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- Perfectly_matched_layer abstract "A perfectly matched layer (PML) is an artificial absorbing layer for wave equations, commonly used to truncate computational regions in numerical methods to simulate problems with open boundaries, especially in the FDTD and FE methods. The key property of a PML that distinguishes it from an ordinary absorbing material is that it is designed so that waves incident upon the PML from a non-PML medium do not reflect at the interface—this property allows the PML to strongly absorb outgoing waves from the interior of a computational region without reflecting them back into the interior.PML was originally formulated by Berenger in 1994 for use with Maxwell's equations, and since that time there have been several related reformulations of PML for both Maxwell's equations and for other wave equations. Berenger's original formulation is called a split-field PML, because it splits the electromagnetic fields into two unphysical fields in the PML region. A later formulation that has become more popular because of its simplicity and efficiency is called uniaxial PML or UPML, in which the PML is described as an artificial anisotropic absorbing material. Although both Berenger's formulation and UPML were initially derived by manually constructing the conditions under which incident plane waves do not reflect from the PML interface from a homogeneous medium, both formulations were later shown to be equivalent to a much more elegant and general approach: stretched-coordinate PML. In particular, PMLs were shown to correspond to a coordinate transformation in which one (or more) coordinates are mapped to complex numbers; more technically, this is actually an analytic continuation of the wave equation into complex coordinates, replacing propagating (oscillating) waves by exponentially decaying waves. This viewpoint allows PMLs to be derived for inhomogeneous media such as waveguides, as well as for other coordinate systems and wave equations.".
- Perfectly_matched_layer wikiPageExternalLink watch?v=XcL9iEK0GDY.
- Perfectly_matched_layer wikiPageID "4262792".
- Perfectly_matched_layer wikiPageRevisionID "604840471".
- Perfectly_matched_layer hasPhotoCollection Perfectly_matched_layer.
- Perfectly_matched_layer subject Category:Numerical_differential_equations.
- Perfectly_matched_layer subject Category:Partial_differential_equations.
- Perfectly_matched_layer subject Category:Wave_mechanics.
- Perfectly_matched_layer type Abstraction100002137.
- Perfectly_matched_layer type Communication100033020.
- Perfectly_matched_layer type DifferentialEquation106670521.
- Perfectly_matched_layer type Equation106669864.
- Perfectly_matched_layer type MathematicalStatement106732169.
- Perfectly_matched_layer type Message106598915.
- Perfectly_matched_layer type NumericalDifferentialEquations.
- Perfectly_matched_layer type PartialDifferentialEquation106670866.
- Perfectly_matched_layer type PartialDifferentialEquations.
- Perfectly_matched_layer type Statement106722453.
- Perfectly_matched_layer comment "A perfectly matched layer (PML) is an artificial absorbing layer for wave equations, commonly used to truncate computational regions in numerical methods to simulate problems with open boundaries, especially in the FDTD and FE methods.".
- Perfectly_matched_layer label "Couche absorbante parfaitement adaptée".
- Perfectly_matched_layer label "Perfectly matched layer".
- Perfectly_matched_layer sameAs Couche_absorbante_parfaitement_adaptée.
- Perfectly_matched_layer sameAs m.0bs_14.
- Perfectly_matched_layer sameAs Q15101726.
- Perfectly_matched_layer sameAs Q15101726.
- Perfectly_matched_layer sameAs Perfectly_matched_layer.
- Perfectly_matched_layer wasDerivedFrom Perfectly_matched_layer?oldid=604840471.
- Perfectly_matched_layer isPrimaryTopicOf Perfectly_matched_layer.