Bi-period undulator radiation and small signal free electron laser gain

Mishra, G.; Sharma, Atul

doi:10.1016/j.nima.2020.164287

Cited by 12 publications

(4 citation statements)

References 18 publications

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“…Undulator technology (Takashi, 2015;Pflueger, 2016) has emerged as an important tool in light-source (Hwang et al, 2011;Couprie, 2014), free-electron laser (Couprie, 2014;Jaeschke & Khan, 2020;Couprie, 2013;Huang et al, 2021;Mishra & Sharma, 2020) and inverse free-electron laser accelerator (Duris et al, 2012) applications. An undulator is a periodic arrangement of dipole magnets in the Halbach field configuration that produces a sinusoidal magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Improving the magnet alignment of undulator systems by laser interferometer

Khan¹,

Mishra²

2022

J Synchrotron Radiat

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The issue of intrinsic-type misalignment errors arising from angular offsets between magnets in an undulator is addressed. A random tilt of the magnets or poles generates undesirable magnetic field components in both transverse and longitudinal directions and gives rise to errors in period lengths and amplitudes. These localized errors are carried to the entire undulator segments and are a cause of concern for precision field integral and phase error estimates. A laser interferometer has been designed to read the offsets and to fix the magnets to minimize the offsets.

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Section: Introductionmentioning

confidence: 99%

Improving the magnet alignment of undulator systems by laser interferometer

Khan¹,

Mishra²

2022

J Synchrotron Radiat

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“…The effect of field harmonics on UR in multi-periodic magnetic fields has been studied in many works, e.g., recently in [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] and earlier in [41][42][43][44]; however, results have sometimes been contradictive and even controversial. Moreover, we noticed misprints in some earlier works that involved cumbersome analytical calculations for the radiation from undulators with field harmonics [28,32,34,40].…”

Section: Introductionmentioning

confidence: 99%

Spontaneous and Stimulated Undulator Radiation in Symmetric and Asymmetric Multi-Periodic Magnetic Fields

Zhukovsky

Fedorov

2021

Symmetry

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In this work, the radiation from electrons in multi-periodic undulator fields with symmetric and asymmetric harmonics was analyzed using generalized Bessel functions formalism. The asymmetric, symmetric, and anti-symmetric periodic magnetic fields with harmonics were studied in order to get the enhanced radiation of the high harmonics of undulator radiation (UR). The effect on the spontaneous and stimulated UR was explored. The exact integral forms for the Bessel coefficients were obtained for undulators with general symmetric and asymmetric field harmonics. Spectral properties of the radiation from several configurations of the undulator fields with harmonics were compared with each other. The resulting spontaneous UR spectrum and harmonic intensities were obtained analytically in the form of integrals and compared with the respective results that were obtained numerically with SPECTRA program. The dimensionless scaling parameter of a free electron laser (FEL)—the Pierce parameter (ρ)—was computed and compared for the different considered undulators. We studied the differences in the behavior of the high-gain single pass FEL harmonics and the spontaneous UR harmonics in the same undulators. The undulators with variable deflection parameter (k) were considered. The effect of the k parameter (deflection parameter for a common planar undulator) on the spontaneous UR and on the high-gain FEL radiation was explored. In this context, an experiment with variable strength undulators at FLASH 2 FEL was analyzed; the shorter saturated length in high harmonic self-seeding (HHSS) regime vs. self-amplified spontaneous emission (SASE) is explained.

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“…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. Это подтверждается в недавней работе [31]. В эллиптических ондуляторах также присутствуют гармоники поля, например, в предложенных ондуляторах с изменяемой эллиптичностью излучения APPLE-III для SwissFEL [32], Delta [33] для LCLS [34] и др.…”

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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Bi-period undulator radiation and small signal free electron laser gain

Cited by 12 publications

References 18 publications

Improving the magnet alignment of undulator systems by laser interferometer

Improving the magnet alignment of undulator systems by laser interferometer

Spontaneous and Stimulated Undulator Radiation in Symmetric and Asymmetric Multi-Periodic Magnetic Fields

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

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