- Open Access
Resistive wall wake for nonultrarelativistic beam in ring model
Phys. Rev. Accel. Beams 29, 024202 – Published 12 February, 2026
DOI: https://doi.org/10.1103/c4zc-mghl
Abstract
The nonultrarelativistic wake function theory is not only applicable to proton or heavy ion accelerators, but with the emergence of new accelerator physics, it has been found to be equally applicable to electron accelerators such as the steady-state microbunching (SSMB) storage rings. However, existing results are still far from practical applications. In this paper, building on previous work, we further generalize the previous point source model into a more universal ring model. When considering the nonultrarelativistic limit, we discover a completely new lowest-order transverse wakefield and estimate its intensity to be comparable to the dipole field under certain circumstances. Moreover, by separating the space charge component, we propose a numerical algorithm that can compute the resistive wall field more efficiently. Finally, we calculate the parasitic loss and kick angle using SSMB parameters as simple applications.
Physics Subject Headings (PhySH)
Article Text
References (9)
- G. Stupakov, Resistive-wall wake for nonrelativistic beams revisited, Phys. Rev. Accel. Beams 23, 094401 (2020).
- D. F. Ratner and A. W. Chao, Steady-state microbunching in a storage ring for generating coherent radiation, Phys. Rev. Lett. 105, 154801 (2010).
- X. Deng, A. Chao, J. Feikes, A. Hoehl, W. Huang, R. Klein, A. Kruschinski, J. Li, A. Matveenko, Y. Petenev et al., Experimental demonstration of the mechanism of steady-state microbunching, Nature (London) 590, 576 (2021).
- R. L. Gluckstern, Analytic methods for calculating coupling impedances, Report No. CERN-2000-011, CERN, 2000, 10.5170/CERN-2000-011.
- A. M. Al-khateeb, O. Boine-Frankenheim, I. Hofmann, and G. Rumolo, Analytical calculation of the longitudinal space charge and resistive wall impedances in a smooth cylindrical pipe, Phys. Rev. E 63, 026503 (2001).
- F. Zimmermann and K. Oide, Resistive-wall wake and impedance for nonultrarelativistic beams, Phys. Rev. ST Accel. Beams 7, 044201 (2004).
- A. W. Chao, Physics of Collective Beam Instabilities in High Energy Accelerators, Wiley Series in Beam Physics and Accelerator Technology (John Wiley & Sons, New York, 1993), ISBN [Amazon][WorldCat].
- K. L. Bane and M. Sands, The short-range resistive wall wakefields, AIP Conf. Proc. 367, 131 (1996).
- J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 2021).
