Article

Evaluation of a Spherical PML for Vector FEM Applications

Stellenbosch Univ.
IEEE Transactions on Antennas and Propagation (impact factor: 2.15). 03/2007; DOI:10.1109/TAP.2006.889951 pp.494 - 498
Source: IEEE Xplore

ABSTRACT 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

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    Article: Spherical Perfectly Matched Absorber for Finite-Volume 3-D Domain Truncation
    C. Fumeaux, K. Sankaran, R. Vahldieck
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    ABSTRACT: The theory of 2-D radial perfectly matched Maxwellian absorber is extended to 3-D domain truncation problems using a generalized approximate formulation of a spherical finite-volume absorber. The mathematical modeling of the spherical absorber is presented and update equations are derived. The performance of the absorber is characterized with numerical experiments. As practical application of the technique, a complex problem considering the coupling between two spiral antennas is simulated using the finite-volume time-domain method. The comparison of the results to measured data demonstrates the excellent performance of the spherical absorber.
    IEEE Transactions on Microwave Theory and Techniques 01/2008; · 1.85 Impact Factor
Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.

Keywords

2nd order ABC
 
8 layer spherical PMLs
 
absorption
 
analytical ABCs
 
Cartesian finite element method context
 
Cartesian PML absorbers
 
curl-conforming elements
 
long-standing 1st order absorbing boundary condition
 
maximum conductivity
 
new
 
reflections
 
spherical
 
spherical PML
 
standard curl-conforming elements