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Single-electron analysis of the space-charge effect in free-electron lasers

Shih, Chun-Ching and Yariv, Amnon (1980) Single-electron analysis of the space-charge effect in free-electron lasers. Physical Review A, 22 (6). pp. 2717-2722. ISSN 0556-2791. doi:10.1103/PhysRevA.22.2717.

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An exact treatment of the space-charge effect in the single-electron analysis of a free-electron laser is presented to calculate its small-signal gain. With the inclusion of the repulsive force between electrons, it is found that the trajectory of an electron can be solved from a generalized equation which includes a space-charge term. The results show the gain is saturated with decreasing growth rate due to high electron density. The radiation frequency is found to increase with the electron density and approach the value at plasma resonance. The condition ωpL/c = π clearly defines the boundary between the noninteracting and the collective regime of an electron beam, where ωp is the plasma frequency, L is the device length, and c is the light velocity in vacuum.

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Additional Information:©1980 The American Physical Society. Received 1 May 1980. This research was supported by the U.S. Air Force Office of Scientific Research.
Issue or Number:6
Record Number:CaltechAUTHORS:SHIpra80
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10692
Deposited By: Archive Administrator
Deposited On:04 Jun 2008
Last Modified:08 Nov 2021 21:10

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