- Open Access
Matched transport of intense coupled beams in periodic solenoid focusing channels
Phys. Rev. Accel. Beams 29, 054401 – Published 27 May, 2026
DOI: https://doi.org/10.1103/rb9h-cz13
Abstract
Intense uncoupled beams are conventionally transported through periodic focusing lattices composed of linear optical elements that provide radial confinement against defocusing space-charge forces. In such systems, interplane coupling has traditionally been regarded as an undesirable perturbation. Recently, however, the concept of matched transport in periodic quadrupole focusing channels has been extended from uncoupled beams to those exhibiting significant correlations between the two transverse degrees of freedom [C. Xiao et al., Periodic four-dimensional solution for transport of intense and coupled coasting beams through quadrupole channels, Phys. Rev. Accel. Beams 27, 031602 (2024)]. Building on this development, the present work generalizes the full four-dimensional rms-moment matching formalism to periodic solenoid transport channels. A notable application of this approach, for instance, is the efficient transport of high-current, low-energy proton coasting beams.
Physics Subject Headings (PhySH)
Article Text
References (19)
- M. Reiser, Theory and Design of Charged Particle Beams (John Wiley & Sons Inc., New York, 1994).
- F. Sacherer, RMS envelope equations with space charge, IEEE Trans. Nucl. Sci. 18, 1105 (1971).
- T. P. Wangler, Rf Linear Accelerators, 2nd ed. (Wiley-VCH, Mannheim/Germany, 2008), p. 296.
- L. Groening, W. Barth, W. Bayer, G. Clemente, L. Dahl, P. Forck, P. Gerhard, I. Hofmann, G. Riehl, and S. Yaramyshev, Benchmarking of measurement and simulation of transverse rms-emittance growth, Phys. Rev. ST Accel. Beams 11, 094201 (2008).
- L. Groening, M. Maier, C. Xiao, L. Dahl, P. Gerhard, O. K. Kester, S. Mickat, H. Vormann, and M. Vossberg, Experimental proof of adjustable single-knob ion beam emittance partitioning, Phys. Rev. Lett. 113, 264802 (2014).
- D.-O. Jeon, Experimental evidence of space charge driven resonances in high intensity linear accelerators, Phys. Rev. Accel. Beams 19, 010101 (2016).
- L. Arnaudon et al., Linac4 technical design report, Report No. CERN-AB-2006-084-ABP/RF, Geneva, 2006.
- A. Khan, O. Boine-Frankenheim, F. Hug, and C. Stoll, Beam matching with space charge in energy recovery linacs, Nucl. Instrum. Methods Phys. Res., Sect. A 948, 162822 (2019).
- C. Xiao and L. Groening, Periodic four-dimensional solution for transport of intense and coupled coasting beams through quadrupole channels, Phys. Rev. Accel. Beams 27, 031602 (2024).
- D. Chernin, Evolution of rms beam envelopes in transport systems with linear coupling, Part. Accel. 24, 24 (1988), https://cds.cern.ch/record/1053510/files/p29.pdf.
- C. Xiao, O. K. Kester, L. Groening, H. Leibrock, and M. Maier, Single-knob beamline for transverse emittance partitioning, Phys. Rev. ST Accel. Beams 16, 044201 (2013).
- J. J. Barnard and B. Losic, Envelope modes of beams with angular momentum, in Proceedings of the XXth International Linac Conference, Monterey, USA, edited by A. W. Chao (Stanford Linear Accelerator Center, Stanford, USA, 2000).
- A. Burov, Circular modes for flat beams in the LHC, Phys. Rev. ST Accel. Beams 16, 061002 (2013).
- Y.-L. Cheon, S.-H. Moon, M. Chung, and D.-O. Jeon, Effects of beam spinning on the fourth-order particle resonance of 3D bunched beams in high-intensity linear accelerator, Phys. Rev. Accel. Beams 25, 064002 (2022).
- A. Hoover, N. J. Evans, and J. A. Holmes, Computation of the matched envelope of the Danilov distribution, Phys. Rev. Accel. Beams 24, 044201 (2021).
- L. Groening, Considerations and findings on beam vorticity dynamics, arXiv:2401.13644v3.
- PTC mathcad, https://www.ptc.com/en/engineering-math-software/mathcad.
- Y. K. Batygin, Particle-in-cell code beampath for beam dynamics simulations in linear accelerators and beam lines, Nucl. Instrum. Methods Phys. Res., Sect. A 539, 455 (2005).
- K. R. Crandall and D. P. Rusthoi, Documentation for trace: An interactive beam-transport code, Internal Report No. LA-10235-M, Los Alamos National Laboratory, 1985, 10.2172/5937743.