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perfectly matched layers

Perfectly Matched Layers for time-harmonic transverse electric wave propagation in cylindrical and toroidal gyrotropic media

Perfectly Matched Layers for time-harmonic transverse electric wave propagation in cylindrical and toroidal gyrotropic media

... I. Introduction This paper deals with the numerical simulation of time-harmonic electromagnetic (EM) wave propagation. In such problems the time-harmonic Maxwell’s equations in the medium are complemented with suitable ...

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Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides

Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides

... PERFECTLY MATCHED LAYERS FOR THE WAVE EQUATION IN WAVEGUIDES ELIANE B ´ ECACHE ∗ AND MARYNA KACHANOVSKA ∗ ...erenger’s perfectly matched layers in the waveguides for an ...

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Application of Cagniard de Hoop Method to the Analysis of Perfectly Matched Layers

Application of Cagniard de Hoop Method to the Analysis of Perfectly Matched Layers

... Voluceau – BP 105- F78153 Le Chesnay (e-mail: patrick.joly@inria.fr) Abstract: We show how Cagniard de Hoop method can be used, first to obtain error estimates for the Perfectly Matched Layers in ...

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A general family of Perfectly Matched Layers for non necessarily convex domains

A general family of Perfectly Matched Layers for non necessarily convex domains

... Since introduced by Berenger [1], the Perfectly Matched Layers method (PML) has become a popular approach for non reflecting Absorbing Boundary Conditions (ABC) in the numerical solution[r] ...

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On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials

On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials

... This work deals with Perfectly Matched Layers (PMLs) in the context of dispersive media, and in particular for Negative Index Metamaterials (NIMs). We first present some properties of dispersive ...

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On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

... Cartesian Perfectly Matched Layers (PMLs) in the context of time-domain electro- magnetic wave propagation in a 3D unbounded anisotropic homogeneous medium modelled by a diagonal dielectric tensor is ...

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Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations

Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations

... artificial layers and alternative techniques have been developed, studied and used for decades (see ...the perfectly matched layers (PMLs) [ 6 , 13 , 15 , 18 , 43 ...

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Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of  stability

Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability

... Abstract . In this work we consider a problem of modelling of 2D anisotropic dispersive wave propa- gation in unbounded domains with the help of perfectly matched layers (PML). We study the Maxwell ...

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Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow

Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow

... absorbing layers in the manner of perfectly matched layers (PML), which were introduced by Bérenger [5] in the context of computational ...the layers of the entropy and vorticity waves, ...

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Stable perfectly matched layers for a class of anisotropic dispersive models. Part  II: Energy estimates

Stable perfectly matched layers for a class of anisotropic dispersive models. Part II: Energy estimates

... the perfectly matched layers (PML), introduced by B´ erenger [1, 2], is used ubiquitously in engineering and physics communities to compute a solution to a problem posed in an unbounded ...

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Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field

Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field

... the perfectly matched layer (PML) technique suggested by B´ erenger in his seminal articles [5, 6], which consists of surrounding the domain with an artificial ...the perfectly matched ...

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On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients

On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients

... loc if the negative permittivity does not lie in some critical interval whose definition depends on the shape of the device. When the latter has corners, for values inside the critical interval, unusual strong ...

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Perfectly Matched Layers for the heat and advection-diffusion equations

Perfectly Matched Layers for the heat and advection-diffusion equations

... In IUTAM Symposium on Computational Methods for Unbounded Domains (Boulder, CO, 1997), volume 49 of Fluid Mech. Appl., pages 245–254. Kluwer Acad. Publ., Dordrecht, 1998. [MPV98] R. Mittra, ¨ U. Pekel, and J. Veihl. A ...

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Perfectly matched layers in negative index metamaterials and plasmas

Perfectly matched layers in negative index metamaterials and plasmas

... R´ esum´ e. Ce travail porte sur la stabilit´ e des Couches Absorbantes Parfaitement Adapt´ ees (Perfectly Matched Layers, PMLs). La premi` ere partie est un r´ ecapitulatif de r´ esultats ant´ ...

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A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. Application to quantum relativistic laser physics

A simple pseudospectral method for the computation of the time-dependent Dirac equation with Perfectly Matched Layers. Application to quantum relativistic laser physics

... or perfectly matched lay- ers ...boundary. Perfectly Matched Layers are now widely used in many engineering and physics simulations codes [1, 12, 13, 15, 16, 17, 19, 34, 35, 42, 48, 49, ...

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Towards perfectly matched layers for time-dependent space fractional PDEs

Towards perfectly matched layers for time-dependent space fractional PDEs

... Finally, let us note that these boundary conditions cannot be a priori implemented into a Fourier pseudospectral approximation scheme [2, 3, 7, 14, 33, 40] based on FFTs since the enforced boundary conditions are not ...

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Absorbing boundary conditions and perfectly matched layers in wave propagation problems

Absorbing boundary conditions and perfectly matched layers in wave propagation problems

... 6 Conclusion We have designed absorbing boundary conditions and perfectly matched layers for some scalar second order partial differential operators: the Helmholtz equation and the wave equation. ...

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Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation

Stable Perfectly Matched Layers with Lorentz transformation for the convected Helmholtz equation

... Abstract Perfectly Matched Layers (PMLs) appear as a popular alternative to non-reflecting boundary conditions for wave-type ...stable perfectly matched layers for generally ...

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Perfectly matched layers for the convected Helmholtz equation

Perfectly matched layers for the convected Helmholtz equation

... Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois -[r] ...

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Anisotropic Perfectly Matched Layers for Elastic Waves in Cartesian and Curvilinear Coordinates

Anisotropic Perfectly Matched Layers for Elastic Waves in Cartesian and Curvilinear Coordinates

... We develop new numerical anisotropic perfectly matched layer (PML) boundaries for elastic waves in Cartesian, cylindrical and spherical coordinate systems. The elasticity tensor of this absorbing boundary ...

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