A Memory-efficient Implementation of Perfectly Matched Layer with Smoothly-varying Coefficients in Discontinuous Galerkin Time-Domain Method

Abstract

Wrapping a computation domain with a perfectly matched layer (PML) is one of the most effective methods of imitating/approximating the radiation boundary condition in Maxwell and wave equation solvers. Many PML implementations often use a smoothly-increasing attenuation coefficient to increase the absorption for a given layer thickness, and, at the same time, to reduce the numerical reflection from the interface between the computation domain and the PML. In discontinuous Galerkin time-domain (DGTD) methods, using a PML coefficient that varies within a mesh element requires a different mass matrix to be stored for every element and therefore significantly increases the memory footprint. In this work, this bottleneck is addressed by applying a weight-adjusted approximation to these mass matrices. The resulting DGTD scheme has the same advantages as the scheme that stores individual mass matrices, namely higher accuracy (due to reduced numerical reflection) and increased meshing flexibility (since the PML does not have to be defined layer by layer) but it requires significantly less memory.

References in corpus (5)

• Steady-state Simulation of Semiconductor Devices using Discontinuous Galerkin Methods
• A weight-adjusted discontinuous Galerkin method for the poroelastic wave equation: penalty fluxes and micro-heterogeneities
• Multiphysics Simulation of Plasmonic Photoconductive Devices using Discontinuous Galerkin Methods
• A hybridizable discontinuous Galerkin method for simulation of electrostatic problems with floating potential conductors
• High order weight-adjusted discontinuous Galerkin methods for wave propagation on moving curved meshes

Cited by in corpus (4)

• Analysis of Screening Effects on Terahertz Photoconductive Devices using a Fully-Coupled Multiphysics Approach
• Efficient Discontinuous Galerkin Scheme for Analyzing Nanostructured Photoconductive Devices
• A Coupled Hybridizable Discontinuous Galerkin and Boundary Integral Method for Analyzing Electromagnetic Scattering
• Calculation of Photocarrier Generation from Optical Absorption for Time-domain Simulation of Optoelectronic Devices