Optimization of the Perfectly Matched Layer for the Finite-Element Time-Domain Method

Abstract

Abstract-We present a new formulation to implement the complex frequency shifted-perfectly matched layer (CFS-PML) for boundary truncation in 2-D vector finite-element time-domain method directly applied to Maxwell's equations. It is shown that the proposed method is highly absorptive to evanescent modes when computing the wave interaction of elongated structures or sharp corners. The impact of the CFS-PML parameters on the reflection error is investigated and optimal choices of these parameters are derived.Index Terms-Absorbing boundary conditions (ABC), finiteelement time-domain (FETD) method, Maxwell's equations, perfectly matched layer (PML).

A Fast Explicit Fetd Method Based on Compressed Sensing

“…This mixed method can also be considered as a generalization of the finite-difference time-domain (FDTD) method for unstructured grids. Due to its potential effect to simulate free space conveniently by introducing perfectly matched layer [4] and conserve energy over long period time in conjugation with symplectic method [5], more attention has been devoted to it. However, the computation of interpolation coefficients of global variables E and B has to solve two matrix equations at each time step in this approach, which makes the calculation extremely expensive in a long period time simulation.…”

Complex frequency shifted-perfectly matched layer for the finite-element time-domain method

“…In [7], an implementation of the two-dimensional field-splitting formulation of the PML has been presented and in [8] and [9], the UPML formulation has been implemented and investigated for threedimensional electromagnetic problems. We have developed, in a most recent paper [10], a new formulation for the FETD method augmented with the CFS-PML and applied it to twodimensional radiating problems. In [10], the CFS-PML implementation for the FETD method which is applied directly to the Maxwell equations has been introduced; whereas all of the previous published papers have implemented the UPML for the FETD solution of the vector wave equation.…”

“…We have developed, in a most recent paper [10], a new formulation for the FETD method augmented with the CFS-PML and applied it to twodimensional radiating problems. In [10], the CFS-PML implementation for the FETD method which is applied directly to the Maxwell equations has been introduced; whereas all of the previous published papers have implemented the UPML for the FETD solution of the vector wave equation.…”

Perfectly matched layers backed by the second‐order waveguide impedance boundary condition for the time‐domain finite‐element solution of waveguide problems

“…It was also used for the truncation of the frequency-domain finite-element method (FEM) [4,6]. In recent years, PML for TDFEM has been receiving much attention, and a number of articles have reported their detailed study in terms of the quality of a PML in the TDFEM scheme [7][8][9][10][11][12]. It is known that by appropriately choosing the constitutive parameters of the PML slab, it is not difficult to realize a very low reflection level.…”