Analysis of spectral properties of harmonic undulator radiation of an electromagnet undulator

Prakash, Bramh; Huse, Vijay; Gehlot, Mona; Mishra, G.; Mishra, Sonali

doi:10.1016/j.ijleo.2015.11.085

Cited by 28 publications

(17 citation statements)

References 24 publications

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“…They cause the split of the spectral lines and give rise to even-harmonics radiation on the undulator axis. This topic has been recently readdressed by Prakash et al (2016) with regard to the bi-harmonic undulator. For the undulator with multi-harmonic field (1) we obtain similar results, which reduce in their limiting cases to those of Prakash et al (2016).…”

Section: Figurementioning

confidence: 99%

“…This topic has been recently readdressed by Prakash et al (2016) with regard to the bi-harmonic undulator. For the undulator with multi-harmonic field (1) we obtain similar results, which reduce in their limiting cases to those of Prakash et al (2016). The split of the UR line occurs in the harmonics, distant by the betatron frequency,…”

Section: Figurementioning

confidence: 99%

“…whereJ J p ; ð Þ is defined by (8) and depends on , (18), and J n n ð i Þ is defined by (3) for the undulator field (1); the result in the limiting case of the bi-harmonic undulator reduces to that of Prakash et al (2016). The contribution of the betatron oscillations to the even harmonic generation is rather small.…”

Section: Figurementioning

confidence: 99%

“…Split of the fundamental radiation line in betatron harmonics p for PAL XFEL at = 1.5 nm (a) and at = 0.144 nm (b) as a function of the distance from the axis Á. Zhukovsky, 2019a,c,e;Prakash et al, 2016). The radiation wavelengths…”

Section: Figurementioning

confidence: 99%

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Theoretical spectral analysis of FEL radiation from multi-harmonic undulators

Zhukovsky

2020

J Synchrotron Rad

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A theoretical study of the spontaneous and stimulated undulator radiation (UR) from electrons in undulators with multiple periods in both transversal directions is presented. Exact expressions are derived for the UR intensities in terms of the generalized Bessel and Airy functions, accounting for undulator field harmonics of arbitrary strength and for real parameters of the beams and installations. Theoretical results are verified with numerical and experimental data for SWISS-XFEL, PAL-XFEL, LEUTL, LCLS etc. The spectrum, UR line shape and width, and the harmonic evolution along the undulators are analyzed and compared with the available data for these experiments. Moreover, the effect of the field harmonics is elucidated. It is demonstrated that the third field harmonic can cause distinct odd UR harmonics. The asymmetric undulator field configuration is identified, which allows intense radiation of these harmonics. The power evolution in a free-electron laser (FEL) with such an undulator is studied by means of an analytical FEL model. The latter is enhanced by a true description of the gradual power saturation of harmonics. A FEL with elliptic undulator and electron–photon phase-shifting is proposed and modeled. It is shown that the resulting harmonic power from the phase-shifted elliptic undulator can be significantly higher than from a planar undulator with the same phase-shifting.

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Section: Figurementioning

confidence: 99%

Section: Figurementioning

confidence: 99%

Section: Figurementioning

confidence: 99%

Section: Figurementioning

confidence: 99%

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Theoretical spectral analysis of FEL radiation from multi-harmonic undulators

Zhukovsky

2020

J Synchrotron Rad

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“…Амплитуда гармоник поля может доходить до ∼ 20−30% основного поля ондулятора [19,23,24]. Влияние гармоник поля на излучение реальных электромагнитных ондуляторов изучалось, например, в [25,26], а также в ондуляторах с постоянными магнитами и с электромагнитами в [27][28][29][30]. В этих исследованиях был сделан вывод о том, что гармоники поля ондулятора с соответствующей фазой и амплитудой могут усилить излучение гармоник ОИ и дать более высокий коэффициент усиления высших гармоник ЛСЭ.…”

Section: Introductionunclassified

Генерация Гармоник В Экспериментах С Лазерами На Свободных Электронах В Рентгеновском Диапазоне --- Теоретический Анализ

Zhukovskii¹

2021

Журнал Технической Физики

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Analytical description of the generation of harmonics of the undulator radiation (UR) in free electron lasers (FELs) is given for various FEL experiments in the X-ray band. The expressions for the spectral line shape and intensity are written explicitly in terms of the generalized Bessel and Airy functions with account for the electron energy spread, beam sizes and emittances, spectral line split and non-periodic magnetic fields. The presented theory describes well the radiation spectral properties and harmonic intensities in all studied FEL experiments: SACLA, LCLS, PAL-XFEL, SwissFEL et al., in various conditions with the radiation in wide range of frequencies, covering hard X-rays.

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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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Analysis of spectral properties of harmonic undulator radiation of an electromagnet undulator

Cited by 28 publications

References 24 publications

Theoretical spectral analysis of FEL radiation from multi-harmonic undulators

Theoretical spectral analysis of FEL radiation from multi-harmonic undulators

Генерация Гармоник В Экспериментах С Лазерами На Свободных Электронах В Рентгеновском Диапазоне --- Теоретический Анализ

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

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