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Linear canted permanent magnet field derivation for low dispersion undulator design
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DOI：10.1016/j.net.2026.104526.png)
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Abstract
En 中文
In this study, we present analytical formulas for the 3D magnetic field of canted (right-angled trapezoid) bar magnets. These magnets are a variant of pure permanent magnets (PPMs) that introduce a quadrupole component in addition to the dipole field, allowing quad-like beam focusing without side magnets. Through conformal mapping and linear approximations, we derive a set of equations that accurately describe the spatial magnetic field in a canted magnet. These equations are validated through numerical simulations and electron beam trajectory analysis, confirming their reliability.
Keywords:
Canted magnet
Linear canted magnet undulator
FEL
Permanent magnet
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