The Effect of the Generated Pump Electric Field on the Amplification Properties of a Superheterodyne Parametric Free-Electron Laser

Authors A.V. Lysenko , S.S. Ilin
Affiliations

1Sumy State University, 2, Rymskogo-Korsakova st., 40007 Sumy, Ukraine

Е-mail o.lysenko@mss.sumdu.edu.ua
Issue Volume 4, Year 2012, Number 1
Dates Received 10 July 2023; revised manuscript received 23 October 2023; published online 30 October 2023In this work, within the framework of the quadratic nonlinear approximation, we analysed the influence of the generated pump electric field on the amplification properties of a parametric superheterodyne laser FEL
Citation A.V. Lysenko, S.S. Ilin, J. Nano- Electron. Phys. 4 No 1, 01001 (2012)
DOI https://doi.org/10.21272/jnep.15(5).05022
PACS Number(s) 41.60.Cr, 52.59.Ye
Keywords Superheterodyne Free-electron lasers, Space charge waves, Three-wave parametric interactions, Growth increment, Electrostatic Undulator    .
Annotation . The high amplification properties of such a device are ensured by implementing two interconnected three-wave parametric resonances. Due to the first of these resonances between the electromagnetic wave of the signal, the H-ubitron pump magnetic field and the slow space charge wave (SCW), the first one is amplified. The second of these resonances between the longitudinal pump electric field, slow and fast SCWs allows us to increase the slow SCW more. The connection between the two parametric resonances is ensured by the slow SCW common to resonances. In the work, the growth increments of the waves of the above-mentioned three-wave resonances are analysed separately and for the entire system. It has been demonstrated that generating an additional pump electric field significantly affects the growth increment of the second parametric resonance of longitudinal waves, increasing it by 33 %. Due to this, the growth increment of the entire FEL increases by 28 – 10 %, depending on the system parameters. It was found that the influence of the generated pump electric field is most effective at high frequencies and relatively low energies of the electron beam when the amplification of the electromagnetic signal due to the first parametric resonance is significantly less compared to the amplification of longitudinal waves due to the second parametric resonance.

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