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2012-06-02
Specific Absorption Rate Computations with a Nodal-Based Finite Element Formulation
By
Progress In Electromagnetics Research, Vol. 128, 399-418, 2012
Abstract
The aim of this work is to asses the performance of a nodal-based finite element formulation when applied to the computation of specific absorption rate (SAR) problems. This formulation solves numerically the regularized Maxwell equations using nodal elements and, in principle, it offers several advantages: It provides spurious-free solutions and well-conditioned matrices without the need of Lagrange multipliers or scalar potentials. Its integral representation is well-suited for hybridization with integral numerical techniques because of a low-order singular kernel. Also, the nodal approximation of the electromagnetic problem is easier to couple to a thermal finite element problem which usually also employs nodal elements. But, on the other hand, we need to take special care of the points of the domain where the field is singular to obtain accurate solutions. In this paper, we show the impact of the singularities on the performance of the proposed finite element formulation and how its good features are affected when solving real-life SAR problems.1
Citation
Ruben Otin, and Herve Gromat, "Specific Absorption Rate Computations with a Nodal-Based Finite Element Formulation," Progress In Electromagnetics Research, Vol. 128, 399-418, 2012.
doi:10.2528/PIER12041105
References

1. Hazard, C. and M. Lenoir, "On the solution of the time-harmonic scattering problems for Maxwells equations," SIAM Journal on Mathematical Analysis, Vol. 27, 1597-1630, 1996.
doi:10.1137/S0036141094271259

2. Otin, R., "Regularized Maxwell equations and nodal finite elements for electromagnetic field computations," Electromagnetics, Vol. 30, 190-204, 2010.
doi:10.1080/02726340903485489

3. Costabel, M. and M. Dauge, "Maxwell and Lamé eigenvalues on polyhedra," Mathematical Methods in Applied Science, Vol. 22, 243-258, 1999.
doi:10.1002/(SICI)1099-1476(199902)22:3<243::AID-MMA37>3.0.CO;2-0

4. Costabel, M., "A coercive bilinear form for Maxwells equations," Journal of Mathematical Analysis and Applications, Vol. 157, No. 2, 527-541, 1991.
doi:10.1016/0022-247X(91)90104-8

5. Lohrengel, S. and S. Nicaise, "Singularities and density problems composite materials in electromagnetism," Communications Differential Equations, Vol. 27, No. 7, 1575-1623, 2002.
doi:10.1081/PDE-120005849

6. Preis, K., O. Bíró, and I. Ticar, "Gauged current vector potential and reetrant corners in the FEM analysis of 3D eddy currents," IEEE Trans. Magn., Vol. 36, 840-843, 2000.
doi:10.1109/20.877575

7. Kaltenbacher, M. and S. Reitzinger, "Appropriate finite-element formulation for 3-D electromagnetic-field problems," IEEE Trans. Magn., Vol. 38, 513-516, 2002.
doi:10.1109/20.996135

8. Costabel, M. and M. Dauge, "Weighted regularization of Maxwell equations in polyhedral domains," Numerische Mathematik, Vol. 93, No. 2, 239-277, 2002.
doi:10.1007/s002110100388

9. Bladel, J. V., Singular Electromagnetic Fields and Sources, IEEE Press, 1991.

10. Paulsen, K. D., D. R. Lynch, and J. W. Strohbehn, "Three-dimensional finite, boundary, and hybrid element solutions of the Maxwell equations for lossy dielectric media," IEEE Trans. Microw. Theory Tech., Vol. 36, 682-693, 1988.
doi:10.1109/22.3572

11. Otin, R., "ERMES user guide,", ERMES user guide," International Center for Numerical Methods in Engineering (CIMNE), ref.: IT-617, Tech.Rep. 2011.

12., GiD, the personal pre and post processor, International Center for Numerical Methods in Engineering (CIMNE), Barcelona, Spain, 2010, Available: http://www.gidhome.com..

13. Freund, R. W. and N. M. Nachtigal, "QMR: A quasi-minimal residual method for non-Hermitian linear systems," SIAM Journal: Numerische Mathematik, Vol. 60, 315-339, 1991.
doi:10.1007/BF01385726

14. Kubacki, R., J. Sobiech, J.Kieliszek, and A. Krawczyk, "Comparison of numerical and measurement methods of SAR of ellipsoidal phantoms with muscle tissue electrical parameters," COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 25, No. 3, 691-696, 2006.
doi:10.1108/03321640610666853

15. Jin, J., The Finite Element Method in Electromagnetics, 2nd edition, John Wiley & Sons, 2002.

16., Radiall, "Design, development and manufacturing of connectors, antennas and microwave components," Voreppe, France, 2010, Available: http://www.radiall.com..

17., FEKO, "EM simulation software,", 2010, http://www.feko.info..

18. Otin, R., "Numerical study of the thermal effects induced by a RFID antenna in vials of blood plasma," Progress In Electromagnetics Research Letters, Vol. 22, 129-138, 2011.

19. Gomez-Calero, C., N. Jamaly, L. Gonzalez, and R. Martinez, "Effect of mutual coupling and human body on MIMO performances," The 3rd European Conference on Antennas and Propagation (EuCAP), 1042-1046, 2009.

20. Bui, V. P., X. C. Wei, and E. P. Li, "An effcient simulation technology for characterizing the ultra-wide band signal propagation in a wireless body area network," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 17-18, 2575-2588, 2010.
doi:10.1163/156939310793675691

21. Gao, S., S.-Q. Xiao, H. Zhu, W. Shao, and B.-Z. Wang, "2.45 GHz body-worn planar monopole antenna and its application in body-worn MIMO system," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 5-6, 661-671, 2011.
doi:10.1163/156939311794827212

22. Cvetkovi, M., D. Poljak, and A. Peratta, "FETD computation of the temperature distribution induced into a human eye by a pulsed laser," Progress In Electromagnetics Research, Vol. 120, 403-421, 2011.

23. Attardo, E. A., T. Isernia, and G. Vecchi, "Field synthesis in inhomogeneous media: Joint control of polarization, uniformity and SAR in MRI B1field," Progress In Electromagnetics Research, Vol. 118, 355-377, 2011.
doi:10.2528/PIER11051910

24. Angulo, L. D., S. G. Garcia, M. F. Pantoja, C. C. Sanchez, and R. G. Martin, "Improving the SAR distribution in Petri-dish cell cultures," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 5-6, 815-826, 2010.
doi:10.1163/156939310791036322

25. Mohsin, S. A., "Concentration of the specific absorption rate around deep brain stimulation electrodes during MRI," Progress In Electromagnetics Research, Vol. 121, 469-484, 2011.
doi:10.2528/PIER11022402

26. Jorge-Mora, T., M. Alvarez-Folgueiras, J. M. Leiro, F. J. JorgeBarreiro, F. J. Ares-Pena, and E. Lopez-Martin, "Exposure to 2.45 GHz microwave radiation provokes cerebral changes in induction of HSP-90 α/β heat shock protein in rat," Progress In Electromagnetics Research, Vol. 100, 351-379, 2010.
doi:10.2528/PIER09102804

27. Parise, M., "On the use of cloverleaf coils to induce therapeutic heating in tissues," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 11-12, 1667-1677, 2011.
doi:10.1163/156939311797164945

28. Zhang, M. and A. Alden, "Calculation of whole-body SAR from a 100MHz dipole antenna," Progress In Electromagnetics Research, Vol. 119, 133-153, 2011.
doi:10.2528/PIER11052005