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Article Dans Une Revue International Journal of Numerical Modelling: Electronic Networks, Devices and Fields Année : 2014

Absorbing Boundary Conditions for the FD-TLM Method : the Perfectly Matched Layer and the One-way Equation Technique

Résumé

This paper investigates the absorbing boundary conditions for the frequency domain transmission line matrix method. Two approaches are presented, namely the perfectly matched layer (PML) technique and the one-way wave equation. Concerning the PML technique, two-dimensional and three-dimensional transmission line matrix (TLM) nodes, already used in time domain, are exploited in frequency domain where a rigorous formulation of these PML-TLM nodes is presented. In addition, two types of one-way wave operators are also transposed from time to frequency domain TLM approach: Taylor expansion and Higdon's boundary conditions. The simulation of a wideband matched load WR-28 rectangular waveguide is presented for validation. Excellent results are obtained with a very thin PML layer. Results concerning one-way operator techniques also show very good return loss performances. For instance, Higdon's boundary condition was extended beyond third-order approximation, and a return loss better than 160 dB was obtained. Copyright © 2013 John Wiley & Sons, Ltd.

Dates et versions

hal-00948944 , version 1 (18-02-2014)

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Mériam Attia, Michel Ney, Taoufik Aguili. Absorbing Boundary Conditions for the FD-TLM Method : the Perfectly Matched Layer and the One-way Equation Technique. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2014, 27 (1), pp.62-78. ⟨10.1002/jnm.1891⟩. ⟨hal-00948944⟩
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