Dispersion relation and growth rate for a corrugated channel free-electron laser with a helical wiggler pump

doi:10.1088/1674-1056/22/7/075205

Abstract The effects of corrugated ion channels on electron trajectories and spatial growth rate for a free-electron laser with a one-dimensional helical wiggler have been investigated. Analysis of the steady-state electron trajectories is performed by solving equations of motion. Our results show that the presence of corrugated channel shifts the resonance frequency to smaller values of ion channel frequency. The sixth-order dispersion equation describing the coupling between the electrostatic beam mode and the electromagnetic mode has also been derived. The characteristic of dispersion relation is analyzed in detail by numerical solution. Results show that the growth rate of instability in the presence of corrugated ion channels can be greatly enhanced relative to the case of an uniform ion channel.

Keywords: corrugated ion-channel free-electron laser growth rate helical wiggler

Received: 09 October 2012
Revised: 04 March 2013
Accepted manuscript online:

PACS:	52.59.Rz	(Free-electron devices)
	41.60.Cr	(Free-electron lasers)
	52.27.Ny	(Relativistic plasmas)

Corresponding Authors: A. Hasanbeigi
E-mail: hbeigi@tmu.ac.ir

Cite this article:

A. Hasanbeigi, H. Mehdiank Dispersion relation and growth rate for a corrugated channel free-electron laser with a helical wiggler pump 2013 Chin. Phys. B 22 075205

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Dispersion relation and growth rate for a corrugated channel free-electron laser with a helical wiggler pump

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