Quantum regime of a plasma-wave-pumped free-electron laser in the presence of an axial magnetic field

Journal of Synchrotron Radiation
H Shirvani, S Jafari

Abstract

The quantum regime of a plasma-whistler-wave-pumped free-electron laser (FEL) in the presence of an axial-guide magnetic field is presented. By quantizing both the plasma whistler field and axial magnetic field, an N-particle three-dimensional Hamiltonian of quantum-FEL (QFEL) has been derived. Employing Heisenberg evolution equations and introducing a new collective operator which controls the vertical motion of electrons, a quantum dispersion relation of the plasma whistler wiggler has been obtained analytically. Numerical results indicate that, by increasing the intrinsic quantum momentum spread and/or increasing the axial magnetic field strength, the bunching and the radiation fields grow exponentially. In addition, a spiking behavior of the spectrum was observed with increasing cyclotron frequency which provides an enormous improvement in the coherence of QFEL radiation even in a limit close-to-classical regime, where an overlapping of these spikes is observed. Also, an upper limit of the intrinsic quantum momentum spread which depends on the value of the cyclotron frequency was found.

References

Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C B SchroederP Chen
Nov 5, 2004·Physical Review Letters·S KiselevI Kostyukov
Feb 24, 2015·Physical Review Letters·D RatnerJ Wu

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