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Quantum statistical properties of free-electron laser with ion-channel guiding

Published online by Cambridge University Press:  12 April 2012

H. MEHDIAN ,
M. ALIMOHAMADI  and
A. HASANBEIGI
H. MEHDIAN
Affiliation:
Department of Physics and Institute for Plasma Research, Tarbiat Moallem University, 49 Dr Mofatteh Avenue, Tehran 15614, Iran (mehdian@tmu.ac.ir, m_alimohamadi@tmu.ac.ir, hbeigi@tmu.ac.ir)
M. ALIMOHAMADI
Affiliation:
Department of Physics and Institute for Plasma Research, Tarbiat Moallem University, 49 Dr Mofatteh Avenue, Tehran 15614, Iran (mehdian@tmu.ac.ir, m_alimohamadi@tmu.ac.ir, hbeigi@tmu.ac.ir)
A. HASANBEIGI
Affiliation:
Department of Physics and Institute for Plasma Research, Tarbiat Moallem University, 49 Dr Mofatteh Avenue, Tehran 15614, Iran (mehdian@tmu.ac.ir, m_alimohamadi@tmu.ac.ir, hbeigi@tmu.ac.ir)
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Abstract

The operation of the quantum free-electron lasers (QFELs) with a helical wiggler and in the presence of ion-channel guiding is considered. The quantum Hamiltonian of single particle has been derived in the Bambini-Renieri (BR) frame. Time dependent wave function and three constants of motion are obtained. The Raman-Nath equation (RNE) and its approximation solution have been calculated, and then the resulted solution has been employed to obtain the quantum gain, photon statistics parameter and squeezing parameter. A quantum approach has been used to get quantum statistical properties of the FEL and the photon gain formula for the small signal gain limit. It is found that the ion-channel guiding decreases the squeezing. Also, the conditions for positive (bunching) and negative (antibunching) gain have been studied numerically.

Type
Papers
Information
Journal of Plasma Physics , Volume 78 , Issue 5 , October 2012 , pp. 537 - 544
Copyright
Copyright © Cambridge University Press 2012

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