@article{ZVMMF_1998_38_2_a8,
author = {Yu. V. Svishchev and Yu. A. Tuchkin},
title = {Regularization of the problem of diffraction of an arbitrary electromagnetic wave by a perfectly conducting spherical cap},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {262--276},
year = {1998},
volume = {38},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_2_a8/}
}
TY - JOUR AU - Yu. V. Svishchev AU - Yu. A. Tuchkin TI - Regularization of the problem of diffraction of an arbitrary electromagnetic wave by a perfectly conducting spherical cap JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1998 SP - 262 EP - 276 VL - 38 IS - 2 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_2_a8/ LA - ru ID - ZVMMF_1998_38_2_a8 ER -
%0 Journal Article %A Yu. V. Svishchev %A Yu. A. Tuchkin %T Regularization of the problem of diffraction of an arbitrary electromagnetic wave by a perfectly conducting spherical cap %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1998 %P 262-276 %V 38 %N 2 %U http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_2_a8/ %G ru %F ZVMMF_1998_38_2_a8
Yu. V. Svishchev; Yu. A. Tuchkin. Regularization of the problem of diffraction of an arbitrary electromagnetic wave by a perfectly conducting spherical cap. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 2, pp. 262-276. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_2_a8/
[1] T.V.A., Desjardins G. A., “Electromagnetic field penetration into a spherical cavity”, IEEE Senior Trans., 16:4 (1974), 205–208
[2] Jones R. K., Shumpert T. N., “Surface currents and RCS of a spherical shell with a circular aperture”, IEEE Trans., 28:1 (1980), 128–132 | DOI
[3] Radin A. M., Shestopalov V. P., “Difraktsiya voln na sfere s otverstiyami”, Dokl. AN SSSR, 212:4 (1973), 838–841 | MR
[4] Collins W. D., “On some dual series equations and their applications to electromagnetic problems for spherical caps”, Proc Cambridge Philos. Soc., 57:2 (1961), 367–384 | DOI | MR | Zbl
[5] Noble B., “Some dual series equations involving Jacoby polynomials”, Proc. Cambridge Philos. Soc., 59 (1963), 363–371 | DOI | MR | Zbl
[6] Vinogradov S. S., Radin A. M., Shestopalov V. P., “Difraktsiya polya vertikalnogo dipolya na sfericheskom segmente”, Dokl. AN USSR. Ser. A, 1976, no. 8, 741–745
[7] Vinogradov S. S., Shestopalov V. P., “Reshenie vektornoi zadachi difraktsii na sfere s otverstiem”, Dokl. AN SSSR, 237:1 (1977), 60–63 | MR
[8] Vinogradov S. S., “Ob otrazhatelnoi sposobnosti sfericheskogo ekrana”, Izv. vuzov. Radiofiz., 26:1 (1983), 91–102
[9] Svischev Yu. V., Tuchkin Yu. A., “Vektornaya zadacha difraktsii elektromagnitnoi volny na dvukh sfericheskikh segmentakh”, Dokl. AN USSR. Ser. A, 1987, no. 12, 56–60
[10] Vinogradov S. S., Tuchkin Yu. A., Shestopalov V. P., “Effektivnoe reshenie parnykh summatornykh uravnenii s yadrom v vide prisoedinennykh funktsii Lezhandra”, Dokl. AN SSSR, 242:1 (1978), 80–83 | MR | Zbl
[11] Vinogradov S. S., Rasseyanie voln nezamknutymi sfericheskimi ekranami, Dis. $\dots$ kand. fiz.-matem. nauk, KhGU, Kharkov, 1980
[12] Ziolkowski R. W., Johnson W. A., “Electromagnetic scattering of an arbitrary plane wave from a spherical shell with a circular aperture”, J. Math. Phys., 28:6 (1987), 1293–1314 | DOI | MR | Zbl
[13] Tuchkin Yu. A., Rasseyanie elektromagnitnykh voln na dvukh kontsentricheskikh sfericheskikh segmentakh, Dis. $\dots$ kand. fiz.-matem. nauk, KhGU, Kharkov, 1982
[14] Vinogradov S. S., Tuchkin Yu. A., Shestopalov V. P., “Issledovanie summatornykh ravnenii s yadrom v vide polinomov Yakobi”, Dokl. AN SSSR, 253:2 (1980), 318–321 | Zbl
[15] Tuchkin Yu. A., Shestopalov V. P., “Ob odnom modelnom klasse kraevykh zadach elektrodinamiki”, Differents. ur-niya, 18:4 (1982), 663–673 | MR | Zbl
[16] Vinogradov S. S., Tuchkin Yu. A., Shestopalov V. P., “K teorii rasseyaniya voln na nezamknutykh ekranakh sfericheskoi formy”, Dokl. AN SSSR, 256:6 (1981), 1346–1350 | MR
[17] Svischev Yu. V., Tuchkin Yu. A., Shestopalov V. P., “Reshenie akusticheskoi zadachi difraktsii na osesimmetrichnoi sisteme dvukh raznesennykh sfericheskikh segmentov”, Dokl. AN USSR. Ser. A, 1986, no. 9, 52–56
[18] Svischev Yu. V., Metod poluobrascheniya v teorii difraktsii voln na nezamknutykh sfericheskikh ekranakh, Dis. $\dots$ kand. fiz.-matem. nauk, KhGU, Kharkov, 1989
[19] Svischev Yu. V., Tuchkin Yu. A., Difraktsiya akusticheskoi volny na osesimmetrichnoi sisteme dvukh sfericheskikh segmentov, Preprint No 338, IRE AN USSR, Kharkov, 1987
[20] Radin A. M., Shestopalov V. P., “Difraktsiya ploskoi volny na sfere s krugovym otverstiem”, Zh. vychisl. matem. i matem. fiz., 14:5 (1974), 1232–1243 | MR | Zbl
[21] Svischev Yu. V., Tuchkin Yu. A., Shestopalov V. P., “O novom klasse parnykh summatornykh uravnenii, soderzhaschikh polinomy Yakobi”, Dokl. AN SSSR, 317:6 (1991), 1369–1373
[22] Svischev Yu. V., Tuchkin Yu. A., “K teorii parnykh summatornykh uravnenii so svobodnoi konstantoi”, Fiz. issl. s ispolzovaniem radiovoln millimetrovogo i submillimetrovogo diapazonov, IRE AN Ukrainy, Kharkov, 1991, 146–157
[23] Kolton D., Kress R., Metody integralnykh uravnenii v teorii rasseyaniya, Mir, M., 1987
[24] Ivanov E. A., Difraktsiya elektromagnitnykh voln na dvukh telakh, Nauka i tekhn., Minsk, 1968
[25] Vainshtein L. A., Elektromagnitnye volny, Sov. radio, M., 1957
[26] Tuchkin Yu. A., “Regulyarizatsiya kraevoi zadachi difraktsii voln na toroidalnykh ekranakh proizvolnogo profilya”, Elektrodinamika otkrytykh struktur millimetrovogo i submillimetrovogo diapazonov, IRE AN Ukrainy, Kharkov, 1990, 5–16
[27] Abramovits M., Stigan I. M. (red.), Spravochnik po spetsialnym funktsiyam s formulami, grafikami i matematicheskimi tablitsami, Nauka, 1979
[28] Sobolev S. L., Uravneniya matematicheskoi fiziki, Nauka, M., 1966
[29] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, Nauka, M., 1966 | Zbl
[30] Olver F., Asimptotika i spetsialnye funktsii, Nauka, M., 1990 | Zbl
[31] Fedoryuk M. V., Asimptotika: Integraly i ryady, Nauka, M., 1987
[32] Svischev Yu. V., “O vychislenii koeffitsientov v teoremakh slozheniya dlya sfericheskikh volnovykh funktsii i potentsialov Debaya”, Differents. ur-niya, 28:9 (1992), 1573–1579 | MR
[33] Tuchkin Yu. A., Shestopalov V. P., “Ob odnom chislennom metode resheniya operatornykh uravnenii”, Dokl. AN SSSR, 242:3 (1978), 570–573 | MR | Zbl
[34] Tuchkin Yu. A., Shestopalov V. P., “Ob odnoi modifikatsii metoda poluobrascheniya”, Sovrem. probl. matem. fiz. i vychisl. matem., Nauka, M., 1982, 302–311
[35] Dudka V. G., Tuchkin Yu. A., Shestopalov V. P., “Iteratsionnyi metod resheniya zadachi difraktsii na sfericheskom segmente”, Zh. vychisl. matem. i matem. fiz., 29:8 (1990), 1193–1200 | MR