Автор |
B G Shchinov |
Автор |
A G Bonch-Osmolovskii |
Автор |
V G Makhankov |
Автор |
V N Tsytovich |
Дата выпуска |
1973-03-01 |
dc.description |
The evolution of the instability of a thin relativistic electron ring has been investigated numerically. The solution of the exact non-linear equation, considering the interactions of ten harmonics of the coherent radiation is obtained. Both the radiation effects and the negative mass effects have been considered for a ring in free space. It is found out that for short times, of order several linear growth times, the instability saturates at a relatively low level of oscillation energy (W<sub>E</sub> approximately=10<sup>-2</sup>(mc<sup>2</sup> nu eR). This saturation is accompanied by an increase in the energy spread of the beam up to the threshold value Delta W<sub>cr</sub> approximately square root nu / gamma , and with the distribution of energy among several harmonics. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
A computational study of the non-linear stage of the development of radiation instability in relativistic electron rings |
Тип |
paper |
DOI |
10.1088/0032-1028/15/3/005 |
Print ISSN |
0032-1028 |
Журнал |
Plasma Physics |
Том |
15 |
Первая страница |
211 |
Последняя страница |
225 |
Аффилиация |
B G Shchinov; Joint Inst. Nuclear Res., Dubna, USSR |
Аффилиация |
A G Bonch-Osmolovskii; Joint Inst. Nuclear Res., Dubna, USSR |
Аффилиация |
V G Makhankov; Joint Inst. Nuclear Res., Dubna, USSR |
Аффилиация |
V N Tsytovich; Joint Inst. Nuclear Res., Dubna, USSR |
Выпуск |
3 |