A Verlet Time-stepping Nodal DGTD Method for Electromagnetic Scattering and Radiation

In this paper, a discontinuous Galerkin time domain (DGTD) method is proposed to solve electromagnetic radiation and scattering problems. In this method, for the electromagnetic radiation problem, the dipole source excitation is introduced by the Total field / Scattering field (TF/SF) boundary condition. On the basis of TF/SF boundary condition, an equivalent principle (EP) based boundary condition is also introduced. For the electromagnetic scattering problem, the plane wave excitation is introduced by pure scattered field method. For all the cases, uniaxial perfectly matched layer (UPML) is used as the truncated boundary condition to enhance the reflection wave absorption. At the same time, the method uses nodal local basis function (for spatial discretization) and Verlet method (for time integration) to solve Maxwell equation. Numerical results show the effectiveness and accuracy of the algorithm.