Coupling impedance for modern accelerators

Self-acceleration of a charge traveling into a waveguide

“…The inequality W ð1Þ > W ð2Þ can be satisfied, for example, owing to differences in the permittivities or permeabilities [1,5]. In the case of vacuum structure (where ε 1 ¼ ε 2 ¼ μ 1 ¼ μ 2 ¼ 1), this inequality can be satisfied due to the difference in the conductive surfaces surrounding the charge trajectory, because these surfaces influence the electromagnetic field [2][3][4]. Naturally, for the case of relativistic motion, the radiation losses partially prevent self-acceleration.…”

“…At the same time, self-fields can accelerate particles [1][2][3][4][5]. Such an effect cannot be realized if the charge environment at the end of the trajectory part under consideration is the same as the one at the beginning of the trajectory part.…”

“…This assumption is exactly fulfilled only for a particle with infinite mass. However, this assumption is approximately true for many situations, in particular, for many problems of transition and diffraction radiation [1][2][3][4][5][6][7][8][9][10].…”

Laser acceleration in a striped mirror waveguide

“…Therefore, the condition of periodicity in terms of synchronism can be easily reformulated as N c >2N f . The same relationship was formulated, in fact, by S. Kheifits [4] for conventional circular structures.…”

Models for short-range wakefields in planar structures

“…, see [5,6]) we apply an extended formulation of the Sessler-Vainshtein approach [4]. The optical cavity modal loss factor α s corresponds to a single pass of the diffracted wave excited by the incident ('image') field.…”