Scale invariance of electrodynamics in radio-frequency linear accelerators: https://arxiv.org/abs/2109.14273
In this paper we discuss scale transformation of the electromagnetic fields and trajectories of ions in radio-frequency linear accelerators. We will obtain a condition for mechanical similarity, where the Maxwell equations with the source terms and the equation of motion under Lorentz force remain invariant, including the space charge fields, while the trajectories of ions are scaled accordingly. Possibility of linear accelerators for extremely high current beams will be considered based on this condition.
Comments: 5 pages, no figure