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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-type equations, such as elastodynamics, the linearized Euler equations, Helmholtz equations, and poroelasticity. 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 ee5390cem.htm.
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- Perfectly_matched_layer wikiPageRevisionID "659576221".
- Perfectly_matched_layer wikiPageWikiLink Acoustic_metamaterials.
- Perfectly_matched_layer wikiPageWikiLink Analytic_continuation.
- Perfectly_matched_layer wikiPageWikiLink Angular_frequency.
- Perfectly_matched_layer wikiPageWikiLink Auxiliary_differential_equation.
- Perfectly_matched_layer wikiPageWikiLink Birefringence.
- Perfectly_matched_layer wikiPageWikiLink Cagniard–de_Hoop_method.
- Perfectly_matched_layer wikiPageWikiLink Category:Numerical_differential_equations.
- Perfectly_matched_layer wikiPageWikiLink Category:Partial_differential_equations.
- Perfectly_matched_layer wikiPageWikiLink Category:Wave_mechanics.
- Perfectly_matched_layer wikiPageWikiLink Complex_number.
- Perfectly_matched_layer wikiPageWikiLink Convolution.
- Perfectly_matched_layer wikiPageWikiLink Coordinate_system.
- Perfectly_matched_layer wikiPageWikiLink Coordinate_transformation.
- Perfectly_matched_layer wikiPageWikiLink Discretization.
- Perfectly_matched_layer wikiPageWikiLink Dispersion_(optics).
- Perfectly_matched_layer wikiPageWikiLink Dispersion_relation.
- Perfectly_matched_layer wikiPageWikiLink Electromagnetic_field.
- Perfectly_matched_layer wikiPageWikiLink Evanescent_wave.
- Perfectly_matched_layer wikiPageWikiLink Evanescent_waves.
- Perfectly_matched_layer wikiPageWikiLink Exponential_decay.
- Perfectly_matched_layer wikiPageWikiLink Exponentially_decaying.
- Perfectly_matched_layer wikiPageWikiLink FDTD.
- Perfectly_matched_layer wikiPageWikiLink Finite-difference_time-domain_method.
- Perfectly_matched_layer wikiPageWikiLink Finite_element_method.
- Perfectly_matched_layer wikiPageWikiLink Function_(mathematics).
- Perfectly_matched_layer wikiPageWikiLink Group_velocity.
- Perfectly_matched_layer wikiPageWikiLink Integral.
- Perfectly_matched_layer wikiPageWikiLink Material_dispersion.
- Perfectly_matched_layer wikiPageWikiLink Maxwells_equations.
- Perfectly_matched_layer wikiPageWikiLink Negative_index_metamaterials.
- Perfectly_matched_layer wikiPageWikiLink Numerical_analysis.
- Perfectly_matched_layer wikiPageWikiLink Numerical_method.
- Perfectly_matched_layer wikiPageWikiLink Permeability_(electromagnetism).
- Perfectly_matched_layer wikiPageWikiLink Permittivity.
- Perfectly_matched_layer wikiPageWikiLink Phase_velocity.
- Perfectly_matched_layer wikiPageWikiLink Photonic_crystal.
- Perfectly_matched_layer wikiPageWikiLink Plane_wave.
- Perfectly_matched_layer wikiPageWikiLink Propagation_constant.
- Perfectly_matched_layer wikiPageWikiLink Quadratic_function.
- Perfectly_matched_layer wikiPageWikiLink Real_number.
- Perfectly_matched_layer wikiPageWikiLink Time_domain.
- Perfectly_matched_layer wikiPageWikiLink Transverse_mode.
- Perfectly_matched_layer wikiPageWikiLink Vacuum.
- Perfectly_matched_layer wikiPageWikiLink Wave_equation.
- Perfectly_matched_layer wikiPageWikiLink Waveguide.
- Perfectly_matched_layer wikiPageWikiLink Wavelength.
- Perfectly_matched_layer wikiPageWikiLinkText "PML".
- Perfectly_matched_layer wikiPageWikiLinkText "Perfectly matched layer".
- Perfectly_matched_layer wikiPageWikiLinkText "artificial absorbing boundary".
- Perfectly_matched_layer wikiPageWikiLinkText "perfectly matched layer".
- 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 hypernym Layer.
- Perfectly_matched_layer type AnatomicalStructure.
- Perfectly_matched_layer type Mechanic.
- 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 "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 wasDerivedFrom Perfectly_matched_layer?oldid=659576221.
- Perfectly_matched_layer isPrimaryTopicOf Perfectly_matched_layer.