volume | PIER Journals

Abstract

A perturbation method based on the decoupling of propagation and diffusion phenomenons is proposed in order to calculate losses in microwave structures. Starting from the first problem in which the conducting regions are not described, a perturbation is calculated by solving a second problem restricted to the vicinity of the conductors; iterations between these problems can be performed when the perturbed solution is not sufficiently accurate. The perturbation approach is however more accurate than a method based on a surface impedance model, without introducing the huge calculations that appear when both conducting region and external medium are described in a single problem. 2D examples are presented using the finite element method and the integral equation method.

1. Sabariego, R. V. and P. Dular, "A perturbation approach for the modeling of eddy current nondestructive testing problems with differential probes," IEEE Transactions on Magnetics, Vol. 43, No. 4, 1289-1291, 2007.
doi:10.1109/TMAG.2007.892398

2. Dular, P., R. V. Sabariego, and L. Krahenbuhl, "Subdomain perturbation finite element method for skin and proximity effects in inductors ," COMPEL, Vol. 27, No. 1, 72-84, 2008.

3. Sabariego, R. V., M. V. Ferreira da Luz, J. P. Nsekere, P. Kuo-Peng, J. L. Lilien, and P. Dular, "Perturbation finite element method for the analysis of earthing systems with vertical rods," Momag-08, Florianopolis, Brasil, September 7-10, 2008.

4. Ruehli, A. E., "Equivalent circuit models for three dimensional multiconductor systems," IEEE Transactions on Microwave Theory and Techniques, Vol. 22, No. 3, 216-221, 1974.
doi:10.1109/TMTT.1974.1128204

5. Hoole, S. R., "Experimental validation of the impedance boundary condition and a review of its limitations," IEEE Transactions on Magnetics, Vol. 25, No. 4, 3028-3030, 1989.
doi:10.1109/20.34359

6. Rautio, J. C. and V. Demir, "Microstrip conductor loss models for electromagnetic analysis," IEEE Transactions on Microwave Theory and Techniques, Vol. 51, No. 3, 915-922, 2003.
doi:10.1109/TMTT.2003.808693

7. Yuferev, S., L. Proekt, and N. Ida, "Surface impedance boundary conditions near corners and egdes: Rigorous considerations," IEEE Transactions on Magnetics, Vol. 37, No. 5, 3465-3468, 2001.
doi:10.1109/20.952638

8. De Zutter, D., H. Rogier, L. Knockaert, and J. Sercu, "Surface current modelling of the skin effect for on-chip interconnections," IEEE Transactions on Advanced Packaging, Vol. 30, No. 2, 342-350, 2007.
doi:10.1109/TADVP.2007.895984

9. Qian, Z. G., M. S. Tong, and W. C. Chew, "Conductive medium modeling with an augmented GIBC formulation," Progress In Electromagnetics Research, Vol. 99, 261-279, 2009.
doi:10.2528/PIER09100702

10. Harrington, R. F., Time-harmonic Electromagnetic Fields, Wiley-IEEE Press, 2001.

11. Bondeson, A., T. Rylander, and P. Ingelstrom, "Computational Electromagnetics," Springer Editions, 2005, Vol. 51.

12. Geuzaine, C. and J. F. Remacle, , Gmsh finite element mesh generator, http://www.geuz.org/gmsh/.

13. Collin, R. F., Field Theory of Guided Waves, IEEE Press, 1991.

14. Bayliss, A. and E. Turkel, "Radiation boundary conditions for wave-like equations," Comm. Pure Appl. Math., Vol. 33, No. 6, 707-725, 1980.
doi:10.1002/cpa.3160330603

15. Glowinski, R., J. He, J. Rappaz, and J. Wagner, "Approximation of multi-scale elliptic problems using patches of finite elements," Comptes Rendus Mathematique, Vol. 337, 679-684, 2003.
doi:10.1016/j.crma.2003.09.029

Dr. Damien Voyer

Dr. Ronan Perrussel

Dr. Patrick Dular