Transformation Ray Method: Controlling High Frequency Elastic Waves

TL;DR

This paper introduces a transformation ray method based on elastic ray theory to precisely control ray paths of high frequency elastic waves, with approximate control over energy distribution, demonstrated through numerical examples.

Contribution

The paper presents a novel elastic ray theory-based transformation method for controlling high frequency elastic waves, including exact ray path control and approximate energy distribution management.

Findings

Ray paths can be controlled exactly.

Energy distribution along rays is approximately controlled.

Numerical example demonstrates method effectiveness.

Abstract

A transformation method based on elastic ray theory is proposed to control high frequency elastic waves. We show that ray path can be controlled in an exact manner, however energy distribution along the ray is only approximately controlled. A numerical example of an elastic rotator is provided to illustrate the method and to access the approximation. The proposed theory may be found potential applications in seismic wave protection and structure health monitoring.