A perfectly matched layer for the absorption of electromagnetic waves

By Jean-Pierre Bérenger. 1994

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Physics informed deep learning for computational elastodynamics without labeled data (2020, background): “(or semi-innite) domain. To reduce the innite/semiinnite domain to a truncated computation domain, researchers usually resort to the articial absorbing layers (e.g., perfectly matched layer (PML) [60]) or the enlargement of the computation domain to avoid the wave re ection issue. These treatments w”
Dynamic rupture simulation of non-planar faults with a finite-difference approach (2004, methodology): “This is the case when modelling a half-space bounded by the plane containing the crack (e.g. Madariaga 1976; Das & Aki 1977).”
ANALYTICAL AND NUMERICAL STUDIES OF A FINITE ELEMENT PML FOR THE HELMHOLTZ EQUATION (2000, background): “For a load distribution cosnθ, the normalized exact solution is u = H (1) n (kr) cosnθ/H (1) n (ka).”
Simulations of Ground Motion in the Los Angeles Basin Based upon the Spectral-Element Method (2004, methodology): “More accurate absorbing boundary conditions, such as the perfectly matched layer (e.g., Bérenger, 1994; Chew and Liu, 1996; Collino and Tsogka, 2001; Komatitsch and Tromp, 2003), could be used instead, but, because we use a large mesh, the simpler paraxial conditions are sufficient.”
An efficient multiscale method for time-domain waveform tomography (2009, unknown): “Berenger, 1994; Chew and Liu, 1996; Zeng et al., 2001; Festa and Nielson, 2003" are used at the other boundaries.”
Two-dimensional permittivity and conductivity imaging by full waveform inversion of multioffset GPR data: a frequency-domain quasi-Newton approach (2014, methodology): “Perfectly matched layers (PML) are used to absorb the waves at the boundary of the medium (Berenger 1994).”
An unsplit convolutional perfectly matched layer improved at grazing incidence for seismic wave propagation in poroelastic media (2008, methodology): “In terms of numerical simulation of wave propagation, as exlained in Komatitsch and Martin 2007 , the PML, first introduced or Maxwell’s equations by Bérenger 1994 , has been developed to fficiently absorb outgoing waves reaching the artificial edges of the omputational domain.”
An unsplit convolutional perfectly matched layer technique improved at grazing incidence for the viscoelastic wave equation (2009, background): “As explained for instance in Komatitsch & Martin (2007) and Martin et al. (2008a), the perfectly matched layer (PML), intro- duced by Bérenger (1994) for Maxwell’s equations, avoids many (but not all) of these drawbacks.”
Hybridizable discontinuous Galerkin p‐adaptivity for wave propagation problems (2013, methodology): “A PML is used to avoid reflections from outgoing waves, see for instance [40] for a general presentation.”
In-plane acoustic reflectors for reducing effective anchor loss in lateral–extensional MEMS resonators (2011, methodology): “The PML was initially applied to electromagnetic problems [37] but has been extended to elastic structures and previously used to characterize out-ofplane anchor loss in a disk resonator [10].”
An hp-adaptive discontinuous Galerkin finite-element method for 3-D elastic wave modelling (2010, methodology): “An efficient way to mimic such an infinite medium can be achieved with PMLs, which was initially developed by Berenger (1994) for electromagnetics, and adapted for elastodynamics by Chew & Liu (1996).”
A perfectly matched layer absorbing boundary condition for the second-order seismic wave equation (2003, background): “D problems is straightforward (e.g. Bérenger 1996; Chew & Liu 1996), and the case of the corners of the model can be handled by combining different PMLs written along different grid axes (e.g. Bérenger 1994; Collino & Tsogka 2001).”