Particle guiding by helical multipole fields

Analysis of helical quadrupole focusing channel

“…The electrostatic version of a HQFC has been analyzed [1,2] and tested [3][4][5]. The magnetic version of a HQFC has been treated as a series of rotating quadrupole slices [6] and analyzed using the Hamiltonian form [7]. However, analysis as beam optics was not achieved by LeCouteur [7].…”

“…The magnetic version of a HQFC has been treated as a series of rotating quadrupole slices [6] and analyzed using the Hamiltonian form [7]. However, analysis as beam optics was not achieved by LeCouteur [7]. Accurate analysis requires treatment of a field distribution that satisfies the Maxwell equation.…”

Analysis of continuously rotating quadrupole focusing channels using generalized Courant-Snyder theory

“…7 and 8, we obtain the solution for the transverse dynamics governed by the Hamiltonian (12) in the form of a linear map…”

“…Rotating quadrupole focusing channels have been investigated by many authors [12][13][14][15][16][17][18] as they can potentially provide stronger focusing than conventional FODO (Focusing-Off-Defocusing-Off) lattices due to the dense population of the focusing elements. 16 For example, an electrostatic version of a continuously rotating quadrupole focusing channel has been proposed for guiding very heavy charged particles.…”

Analysis of a helical quadrupole focusing channel

“…The electrostatic version of a HQFC has been analyzed [1,2] and tested [3][4][5]. The magnetic version of a HQFC has been treated as a series of rotating quadrupole slices [6] and analyzed using the Hamiltonian form [7]. However, analysis as beam optics was not achieved by LeCouteur [7].…”