Abstract:
Evolution of bunching and harmonic power is theoretically studied for a single-pass free-electron laser (FEL) in which electrons are periodically phase-shifted relative to photons in intervals between undulators with harmonics of magnetic field. Analytical calculations are used to reveal the configuration of magnetic field of an asymmetric elliptical and planar undulators that make it possible to suppress the fundamental and amplify several higher harmonics. The evolution of power and bunching is analyzed using a phenomenological model of FEL that describes violation of bunching between the undulator stages and a relatively high sensitivity of electron–photon interaction at wavelengths of higher harmonics to energy spread, size, deflection of the beam from the axis, etc. Expressions for the Bessel coefficients of the planar and elliptical undulators with field harmonics are analytically studied. Such undulators can be used in phase-shifted FELs for an increase in the power of higher (X-ray) harmonics by a factor of up to 100 in comparison with conventional FELs.
Keywords:
undulator radiation, field harmonics, two-frequency undulator, harmonic radiation, free electron laser.
Citation:
K.Zhukovsky, A. M. Kalitenko, “Generation of coherent X-ray harmonic radiation in a single-pass free-electron laser with phase shift of electrons relative to photons”, Zhurnal Tekhnicheskoi Fiziki, 90:8 (2020), 1337–1347; Tech. Phys., 65:8 (2020), 1285–1295
\Bibitem{ZhuKal20}
\by K.Zhukovsky, A.~M.~Kalitenko
\paper Generation of coherent X-ray harmonic radiation in a single-pass free-electron laser with phase shift of electrons relative to photons
\jour Zhurnal Tekhnicheskoi Fiziki
\yr 2020
\vol 90
\issue 8
\pages 1337--1347
\mathnet{http://mi.mathnet.ru/jtf5236}
\crossref{https://doi.org/10.21883/JTF.2020.08.49545.280-18}
\elib{https://elibrary.ru/item.asp?id=43870262}
\transl
\jour Tech. Phys.
\yr 2020
\vol 65
\issue 8
\pages 1285--1295
\crossref{https://doi.org/10.1134/S1063784220080241}
Linking options:
https://www.mathnet.ru/eng/jtf5236
https://www.mathnet.ru/eng/jtf/v90/i8/p1337
This publication is cited in the following 6 articles:
Muhammed SAYRAÇ, “Numerical Simulation of Coherent Extreme Ultraviolet Radiation by Considering Simple Hydrogen Atomic Potential”, Iğd{\i}r üniversitesi Fen Bilimleri Enstitüsü Dergisi, 13:1 (2023), 259
K. V. Zhukovsky, “Theoretical Analysis of Radiation Properties of X-Ray Free-Electron Lasers”, Radiophys Quantum El, 65:2 (2022), 88
K.Zhukovsky, “Harmonics generation in experiments with free-electron lasers in the X-ray wavelength range: a theoretical analysis”, Tech. Phys., 66:3 (2021), 481–490
Konstantin Zhukovsky, “Theoretical Analysis of the Radiation Properties of Some Major X‐Ray Free Electron Lasers”, Annalen der Physik, 533:11 (2021)
K. Zhukovsky, “X-ray harmonic radiation in free electron lasers with variable deflection parameter of the undulators”, Eur. Phys. J. Plus, 136:7 (2021)
K. V. Zhukovsky, “Analysis of the Influence of Nonperiodic Magnetic Fields and Off-Axis Effects on the Radiation of X-Ray FEL and Other FELs”, Moscow Univ. Phys., 75:4 (2020), 285
Citation in format AMSBIB
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