Spectral properties of two frequency harmonic undulator radiations and effect of energy spread

Jeevakhan, Hussain; Mishra, G.

doi:10.1016/j.nima.2011.07.011

Cited by 14 publications

(7 citation statements)

References 26 publications

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“…1). This observation corrects and clarifies previous reports in the literature (Zhukovsky, 2015a(Zhukovsky, ,b, 2016aJeevakhan & Mishra, 2011;Mishra et al, 2009;Jia, 2011).…”

Section: Discussionsupporting

confidence: 92%

“…A relatively weak, h ' 0.1-0.5, third field harmonic can be present in real devices. There have been controversial conclusions (Zhukovsky, 2015a(Zhukovsky, ,b, 2016aJeevakhan & Mishra, 2011;Mishra et al, 2009;Jia, 2011) on its effect on the UR harmonics. We rigorously obtained the analytical expressions for the Bessel functions T n for the undulator field (1) by computing the radiation integral…”

Section: Introductionmentioning

confidence: 99%

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Effect of the third undulator field harmonic on spontaneous and stimulated undulator radiation

Zhukovsky

2019

J Synchrotron Rad

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The effect of undulator field harmonics on spontaneous and stimulated undulator radiation, both on and off the undulator axis, is studied. Bessel factors for the undulators with field harmonics have been analytically calculated and numerically verified. The influence of the third undulator field harmonic on single‐pass free‐electron laser radiation is explored. Harmonic generation at the LCLS and SPring‐8 free‐electron lasers is modeled and analyzed.

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“…1). This observation corrects and clarifies previous reports in the literature (Zhukovsky, 2015a(Zhukovsky, ,b, 2016aJeevakhan & Mishra, 2011;Mishra et al, 2009;Jia, 2011).…”

Section: Discussionsupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Effect of the third undulator field harmonic on spontaneous and stimulated undulator radiation

Zhukovsky

2019

J Synchrotron Rad

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“…Recent studies on similar topics were performed by other authors, for example, in [34][35][36]. The degradation in brightness and gain due to the energy spread was described in [37]. In what follows, we will demonstrate how the whole complex of the broadening phenomena together with the constant field component can correct the conclusions of our previous work.…”

Section: Analytical Treatment Of the Ur Losses In A Double-frequency supporting

confidence: 65%

Harmonic generation by ultrarelativistic electrons in a planar undulator and the emission-line broadening

Zhukovsky

2014

Journal of Electromagnetic Waves and Applications

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We present an analytical treatment of the undulator radiation (UR), accounting for major sources of the spectral-line broadening, for example, the beam energy spread, the emittance, and a constant magnetic field, additional to the ideal periodic fields. The examples of high harmonic generation in one-and two-frequency undulators are considered with account for homogeneous and inhomogeneous broadening in real devices. Qualitative estimations are given as well as the exact analytical expressions for the UR spectrum, and intensity are obtained and simplified in the case of high-energy electrons. The compensation of the divergency by the constant magnetic field is demonstrated in the analytical form. The application for free-electron lasers (FEL) is demonstrated and compared with the radiation of a FEL on the supposition of an ideal undulator.

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“…Some methods such as putting high permeability shims along the undulator length have been adopted and are used. It has been demonstrated that harmonic undulators can be exploited to regulate the emission of certain selected harmonics and hence contribute to the development of the efficient devices with high extraction and narrow spectrum [31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Small Signal Bi-Period Harmonic Undulator Free Electron Laser

Mishra¹,

Sharma²,

Khan³

2020

PIER C

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In this paper, we discuss the spectral property of radiation of an electron moving in a biperiod harmonic undulator field with a phase between the primary undulator field and the harmonic field component. We derive the expression for the photons per second per mrad 2 per 0.1% BW of the radiation. A small signal gain analysis also is discussed highlighting this feature of the radiation. A bi-period index parameter, i.e., Λ is introduced in the calculation. According to the value of the index parameter, the scheme can operate as one period or bi-period undulator. It is shown that when Λ = π, the device operates at the fundamental and the third harmonic. However, when Λ = π/2, it is possible to eliminate the third harmonic.

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Spectral properties of two frequency harmonic undulator radiations and effect of energy spread

Cited by 14 publications

References 26 publications

Effect of the third undulator field harmonic on spontaneous and stimulated undulator radiation

Effect of the third undulator field harmonic on spontaneous and stimulated undulator radiation

Harmonic generation by ultrarelativistic electrons in a planar undulator and the emission-line broadening

Small Signal Bi-Period Harmonic Undulator Free Electron Laser

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