An efficient DGTD implementation of the Uniaxial Perfectly Matched Layer

We proposed a straightforward and highly efficient DGTD implementation of the Uniaxial Perfectly Matched Layer (UPML). Discontinuous Galerkin method (DGM) is imposed on both the UPML Maxwell´s curl equations and the auxiliary differential equations (ADE). By recording the intermediate results in the updated processes of E-fields and H-fields, the computation time for auxiliary variables in ADE can be reduced greatly within each time step. Moreover, the auxiliary variables and Riemann flux on each elemental interface are treated dependently here, using which, an excellent stable PML scheme can be obtained. Some examples demonstrate the effectiveness of this UPML, and the proposed method behaves much more stable than the well-posed PML, which is commonly used as PML absorber in DGTD algorithm currently.