Electromagnetic fields induced in a uniaxial multiferroic material by a point source or an ellipsoidal inclusion

Multiferroic materials possess two or more types of orders simultaneously that couple the electric and magnetic fields, rendering them a rich variety of microstructural phenomena and macroscopic properties. In this paper, we derive explicit closed-form expressions of magnetoelectric Green's functions for uniaxial multiferroic materials induced by a point electric or magnetic charge, and use them to determine the electromagnetic fields in an ellipsoidal inclusion with spontaneous polarization and magnetization embedded in a multiferroic material. Numerical results show that for a typical multiferroic composite, it is easier to induce magnetic field by electric charge or spontaneous polarization, suggesting that it is probably easier to manipulate the electric polarization by a magnetic field in those composites. We expect our solutions to have a wide range of applications in mesoscopic analysis of multiferroic materials.