2022
DOI: 10.1109/ted.2021.3138712
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Undulators Consisting of Magnetized Helices

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Cited by 7 publications
(4 citation statements)
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“…For example, in the XFEL-UC concept [1], this is a micro-undulator with a period of down to 3 mm and a field of 1 T. To do this, it is supposed to use a planar structure of Halbach lattices [2], assembled from solid combs of equally magnetized elements [3]. For the same purpose, we consider Halbach-type helical undulators of helices, each of which, like the combs in [1], is made of a single piece of ferromagnetic material [4]. Compared to a planar system, with the same gap for electron transport, a helical undulator provides a significantly larger rms oscillatory velocity and, consequently, a higher radiation efficiency or particle acceleration at a shorter length.…”
Section: Permanent Helical Undulators From Helicesmentioning
confidence: 99%
See 2 more Smart Citations
“…For example, in the XFEL-UC concept [1], this is a micro-undulator with a period of down to 3 mm and a field of 1 T. To do this, it is supposed to use a planar structure of Halbach lattices [2], assembled from solid combs of equally magnetized elements [3]. For the same purpose, we consider Halbach-type helical undulators of helices, each of which, like the combs in [1], is made of a single piece of ferromagnetic material [4]. Compared to a planar system, with the same gap for electron transport, a helical undulator provides a significantly larger rms oscillatory velocity and, consequently, a higher radiation efficiency or particle acceleration at a shorter length.…”
Section: Permanent Helical Undulators From Helicesmentioning
confidence: 99%
“…An obvious generalization of the planar Halbach undulators [2] to the case of helical geometry is a set of four alternating axially and radially magnetized helices with a width of a quarter of the undulator period d each (Fig. 1) [4]. The magnitude B of a helically polarized field on the axis of such undulator formed by infinite helices of a rectangular cross section is [4] Here, Br is the remnant magnetization of the ferromagnetic, 𝐾 1 (πœ‰) and 𝐾 1 β€² (πœ‰) are a first-order Macdonald function and its derivative, β„Ž = 2πœ‹/𝑑, πœ‰ 1,2 = β„Žπ‘… 1,2 , 𝑅 1,2 are the inner and outer helix radii.…”
Section: Permanent Helical Undulators From Helicesmentioning
confidence: 99%
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“…According to calculations, the helical undulators from magnetized rare earth helices proposed in [1] make it possible to obtain stronger fields than planar undulators. Thus, a Halbach-like set of four alternately longitudinally and radially magnetized helices (Fig.…”
Section: New Variants Of Permanent Helical Undulatorsmentioning
confidence: 99%