Evaluation of a Spherical PML for Vector FEM Applications

The implementation and evaluation of a spherical perfectly matched layer (PML) within a Cartesian finite element method context using standard curl-conforming elements is presented in this paper. Results are compared to the long-standing 1st order absorbing boundary condition (ABC) and a new, rigoro...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2007-02, Vol.55 (2), p.494-498
Main Authors: Davidson, D.B., Botha, M.M.
Format: Article
Language:English
Subjects:
Absorbing boundary conditions (ABC)
Absorption
Anisotropic magnetoresistance
Antennas
Applied classical electromagnetism
Boundary conditions
Cartesian
Electromagnetic wave propagation, radiowave propagation
Electromagnetism
electron and ion optics
Exact sciences and technology
Finite difference methods
Finite element method
finite element method (FEM)
Finite element methods
Fundamental areas of phenomenology (including applications)
Guidelines
Mathematical analysis
Mathematical models
Mesh generation
perfectly matched layer (PML)
Perfectly matched layers
Physics
Reflection
Scattering
Time domain analysis
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Summary:The implementation and evaluation of a spherical perfectly matched layer (PML) within a Cartesian finite element method context using standard curl-conforming elements is presented in this paper. Results are compared to the long-standing 1st order absorbing boundary condition (ABC) and a new, rigorous implementation of a 2nd order ABC for curl-conforming elements. The 4 and 8 layer spherical PMLs are shown to offer very attractive levels of absorption, with reflections on the order of -60 to -70dB demonstrated. Numerical tests show that the guidelines for Cartesian PML absorbers, in terms of maximum conductivity, also carry over to the spherical PML. The 2nd order ABC is also shown to offer very good performance. Finally, coding issues for both the spherical PML and the analytical ABCs are briefly addressed
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2006.889951