МОДИФИКАЦИЯ МЕТОДА МОМЕНТОВ В ЗАДАЧАХ РАССЕЯНИЯ ЭЛЕКТРОМАГНИТНЫХ ВОЛН
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Научный журнал Моделирование, оптимизация и информационные технологииThe scientific journal Modeling, Optimization and Information Technology
Online media
issn 2310-6018

THE MODIFICATION OF THE METHOD OF MOMENTS IN THE SCATTERING OF ELECTROMAGNETIC WAVES

Glotova T.V.,  Melnikova T.V. 

UDC 621.396
DOI:

  • Abstract
  • List of references
  • About authors

The features of the solution of the integral equations used in the solution of problems of scattering of electromagnetic waves are discussed. The main methods that used are noted. It is proposed to modify the usual method of moments, due to the choice of basis and test functions. Examples of test objects used for the calculations are given. It was found that the more complex the contour of the object, the worse the condition number of linear equations. That is, the scale of the investigated basis functions may not be large. It is shown that if the solution of the integral equation is almost a linear function, the size of the linear equations can be significantly reduced compared to the original.

1. Delves L. M. Numerical Solution of Integral Equations / L. M. Delves // Clarendon Press, Oxford, 1974.

2. Hackbusch W. Integral equations theory and numerical treatment / W.Hackbusch // ISNM, Vol. 120, Birkhauser Verlag, Switzerland, 1995. York, 1968.

3. Tikhonov A. N. On the Solution of Ill-posed Problems / A. N.Tikhonov , V. Y. Arsenin// John Wiley and Sons, New York, 1977.

4. Backus, G. Numerical applications of a formalism for geophysical inverse problems / G.Backus , F. Gilbert // Geophys.J.R oy.Astr on.Soc., Vol. 13, 247–276, 1967.

5. Harrington, R. F. Field Computation by Moment Method / R. F.Harrington // Hacmillan Press, New York, 1968.

6. L'vovich I.Ya. Raschet kharakteristik metallodielektricheskikh antenn / I.Ya.L'vovich, A.P.Preobrazhenskiy // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. 2005. T. 1. № 11. S. 26- 29.

7. Maksimova A. A. Metody issledovaniya kharakteristik rasseyaniya elektromagnitnykh voln ob"ektami / A. A. Maksimova, A. G. Yurochkin // Vestnik Voronezhskogo instituta vysokikh tekhnologiy. 2016. № 1. S. 53 -56.

8. Preobrazhenskiy A.P. Modelirovanie rasseyaniya elektromagnitnykh voln na nesimmetrichnom ob"ekte/ A.P.Preobrazhenskiy, O.N.Choporov, K.V.Kaydakova // V mire nauchnykh otkrytiy. 2015. № 8. S. 526.

9. L'vovich I.Ya. Postroenie algoritma otsenki srednikh kharakteristik rasseyaniya polykh struktur / I.Ya.L'vovich, Ya.E.L'vovich, A.P.Preobrazhenskiy // Telekommunikatsii. 2014. № 6. S. 2-5.

10. Preobrazhenskiy A.P. Prognozirovanie radiolokatsionnykh kharakteristik ob"ektov s radiopogloshchayushchimi pokrytiyami v diapazone dlin voln / A.P. Preobrazhenskiy // Telekommunikatsii. 2003. № 4. S. 21-24.

11. Preobrazhenskiy A.P. Prognozirovanie radiolokatsionnykh kharakteristik ob"ektov v diapazone dlin voln c ispol'zovaniem rezul'tatov izmereniya kharakteristik rasseyaniya na diskretnykh chastotakh / A.P.Preobrazhenskiy // Telekommunikatsii. 2004. № 5. S. 32-35.

12. Preobrazhenskiy A.P. Algoritmy prognozirovaniya radiolokatsionnykh kharakteristik ob"ektov pri vosstanovlenii radiolokatsionnykh izobrazheniy / A.P.Preobrazhenskiy, O.N.Choporov // Sistemy upravleniya i informatsionnye tekhnologii. 2004. T. 17. № 5. S. 85-87.

13. Preobrazhenskiy A.P. Otsenka vozmozhnostey kombinirovannoy metodiki dlya rascheta EPR dvumernykh ideal'no provodyashchikh polostey / A.P.Preobrazhenskiy // Telekommunikatsii. 2003. № 11. S. 37- 40.

14. Preobrazhenskiy A.P. Prognozirovanie radiolokatsionnykh kharakteristik ideal'no provodyashchey polosti v diapazone dlin voln /A.P.Preobrazhenskiy // Telekommunikatsii. 2005. № 12. S. 29-31.

15. L'vovich I.Ya. Razrabotka informatsionnogo i programmnogo obespecheniya SAPR difraktsionnykh struktur i radiolokatsionnykh antenn / I.Ya.L'vovich, A.P.Preobrazhenskiy // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. 2006. T. 2. № 12. S. 63- 68.

16. Kanavin S. V. Perspektivy primeneniya sistem mobil'nogo shirokopolosnogo dostupa v setyakh podvizhnoy radiosvyazi na osnove standartov mobile WIMAX i LTE / S. V. Kanavin, A. S. Luk'yanov // Vestnik Voronezhskogo instituta vysokikh tekhnologiy. 2016. № 1. S. 79- 82.

17. L'vovich I.Ya. Programmnyy kompleks dlya avtomatizirovannogo analiza kharakteristik rasseyaniya ob"ektov s primeneniem matematicheskikh modeley / I.Ya.L'vovich, A.P.Preobrazhenskiy, R.P.Yurov O.N.Choporov // Sistemy upravleniya i informatsionnye tekhnologii. 2006. T. 24. № 2. S. 96-98.

18. Preobrazhenskiy A.P. Algoritm rascheta radiolokatsionnykh kharakteristik polostey s ispol'zovaniem priblizhennoy modeli / A.P.Preobrazhenskiy, O.N.Choporov // Sistemy upravleniya i informatsionnye tekhnologii. 2005. T. 21. № 4. S. 17-19.

19. Preobrazhenskiy A.P. Issledovanie vozmozhnosti opredeleniya formy ob"ekta v okrestnosti vosstanovleniya lokal'nykh otrazhateley na poverkhnosti ob"ektov po ikh diagrammam obratnogo rasseyaniya / A.P. Preobrazhenskiy // Telekommunikatsii. 2003. № 4. S. 29-32.

20. Lvovich Y.Y. The use of "ant" algorithm in constructing models of objects that have maximum average values of the scattering characteristics / Y.Y.Lvovich, I.Y.Lvovich, A.P.Preobrazhenskiy, O.N.Choporov // Life Science Journal. 2014. T. 12. № 12. S. 463.

21. Vasil'ev E.M. Evolyutsionnye algoritmy s matrichnoy replikatsiey / E.M.Vasil'ev, I.V.Krutskikh // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. 2011. T. 7. № 2. S. 21-23.

22. Podval'nyy S.L. Evolutionary principles of construction intelligent systems of multi-alternative control / S.L. Podvalny, E.M. Vasiliev // Control systems and information Technology. 2014.V. 57. No. 3. S. 4-8.

23. Tkalich S.A. Osnovaniya i vozmozhnosti ispol'zovaniya iskusstvennykh neyrosetey v sistemakh prognozirovaniya / S.A.Tkalich, E.M.Vasil'ev // Elektrotekhnicheskie kompleksy i sistemy upravleniya. 2008. № 2. S. 37- 38.

24. Vasil'ev E.M. Mnogoal'ternativnoe upravlenie v khaoticheskikh sistemakh svyazi / E.M. Vasil'ev // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. 2012. T. 8. № 11. S. 155-158.

Glotova Tatyana Vitalievna

Email: tglotova@gmail.ru

Voronezh Institute of High Technologies

Voronezh, Russian Federation

Melnikova Tamara Veniaminovna

Email: meltv@mail.ru

Voronezh Institute of High Technologies

Voronezh, Russian Federation

Keywords: : technical electrodynamics, the scattering of radio waves, method of moments, integral equation, numerical method

For citation: Glotova T.V., Melnikova T.V. THE MODIFICATION OF THE METHOD OF MOMENTS IN THE SCATTERING OF ELECTROMAGNETIC WAVES. Modeling, Optimization and Information Technology. 2016;4(2). URL: https://moit.vivt.ru/wp-content/uploads/2016/06/GlotovaMelnikova_2_16_1.pdf DOI: (In Russ).

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Published 30.06.2016