Sources of undulator radiation (Theory, Experiment, Applications)

Alferov, D. F.; Bashmakov, Yu.A.; Belovintsev, K.A.; Bessonov, E. G.; Cherenkov, P.A.

doi:10.3367/ufnr.0128.197905h.0177

Cited by 6 publications

(4 citation statements)

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“…Real beams have finite sizes; off-axis positions of the electrons in the beams cause their betatron oscillations, described already in the second half of the 20th century. [79][80][81][82][83] This phenomenon is more noticeable for low energy beams than in modern installations, where 𝛾 ≈ 10 3 -10 4 . For the undulator with field harmonics, the physics does not change (see ref.…”

Section: Spontaneous Radiation From Undulatorsmentioning

confidence: 98%

Theoretical Analysis of the Radiation Properties of Some Major X‐Ray Free Electron Lasers

Zhukovsky

2021

Annalen der Physik

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A theoretical analysis of the radiation in X-ray free electron lasers (FELs) LCLS, PAL-XFEL, SwissFEL, as well as SACLA, FLASH 2, and European XFEL is presented. Major losses in FELs are analytically accounted for and analyzed, using exact expressions for the Bessel factors in terms of the generalized Bessel functions. This allows distinguishing the contributions of key parameters and accounting for the losses individually for each harmonic, considering higher sensitivity of the electron-photon interaction at higher harmonic wavelengths. The harmonic power evolution along FELs and the spectral width of the radiation lines is studied. The theoretical results are analyzed and are compared with the available experimental data for the FEL experiments. The harmonic generation and amplification in the FELs are modeled and studied with the harmonic lasing self-seed (HLSS) with separate buncher and radiator, and the results are compared with those for SASE. The spectral properties of the radiation are analytically calculated and compared with the measured spectral characteristics. The advantages of HLSS versus SASE FEL are elucidated in the examples of FLASH2, European XFEL, and SwissFEL. The prospected radiation properties of LCLS-II FEL are analyzed and the possibilities of using harmonics in this FEL are proposed.

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Section: Spontaneous Radiation From Undulatorsmentioning

confidence: 98%

Theoretical Analysis of the Radiation Properties of Some Major X‐Ray Free Electron Lasers

Zhukovsky

2021

Annalen der Physik

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“…Our approach to calculate I(ω) is based on the paper of Alferov et al [33] and that of Krinsky et al [34]. The only difference is that we are dealing with large K case, hence we could eliminate K from the equations as was done for the impedance.…”

Section: Appendix E: Real Part Of the Impedance And The Wiggler Radia...mentioning

confidence: 99%

Calculation of the coherent synchrotron radiation impedance from a wiggler

Raubenheimer

Stupakov

2003

Phys. Rev. ST Accel. Beams

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Most studies of coherent synchrotron radiation (CSR) have considered only the radiation from independent dipole magnets. However, in the damping rings of future linear colliders, a large fraction of the radiation power will be emitted in damping wigglers. In this paper, the longitudinal wakefield and impedance due to CSR in a wiggler are derived in the limit of a large wiggler parameter K. After an appropriate scaling, the results can be expressed in terms of universal functions, which are independent of K. Analytical asymptotic results are obtained for the wakefield in the limit of large and small distances, and for the impedance in the limit of small and high frequencies.

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“…Before the calculation, we will investigate a limiting case of the ®eld pattern in (46). The far-®eld pattern of synchrotron radiation from the undulator is approximately written as (Alferov et al, 1973(Alferov et al, , 1974Kincaid, 1977) ExY L 9 sinN%2xaN sin%2x…”

Section: Basic Theory Of Synchrotron Radiationmentioning

confidence: 99%

Relationship Between Spatial Coherence of Synchrotron Radiation and Emittance

Takayama

Hatano

Miyahara

et al. 1998

J Synchrotron Radiat

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Analytical calculation of the ®rst-order spatial coherence for the Gaussian beam and the exact numerical calculation for synchrotron radiation are compared in this paper. The approximation of regarding synchrotron radiation as a Gaussian beam is often used to investigate the brightness, thē ux and some qualitative properties. Calculations show that synchrotron radiation does not have as high coherence as the Gaussian beam because of the beam pro®le, the phases of the wave and the polarization. If one can measure the beam size and the spatial coherence of synchrotron radiation, it is possible to determine the total photon beam emittance without any knowledge of the Twiss parameters of the ring.

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Sources of undulator radiation (Theory, Experiment, Applications)

Cited by 6 publications

References 0 publications

Theoretical Analysis of the Radiation Properties of Some Major X‐Ray Free Electron Lasers

Theoretical Analysis of the Radiation Properties of Some Major X‐Ray Free Electron Lasers

Calculation of the coherent synchrotron radiation impedance from a wiggler

Relationship Between Spatial Coherence of Synchrotron Radiation and Emittance

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