Geodesic
Using of the high precision numerical techniques for antenna system design
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 3 (2014) no. 2, pp. 77-91 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

This paper proposes the some effective numerical methods for studing mathematical models of antenna system. Formulation of mathematical models is used the rigorous electromagnetic principies and equations. Using the high precision quadrature formulas for solving Pocklington's integral equation and special regularizing procedure is provided the stable modeling results with given accuracy and high speed.
Keywords: mathematical model, integral equations
Mots-clés : quadrature formulas of Gauss-Legendre. 
@article{VYURV_2014_3_2_a5,
     author = {A. B. Khashimov and R. R. Salikhov and R. S. Al'metov},
     title = {Using of the high precision numerical techniques for antenna system design},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
     pages = {77--91},
     year = {2014},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURV_2014_3_2_a5/}
}
TY  - JOUR
AU  - A. B. Khashimov
AU  - R. R. Salikhov
AU  - R. S. Al'metov
TI  - Using of the high precision numerical techniques for antenna system design
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika
PY  - 2014
SP  - 77
EP  - 91
VL  - 3
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VYURV_2014_3_2_a5/
LA  - ru
ID  - VYURV_2014_3_2_a5
ER  - 
%0 Journal Article
%A A. B. Khashimov
%A R. R. Salikhov
%A R. S. Al'metov
%T Using of the high precision numerical techniques for antenna system design
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika
%D 2014
%P 77-91
%V 3
%N 2
%U http://geodesic.mathdoc.fr/item/VYURV_2014_3_2_a5/
%G ru
%F VYURV_2014_3_2_a5
A. B. Khashimov; R. R. Salikhov; R. S. Al'metov. Using of the high precision numerical techniques for antenna system design. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 3 (2014) no. 2, pp. 77-91. http://geodesic.mathdoc.fr/item/VYURV_2014_3_2_a5/

[1] A.S. Il'insky, V.V. Kravtsov, A.G. Sveshnikov, Mathematical Models of the Eelectomagnetics, Vysshaya Shkola, Moscow, 1991, 224 pp.

[2] N.A. Khizhnyak, Integral Equations of Electromagnetics, Naukova dumka, Kiev, 1986, 280 pp.

[3] Computing Techniques for Electromagnetics, eds. R. Mittra, Pergamon Press, Oxford, New York, Toronto, Sydney, Braunschweig, 1973, 488 pp.

[4] D. Colton, R. Kress, Integral Equation Method in Scattering Theory, John Wiley Sons, New York, Chichester, Brisbane, Toronto, Singapore, 1983, 312 pp.

[5] S.J. Orfanidis, Electromagnetic Waves and Antennas, , 2008 http://www.ece.rutgers.edu/ orfanidi/ewa/

[6] N.I. Voitivich, A.B. Khashimov, “On the Correspondence of Asymptotic Solutions to 2D and 3D Problems in Antenna Engineering”, Journal of Communications Technology and Electronics, 55:12 (2010), 1374–1379 | DOI

[7] M.S. Vorob'ev, L.P. Kudrin, A.P. Medvedev, A.B. Khashimov, “Radition Pattern Features of the Antenna System Disposed on a Tower”, Elektrosvyaz, 1 (2014), 23–29

[8] N.P. Malakshinov, V.G. Erikhov, V.N. Garmash, A.N. Egorov, “The Numerical Solution of Certain Problems of Applied Electrodynamics with the Approximation and Optimization Methods”, Collection of Scientific and Methodological Articles in Applied Electrodynamics, v. 4, Vysshaya Shkola, Moscow, 1980, 68–94