Propagation of acoustic waves in a von-K\'arm\'an vortex street like configuration of disclinations

TL;DR

This paper demonstrates that a 1D array of topological defects in crystals can guide acoustic waves depending on incident angle, with implications for understanding mantle dynamics through wedge disclinations.

Contribution

It introduces a simple model linking topological defects to acoustic wave guidance, providing insights into geophysical mantle processes.

Findings

Acoustic wave guidance depends on incident angle in the defect array.

The model suggests a mechanism for mantle dynamics involving wedge disclinations.

Topological defects influence wave propagation in crystalline environments.

Abstract

We show that a simple model of 1D array of topological defects in a crystalline environment is able to guide acoustic waves, depending on the angle of the incident wave. We comment on a recently proposed geophysical mechanism explaining the mantle dynamics by the presence, in some crystalline materials there, of wedge disclinations.