Geodesic
The interaction of electron beams and electromagnetic fields in relativistic Cerenkov generators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 119-139.

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

A method of numerical analysis of linear and nonlinear nonstationary processes in relativistic Cerenkov generators based on periodic super-dimensional waveguides is proposed. The main idea consist in considering a nonregular waveguide as a sequence of wave transformers and using a cross sections method. The configurations of eigen-waves fields of periodic waveguide with high-current relativistic electron beam are considered. The processes of generation development in the section of relativistic multiwave generator is studied. We show that the system frequency is proved to determined by the longitudinal resonances of surface waves and internal feedback. 
@article{FPM_2009_15_6_a8,
     author = {A. S. Nifanov and A. I. Slepkov},
     title = {The interaction of electron beams and electromagnetic fields in relativistic {Cerenkov} generators},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {119--139},
     publisher = {mathdoc},
     volume = {15},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a8/}
}
TY  - JOUR
AU  - A. S. Nifanov
AU  - A. I. Slepkov
TI  - The interaction of electron beams and electromagnetic fields in relativistic Cerenkov generators
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2009
SP  - 119
EP  - 139
VL  - 15
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a8/
LA  - ru
ID  - FPM_2009_15_6_a8
ER  - 
%0 Journal Article
%A A. S. Nifanov
%A A. I. Slepkov
%T The interaction of electron beams and electromagnetic fields in relativistic Cerenkov generators
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2009
%P 119-139
%V 15
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a8/
%G ru
%F FPM_2009_15_6_a8
A. S. Nifanov; A. I. Slepkov. The interaction of electron beams and electromagnetic fields in relativistic Cerenkov generators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 6, pp. 119-139. http://geodesic.mathdoc.fr/item/FPM_2009_15_6_a8/

[1] Aleksandrov A. F., Galuzo S. Yu., Kanavets V. I., Pletyushkin V. A., “Vozbuzhdenie poverkhnostnykh voln relyativistskim elektronnym potokom v diafragmirovannom volnovode”, ZhTF, 51:8 (1981), 1727–1730

[2] Aleksandrov A. F., Galuzo S. Yu., Kanavets V. I., Pletyushkin V. A., Slepkov A. I., “Osobennosti cherenkovskogo izlucheniya relyativistskogo elektronnogo potoka v gofrirovannom volnovode”, ZhTF, 50:11 (1980), 2381–2389

[3] Bugaev S. P., Kanavets V. I., Klimov A. I., Koshelev V. I., Slepkov A. I., Cherepenin V. A., “Vzaimodeistvie elektronnogo potoka i elektromagnitnogo polya v mnogovolnovom cherenkovskom generatore s moschnostyu $10^{10}$ vatt”, Radiotekhnika i elektronika, 32:7 (1987), 1488–1498

[4] Bugaev S. P., Kanavets V. I., Koshelev V. I., Popov V. A., Slepkov A. I., Fëdorov A. V., Cherepenin V. A., “Issledovanie mnogovolnovogo cherenkovskogo generatora millimetrovogo diapazona gigavattnogo urovnya moschnosti”, Radiotekhnika i elektronika, 33:2 (1989), 400–408

[5] Bugaev S. P., Kanavets V. I., Koshelev V. I., Cherepenin V. A., Relyativistskie mnogovolnovye SVCh-generatory, Nauka, Novosibirsk, 1991

[6] Bedsel Ch., Lengdon A., Fizika plazmy i chislennoe modelirovanie, Energoatomizdat, M., 1989

[7] Valdner O. A., Sobenin N. P., Zverev B. V., Schedrin I. S., Spravochnik po diafragmirovannym volnovodam, Atomizdat, M., 1977

[8] Garutsa N. A., Kanavets V. I., Slepkov A. I., “Matrichnyi metod v teorii vzaimodeistviya relyativistskikh elektronnykh potokov s polyami mnogomodovykh elektrodinamicheskikh struktur”, Radiotekhnika i elektronika, 33:4 (1988), 783–795

[9] Ilinskii A. S., Kosich N. B., “Difraktsiya ploskoi volny na dvumernoi periodicheskoi strukture”, Radiotekhnika i elektronika, 19:6 (1974), 1171–1182 | MR

[10] Kanavets V. I., Mozgovoi Yu. D., Slepkov A. I., Izluchenie moschnykh elektronnykh potokov v rezonansnykh zamedlyayuschikh sistemakh, Izd-vo Mosk. un-ta, M., 1993

[11] Kovalëv N. F., “Lineinaya teoriya SVCh priborov s silnotochnymi puchkami relyativistskikh elektronov, dvizhuschikhsya pryamolineino”, Relyativistskaya vysokochastotnaya elektronika, 4, IPF AN SSSR, Gorkii, 1984, 5–48

[12] Kovalëv N. F., Petelin M. I., Raizer M. D., Smorgonskii A. V., Tsopp A. E., “Generatsiya moschnykh impulsov elektromagnitnogo izlucheniya potokom relyativistskikh elektronov”, Pisma v ZhETF, 18 (1973), 232–235

[13] Kopenkin A. D., Koshelev V. I., Cherepenin V. A., “Lineinaya teoriya mnogovolnovogo cherenkovskogo generatora”, Radiotekhnika i elektronika, 35:2 (1990), 389–400

[14] Kornienko V. N., Cherepenin V. A., “Chislennaya trëkhmernaya model dinamiki elektromagnitnogo polya v mnogovolnovom cherenkovskom generatore”, Radiotekhnika i elektronika, 48:6 (2003), 758–761 | MR

[15] Mitra R., Li C., Analiticheskie metody teorii volnovodov, Mir, M., 1974

[16] Pikunov V. M., Kolesnikova I. Yu., “Lineinaya matematicheskaya model relyativistskogo SVCh ustroistva cherenkovskogo tipa”, Radiotekhnika i elektronika, 33:11 (1988), 2381–2390

[17] Sveshnikov A. G., “Nepolnyi metod Galërkina”, DAN SSSR, 236:5 (1977), 1076–1079 | MR | Zbl

[18] Slepkov A. I., “Mnogomodovyi metod analiza nestatsionarnykh protsessov v cherenkovskikh generatorakh na periodicheskikh volnovodakh”, Izv. RAN. Ser. fiz., 67:12 (2003), 1678–1683

[19] Botton M., Antonsen T. M., Levush B., Nguen K. T., Vlasov A. N., “MAGY: A time-dependent code for simulation of slow and fast microwave sources”, IEEE Trans. Plasma Sci., 26:3 (1998), 882–892 | DOI

[20] Deichuly M. P., Koshelev V. I., Pikunov V. M., Popov V. A., “Linear mode computer code MULTIWAVES 5.2 for muitiwave Cerenkov generator investigations”, Proc. of 14th Int. Conf. on High-Power Particle Beams, Albuquerque, New Mexico, 2002, 287–290

[21] Tarakanov V. P., User's Manual for Code KARAT, Berkley Research Associates, Springfield, VA, 1992