Scattering of the field of the electrical dipole on thin unclosed spherical shell аnd bi-isotropic ball. Analytical approach
Problemy fiziki, matematiki i tehniki, no. 3 (2016), pp. 27-34.

Voir la notice de l'article provenant de la source Math-Net.Ru

The analytical solution of axially symmetric boundary problem of process scattering of electromagnetic field of electric dipole on bi-isotropic ball is constructed. The dipole is located inside thin unclosed spherical shell. The formula for calculating directive pattern of electric field is received. The graphics of directive pattern for some parameters of the problem are constructed.
Mots-clés : electric dipole
Keywords: Maxwell's equations, vector spherical wave functions, dual series equations, directive pattern of the electric field.
@article{PFMT_2016_3_a3,
     author = {G. Ch. Shushkevich},
     title = {Scattering of the field of the electrical dipole on thin unclosed spherical shell {\cyra}nd bi-isotropic ball. {Analytical} approach},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {27--34},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_3_a3/}
}
TY  - JOUR
AU  - G. Ch. Shushkevich
TI  - Scattering of the field of the electrical dipole on thin unclosed spherical shell аnd bi-isotropic ball. Analytical approach
JO  - Problemy fiziki, matematiki i tehniki
PY  - 2016
SP  - 27
EP  - 34
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/PFMT_2016_3_a3/
LA  - ru
ID  - PFMT_2016_3_a3
ER  - 
%0 Journal Article
%A G. Ch. Shushkevich
%T Scattering of the field of the electrical dipole on thin unclosed spherical shell аnd bi-isotropic ball. Analytical approach
%J Problemy fiziki, matematiki i tehniki
%D 2016
%P 27-34
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/PFMT_2016_3_a3/
%G ru
%F PFMT_2016_3_a3
G. Ch. Shushkevich. Scattering of the field of the electrical dipole on thin unclosed spherical shell аnd bi-isotropic ball. Analytical approach. Problemy fiziki, matematiki i tehniki, no. 3 (2016), pp. 27-34. http://geodesic.mathdoc.fr/item/PFMT_2016_3_a3/

[1] B. Z. Katsenelenbaum i dr., “Kiralnye elektrodinamicheskie ob'ekty”, Uspekhi fizicheskikh nauk, 167:11 (1997), 1201–1212 | DOI

[2] V. A. Neganov, O. V. Osipov, “Elektrodinamika otrazhayuschikh i volnoveduschikh struktur s iskusstvennymi kiralnymi sloyami”, Uspekhi sovremennoi radioelektroniki, 2005, no. 8, 20–45 | MR

[3] Tie Jun Cui, D. R. Smith, R. Lui, Metamaterials. Theory, Design and Applications, Springer, 2009, 367 pp.

[4] I. B. Vendik, O. G. Vendik, “Metamaterialy i ikh primenenie v tekhnike sverkhvysokikh chastot (Obzor)”, Zhurnal tekhnicheskoi fiziki, 83:1 (2013), 3–28

[5] M. V. Kostin, V. V. Shevchenko, “K teorii kiralnoi sredy na osnove sfericheskikh spiralno provodyaschikh chastits”, Radiotekhnika i elektronika, 43:8 (1998), 921–926

[6] D. G. Sannikov, “Krosspolyarizatsiya sveta na granitse razdela «dielektrik–biizotropnaya sreda»”, Pisma v ZhTF, 35:8 (2009), 14–21

[7] V. V. Fisanov, “Proyavleniya nevzaimnosti v biizotropnoi srede Tellegena”, Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2012, no. 2-1 (26), 96–99

[8] V. A. Neganov, O. V. Osipov, Otrazhayuschie, volnoveduschie i izluchayuschie struktury s kiralnymi elementami, Radio i svyaz, M., 2006, 280 pp.

[9] O. V. Ivanov, Rasprostranenie eletromagnitnykh voln v anizotropnykh i bianizotropnykh sloistykh strukturakh, UlGTU, Ulyanovsk, 2010, 262 pp.

[10] V. T. Erofeenko i dr., “Proniknovenie elektromagnitnykh voln cherez kompozitnye ekrany, soderzhaschie idealno provodyaschie spirali”, Inzhenerno-fizicheskii zhurnal, 84:4 (2011), 740–746

[11] M. Manakhova, E. Shorokhova, Izluchayuschie svoistva antenn v kompozitnykh sredakh. Metamaterialy i kiralnye sredy, LAP LAMBERT Academic Publishing, Saarbruchen, 2011, 68 pp.

[12] E. Shorokhova, Difraktsiya elektromagnitnykh voln na kiralnykh telakh vrascheniya. Analiticheskii podkhod, LAP LAMBERT Academic Publishing, Saarbruchen, 2013, 92 pp.

[13] V. V. Fisanov, “Ob izluchenii istochnikov v izotropnoi kiralnoi srede”, Izv. vuzov. Fizika, 2006, no. 9, 87–90

[14] V. I. Demidchik, “Izluchenie proizvolnoi sistemy istochnikov v kiralnoi srede”, Vestnik BGU. Ser. 1, 2013, no. 2, 44–47 | MR

[15] V. N. Kapshai, V. V. Kondratyuk, “Rasseyanie elektromagnitnykh voln na biizotropnom share v biizotropnoi srede”, Problemy fiziki, matematiki i tekhniki, 2010, no. 3, 7–21

[16] V. I. Belichenko, V. V. Fisanov, “Rasseyanie elektromagnitnykh voln biizotropnoi sferoi”, Izv. vuzov. Fizika, 1994, no. 10, 108–112

[17] V. T. Erofeenko, S. V. Malyi, “Difraktsiya ploskoi elektromagnitnoi volny na ploskom sloe iz biizotropnogo materiala”, Vestnik BGU. Ser. 1, 2010, no. 2, 11–16

[18] V. T. Erofeenko, V. F. Bondarenko, “Chislennoe issledovanie vzaimodeistviya elektromagnitnykh polei elektricheskogo i magnitnogo dipolei s kompozitnym ekranom”, Izv. NAN Belarusi. Ser. fiz.-tekh. n., 2013, no. 4, 113–120

[19] V. A. Neganov, O. V. Osipov, “Otrazhenie elektromagnitnykh voln ot ploskikh kiralnykh struktur”, Izv. VUZov. Radiofizika, 42:9 (1999), 870–878

[20] V. A. Neganov, O. V. Osipov, “Osobennosti otrazheniya elektromagnitnykh voln ot ploskikh kiralnykh struktur”, Fizika volnovykh protsessov i radiotekhnicheskie sistemy, 2:1 (1999), 5–11

[21] V. A. Neganov, O. B. Osipov, “Rasseyanie ploskikh elektromagnitnykh voln na kiralno-metallicheskom tsilindre”, Pisma v ZhTF, 26:1 (2000), 77–83

[22] A. I. Kuts, G. Ch. Shushkevich, “Chislennoe issledovanie rasseyaniya polya elektricheskogo dipolya na biizotropnom share”, Informatika, 2015, no. 2, 46–54 | MR

[23] E. A. Ivanov, Difraktsiya elektromagnitnykh voln na dvukh telakh, Nauka i tekhnika, Minsk, 1968, 584 pp.

[24] S. S. Vinogradov, A. M. Radin, V. P. Shestopalov, G. Ch. Shushkevich, “Difraktsiya polya vertikalnogo dipolya na sfericheskom segmente”, Dokl. AN USSR. Ser. A, 1976, no. 8, 741–745

[25] Yu. V. Svischev, “Pole vertikalnogo magnitnogo dipolya pri nalichii sfery s krugovym otverstiem”, Izv. vuz. Radiofizika, XLIII:9 (2000), 773–781

[26] V. T. Erofeenko, I. S. Kozlovskaya, G. Ch. Shushkevich, “Screening of lowfrequency magnetic fields by an open thin-wall spherical shell”, Technical Physics, 55:9 (2010), 1240–1247 | DOI

[27] I. P. Kozlov, “Difraktsiya elektromagnitnykh voln na dvukh sferakh”, Izv. vyssh. uch. zav. Radiofizika, XVIII:7 (1975), 998–1008

[28] V. T. Erofeenko, Analiticheskoe modelirovanie v elektrodinamike, KD Librokom, M., 2014, 304 pp.

[29] M. Abramovits, I. Stigan (red.), Spravochnik po spetsialnym funktsiyam s formulami, grafikami i tablitsami, Nauka, M., 1979, 830 pp.