Abstract
In this paper, we have numerically investigated the effects of various geometrical parameters of a backward wave oscillator, filled with a magnetized plasma of uniform density and driven by a mild relativistic solid electron beam, on the instability growth rate R 0 of a seeded free electron laser. On changing mean radius corrugation amplitude h and corrugation period z 0 of backward wave oscillator; the ponderomotive potential of space charge wave changes. This in turn, changes the coupling strength of TM mode with negative beam space charge mode and hence the growth rate of parametric instability of free electron laser. A dispersion relation is derived and numerically solved for various geometrical parameters of backward wave oscillator and beam profile. A relation for Γ is also derived and computed numerically. The instability growth scales directly to the square root of beam density and inversely as seven power of relativistic gamma factor γ0.
Similar content being viewed by others
References
L. S. Bogdankevich, M. V. Kuzelev, and A. A. Rukhadze, Usp. Fiz. Nauk 133, 3, (1981) [Sov. Phys. Usp. 24, 1 (1981)].
M. V. Kuzelev, A. A. Rukhadze, P. S. Strelkov, and A. G. Shkvarunets, Fiz. Plazmy 13, 1370 (1987) [Sov. J. Plasma Phys. 13, 793 (1987)].
P. Wen-Bin and C. Ya-Shen, Int. J. Electron. 65, 561 (1988).
V. K. Tripathi and C. S. Liu, IEEE Trans. Plasma Sci. 18, 466 (1990).
Y. Carmel, K. Minami, L. Weiran, et al., IEEE Trans. Plasma Sci. 18, 497 (1990).
V. A. Balakirev, V. I. Miroshnichenko, and Ya. B. Fainberg, Fiz. Plazmy 12, 983 (1986) [Sov. J. Plasma Phys. 12, 563 (1986)].
C. Joshi, T. Katsonleas, J. M. Dawson, et al., IEEE J. Quant. Electron. 23, 1571 (1987).
V. L. Granatstein and P. Sprangle, IEEE Trans. Microwave Theory Tech. 25, 545 (1977).
Y. Carmel, V. L. Granastein, and A. Grover, Phys. Rev. Lett. 51, 566 (1983).
A. Sharma and V. K. Tripathi, Phys. Fluids 31, 3375 (1988).
N. K. Jaiman and V. K. Tripathi, Radiophys. Quant. Electron. 37, 6 (1994).
R. A. Kehs, Y. Carmel, V. L. Granatstein, and W. W. Destler, Phys. Rev. Lett. 68, 279 (1988).
W. Minghong, L. Zheng, and Y. Ziqiang, Int. J. Infrared Millimeter Waves 24, 6 (2003).
N. K. Jaiman and V. K. Tripathi, Phys. Plasmas 4, 2687 (1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Russian in Fizika Plazmy, 2009, Vol. 35, No. 2, pp. 179–184.
This text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Sharma, B.S., Jaiman, N.K. Numerical investigations and analysis on the effects of geometrical parameters on the group velocity of transverse magnetic pump mode and free electron laser instability. Plasma Phys. Rep. 35, 154–159 (2009). https://doi.org/10.1134/S1063780X0902007X
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063780X0902007X