Geodesic
Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 154-167 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

The paper considers computation of the matrix entries for linear algebraic systems of equations occurring in the Rao–Wilton–Glisson solution by the method of moments for problems of electromagnetic scattering by surfaces of arbitrary shape. Using the Taylor series expansion and its truncation to four terms, all double integrals needed in computing the matrix entries are taken, and closed-form analytic expressions are obtained. It is demonstrated that these expressions provide for a faster and more accurate solution than numerical integration. 
@article{ZNSL_2013_419_a9,
     author = {I. S. Kostarev and T. R. Gazizov and Yu. M. Kazantsev},
     title = {Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {154--167},
     year = {2013},
     volume = {419},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a9/}
}
TY  - JOUR
AU  - I. S. Kostarev
AU  - T. R. Gazizov
AU  - Yu. M. Kazantsev
TI  - Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2013
SP  - 154
EP  - 167
VL  - 419
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a9/
LA  - ru
ID  - ZNSL_2013_419_a9
ER  - 
%0 Journal Article
%A I. S. Kostarev
%A T. R. Gazizov
%A Yu. M. Kazantsev
%T Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape
%J Zapiski Nauchnykh Seminarov POMI
%D 2013
%P 154-167
%V 419
%U http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a9/
%G ru
%F ZNSL_2013_419_a9
I. S. Kostarev; T. R. Gazizov; Yu. M. Kazantsev. Analytic evaluation of the matrix entries for linear algebraic systems in the problem of electromagnetic scattering by surfaces of arbitrary shape. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVI, Tome 419 (2013), pp. 154-167. http://geodesic.mathdoc.fr/item/ZNSL_2013_419_a9/

[1] S. M. Rao, D. R. Wilton, A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape”, IEEE Trans. Antennas Propag., 30:3 (1982), 409–418 | DOI

[2] I. S. Kostarev, “Elektromagnitnoe rasseyanie poverkhnostyami proizvolnoi formy”, Tez. dokl. nauch.-tekhn. konf. molodykh spetsialistov “Elektronnye i elektromekhanicheskie sistemy i ustroistva”, Tomsk, 2008, 171–174

[3] Eng-Kee Chus, Xing-Chang Wei, “Closed-form evaluation of the integration of Green's function for method of moments”, IEEE Trans. Inst. High Perform. Comput., 8 (2008), 942–945

[4] R. F. Harrington, Field Computation by Moment Methods, Macmillan, New York, 1968

[5] A. R. Hall, Generalized Method of Moments, Oxford University Press, 2005 | MR

[6] A. F. Petrson, S. L. Ray, R. Mittra, Computational Methods for Electromagnetics, IEEE Press, 1998 | MR

[7] K. Mahadevan, H. A. Auda, “Electromagnetic field of a rectangular patch of uniform and linear distributions of current”, IEEE Trans. Antennas Propag., 37:12 (1989), 1503–1509 | DOI

[8] L. Alatan, M. I. Aksum, K. Mahadevan, M. T. Birand, “Analytical evaluation of the MoM matrix elements”, IEEE Trans. Microw. Theory Techn., 44:4 (1996), 519–525 | DOI

[9] E. K. Chua, K. Y. See, Z. N. Liu, “Accurate and efficient computation of MoM matrix involving 2D triangular basis functions with line matching”, Int. J. Comput. Meth., 3:3 (2006), 355–370 | DOI | MR | Zbl

[10] J. Waldovgen, “The Newtonian potential of a homogenous cube”, J. Appl. Math. Phys., 27 (1976), 867–871 | DOI | MR

[11] K. Y. See, T. V. Freeman, “Rigorous approach to modeling electromagnetic radiation from finite-size printed circuit structure”, IEE Proc. Microw. Antennas Propag., 146:1 (1999), 29–34 | DOI

[12] A. A. Samarskii, A. V. Gulin, Chislennye metody, Nauka, M., 1989 | MR