Electromagnetic-thermal simulation of Lorentz media by the DGTD method

In this paper, the transient electromagnetic-thermal simulation via the discontinuous Galerkin time domain (DGTD) method is performed for the Lorentz medium, which is a kind of dispersive material with frequency-dependent permittivity. To avoid doing the convolution in the time domain, the auxiliary differential equation (ADE) method is adopted to manipulate the dispersive relation. The transient dielectric loss of Lorentz media is derived according to the electrodynamic approach and is treated as the heat source for transient thermal simulation. The accuracy and validity of the proposed method are demonstrated by the numerical example.