Vol. 61
Latest Volume
All Volumes
PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2014-11-05
Optimization of the Method of Auxiliary Sources for 3D Scattering Problems by Using Generalized Impedance Boundary Conditions and Level Set Technique
By
Progress In Electromagnetics Research B, Vol. 61, 121-133, 2014
Abstract
The method of auxiliary sources MAS, presents a promising alternative to methods based on discretization, currently used for solving scattering problems. The optimal choice of the auxiliary surface and the proper allocation of radiation centers play a crucial role in ensuring accuracy and stability of the MAS. This approach is considered an open issue and can be investigated numerically. In this paper, we propose a systematic and fully automated technique leading to determine the optimal parameters of the MAS for arbitrary shaped obstacles (partially or fully penetrable) for scattering problems.
Citation
Afif Bouzidi, and Taoufik Aguili, "Optimization of the Method of Auxiliary Sources for 3D Scattering Problems by Using Generalized Impedance Boundary Conditions and Level Set Technique," Progress In Electromagnetics Research B, Vol. 61, 121-133, 2014.
doi:10.2528/PIERB14092203
References

1. Popovidi-Zaridze, R., D. Karkashadze, G. Ahvlediani, and J. Khatiashvili, "Investigation of possibilities of the method of auxiliary sources in solution of two-dimensional electrodynamics problems," Radiotech. Electron., Vol. 22, No. 2, 1978.

2. Aleksidze, M. A., Solution of Boundary Problems by Expansion into a Nonorthogonal Series, Nauka, Moscow, 1978.

3. Aleksidze, M. A., Fundamental Functions in Approximate Solutions of the Boundary Problems, Nauka, Moscow, 1991.

4. Kupradze, V. D. and M. A. Aleksidze, "On one approximate method for solving boundary problems," The BULLETIN of the Georgian Academy of Sciences, 529-536, 1963.

5. Kupradze, V., "About approximates solution mathematical physics problem," Success Math. Sci., Vol. 22, No. N2, 59107, 1967.

6. Popovidi-Zaridze, R. S. and Z. S. Tsverikmazashvili, "Numerical study of a diffraction problems by a modified method of nonorthogonal series,", (in Russian, English translation available, translated and reprinted by Scientific Translation Editor, Oxford, 1978), Zurnal. Vichislit. Mat. Mat Fiz., Vol. 17, No. 2, 1977.

7. Karkashadze, D. and R. Zaridze, "The method of auxiliary sources in applied electrodynamics," LATSIS Symp., Zurich, 1995.

8. Bouzidi, A. and T. Aguili, "Numerical optimization of the method of auxiliary sources by using level set technique," Progress In Electromagnetics Research B, Vol. 33, 203-219, 2011.
doi:10.2528/PIERB11060505

9. Tsitsasa, N. L., E. G. Alivizatosa, H. T. Anastassiua, and D. I. Kaklamania, "Optimization of the method of auxiliary sources (MAS) for scattering by an infinite cylinder under oblique incidence," Electromagnetics, Vol. 25, No. 1, 2006.

10. Anastassiu, H. T. and D. I. Kaklamani, "Error estimation and optimization of the method of auxiliary sources (MAS) applied to TE scattering by a perfectly conducting circular cylinder," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 10, 1283-1294, 2004.
doi:10.1163/1569393042954947

11. Okuno, Y., "A duality relationship between scattering field and current density calculation in the yasuura method," MMET, 278-281, 1994.

12. Zaridze, R., G. Bit-Babik, K. Tavzarashvili, N. Uzunoglu, and D. Economou, "Wave field singularity aspects large-size scatterers and inverse problems," IEEE Transactions on AP, Vol. 50, No. 1, 50-58, Jan. 2002.
doi:10.1109/8.992561

13. Yuferev, S. V. and N. Ida, "Selection of the surface impedance boundary conditions for a given problem," IEEE Trans. Magn., Vol. 35, No. 3, 1486-1489, 1999.
doi:10.1109/20.767248

14. Antoine, X., H. Barucq, and L. Vernhet, "High-frequency asymptotic analysis of a dissipative transmission problem resulting in generalized impedance boundary conditions," Asymptot. Anal., Vol. 26, No. 3-4, 257-283, 2001.

15. Kupradze, V., Method of Integral Equations in the Theory of Diffraction, Moscow-Leningrad, 1935.

16. Osher, S. and J. A. Sethian, "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations," Journal of Computational Physics, Vol. 79, 1249, 1988.

17. Osher, S. and R. P. Fedkiw, "Level set methods: An overview and some recent results," J. Comput. Phys., 463-502, 2001.
doi:10.1006/jcph.2000.6636

18. Sethian, J. A., "Level set methods and fast marching methods," Cambridge Monographs on Applied and Computational Mathematics, Vol. 3, 2nd Edition, Cambridge University Press, Cambridge, 1999. Evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science.

19. Tai, X.-C. and T. F. Chan, "A survey on multiple level set methods with applications for identifying piecewise constant functions," International J. Numerical Analysis and Modelling, Vol. 1, No. 1, 25-48, 2004.

20. Anastassiu, H., "Error estimation of the method of auxiliary sources (MAS) for scattering from an impedance circular cylinder," Progress In Electromagnetics Research, Vol. 52, 109-128, 2005.
doi:10.2528/PIER04072101

21. Hichem, N. and T. Aguili, "Scattering by multilayered structures using the extended method of auxiliary sources EMAS," Progress In Electromagnetics Research B, Vol. 15, 133-150, 2009.
doi:10.2528/PIERB09042307

22. Hichem, N. and T. Aguili, "Analysis of two-dimensional scattering by a periodic array of conducting cylinders using the method of auxiliary sources," PIERS Online, Vol. 4, No. 5, 521-525, 2008.
doi:10.2529/PIERS071219122321

23. Hichem, N. and T. Aguili, "Analysis of scattering from a finite linear array of dielectric cylinders using the method of auxiliary sources," PIERS Proceedings, 743-746, Beijing, China, Mar. 23-27, 2009.

24. Hichem, N. and T. Aguili, "Modeling the electromagnetic scattering from a dielectrically filled groove using the method of auxiliary sources," PIERS Proceedings, 858-860, Beijing, China, Mar. 23-27, 2009.

25. Bogdanov, F. G., D. D. Karkashadze, and R. S. Zaridze, "The method of auxiliary sources in electromagnetic scattering problems," Generalized Multipole Techniques for Electromagnetic and Light Scattering, 1999.

26. Wriedt, T., Generalized Multipole Techniques for Electromagnetic and Light Scattering, Elsevier, Amsterdam, New York, 1999.