Integral equation approach for analyzing electromagnetic radiation of elastic objects

Electromagnetic (EM) radiation can be produced by mechanical excitation for certain elastic materials like piezoelectric material. The problem involves both electrodynamic and elastodynamic processes and the coupled Maxwell´s equations and elastic wave equations are generally solved in their partial differential equation (PDE) form. In this work, we develop an integral equation approach for solving the problem and the coupled integral equations are derived from their PDE counterparts by introducing an effective current density resulting from the strain tensor of elastic materials. A typical numerical example is presented to illustrate the approach and good results can be observed.