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Improved Generation of Higher Harmonics and Suppression of the Lowest Harmonics in an X-Ray FEL with a Two-Frequency Undulator

  • THEORETICAL AND MATHEMATICAL PHYSICS
  • Published:
Moscow University Physics Bulletin Aims and scope

An Erratum to this article was published on 01 November 2019

An Erratum to this article was published on 01 May 2019

This article has been updated

Abstract

Theoretical research and simulation of the suppression of the lowest harmonics of free-electron laser radiation (FEL) with a two-frequency undulator was carried out. A phenomenological model of an FEL that describes the evolution of power in an FEL considering all the main losses was used. Radiation of harmonics in an FEL with a two-frequency flat undulator is compared with the radiation of harmonics in an FEL with an ordinary flat undulator. Radiation of harmonics and the FEL-induced energy spread in a single-pass FEL, where harmonics that are lower with respect to the nth harmonic are suppressed, for example, by a shift of the electron phase relative to photons by kπ/n, k = even, between the undulator walls were investigated. The advantages of using a two-frequency undulator in an FEL with suppressed lowest harmonics and the possibility of generating high-power X-ray radiation of higher harmonics in a linear mode are illustrated. The power of the higher harmonics can exceed the pitch power of an ordinary FEL with a flat undulator.

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Change history

  • 17 March 2020

    The authors apologize for the misprints in the article “Improved Generation of Higher Harmonics and Suppression of the Lowest Harmonics in an X-Ray FEL with a Two-Frequency Undulator” by K. Zhukovsky in <Emphasis Type="Italic">Moscow University Physics Bulletin, 2018, Vol. 73, No. 5, pp. 462–469</Emphasis>, DOI: <ExternalRef><RefSource>https://doi.org/10.3103/S0027134918050193</RefSource><RefTarget Address="10.3103/S0027134918050193" TargetType="DOI"/></ExternalRef>, and communicate the following corrected formula (5) for the Bessel coefficients <Emphasis Type="Italic">f</Emphasis><Subscript><Emphasis Type="Italic">n</Emphasis></Subscript> of the two-frequency undulator:

  • 06 August 2019

    We hereby clarify the following correct mathematical formof <Emphasis Type="Bold">formula (5) and formulas in the text above</Emphasis> it for the Bessel coefficients of a dual-frequency undulator:

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ACKNOWLEDGMENTS

We thank Professor A.V. Borisov, Professor V.Ch. Zhukovskii, Professor A. N. Vasil’ev, and Leading Researcher A.E. Lobanov for useful discussions.

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  1. Moscow State University, 119991, Moscow, Russia

    K. V. Zhukovsky

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  1. K. V. Zhukovsky
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Correspondence to K. V. Zhukovsky.

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Translated by I. P. Obrezanova

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Zhukovsky, K.V. Improved Generation of Higher Harmonics and Suppression of the Lowest Harmonics in an X-Ray FEL with a Two-Frequency Undulator. Moscow Univ. Phys. 73, 462–469 (2018). https://doi.org/10.3103/S0027134918050193

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