An Auxiliary Differential Equation Formulation for the Complex-Frequency Shifted PML

作者：Gedney Stephen D^*; Zhao Bo

来源：IEEE Transactions on Antennas and Propagation, 2010, 58(3): 838-847.

DOI：10.1109/TAP.2009.2037765

• Absorbing boundary conditions
• finite-difference time-domain (FDTD) methods
• finite element methods
• perfectly matched layer

An efficient auxiliary-differential equation (ADE) form of the complex frequency shifted perfectly matched layer (CPML) absorbing media derived from a stretched coordinate PML formulation is presented. It is shown that a unit step response of the ADE-CPML equations leads to a discrete form that is identical to Roden's convolutional PML method for FDTD implementations. The derivation of discrete difference operators for the ADE-CPML equations for FDTD is also presented. The ADE-CPML method is also extended in a compact form to a multiple-pole PML formulation. The advantage of the ADE-CPML method is that it provides a more flexible representation that can be extended to higher-order methods. In this paper, it is applied to the discontinuous Galerkin finite element time-domain (DGFETD) method. It is demonstrated that the ADE-CPML maintains the exponential convergence of the DGFETD method.

• 出版日期2010-3