface wave speed is dispersive in rotating crystals.

Both Coriolis and centrifugal effects are significant at all rotation rates.

Explicit secular equation for wave speed is derived.

Abstract

The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half-space is cut along a plane normal to one of these axes, the wave travels in the direction of another, and the rotation occurs at a uniform rate about any of the three axes. The secular equation for the surface wave speed is found explicitly; in contrast to the non-rotating case, it is dispersive (frequency-dependent). Both Coriolis and centrifugal accelerations appear in the equations of motion: none can be neglected in favor of the other, even at small rotation rates.