Cherenkov Radiation from Short Relativistic Bunches: General Approach

Abstract

In recent years new interest in Cherenkov radiation has arisen based on progress in its new applications like biomedical imaging, photonic structures, metamaterials, and beam physics. These new applications require Cherenkov radiation theory of short bunches to be extended to rather more complicated media and structures than considered originally. We present a new general approach to the analysis of Cherenkov fields and loss factors for relativistic short bunches in arbitrary slow wave guiding systems. This new formalism is obtained by considering a general integral relation that allows calculation of the fields in the vicinity of the charge. The proposed approach dramatically simplifies simulations using analytical fields near the moving source of Cherenkov radiation.

Collision-induced activation: Towards industrially scalable approach to graphite nanoplatelets functionalization for superior polymer nanocomposites

“…The point charge method is a new theoretical approach, recently proposed by Baturin et al . 42 for calculation of the Cherenkov radiation phenomenon. The Cherenkov radiation is an electromagnetic radiation emitted when a charged particle, such as an electron, passes through a dielectric medium at a speed greater than the phase velocity of light in that medium 43 .…”

Upper limit for the accelerating gradient in the collinear wakefield accelerator as a function of the transformer ratio

“…Another important parameter to be considered is the magnitude of the accelerating field which is strictly defined by the product of the total bunch charge and the loss factor, i.e., Qκ ∥ (see, e.g., [19,20]). Evidently, these are not free parameters because the limitations on both are given by considerations of stability of the drive bunch propagating the wake field creating environment and gradually decelerating (possible tradeoffs are discussed for example in [21] In the first case we consider a single mode Green's function GðsÞ ¼ 2κ ∥ cosðksÞ.…”

Short-range wakefields generated in the blowout regime of plasma-wakefield acceleration

“…In the limit a 1 we find that w l ≈ 4/a 2 which is a standard universal expression for the wake at a short distance behind a point charge propagating in a round pipe of radius a with resistive, dielectric or corrugates walls [10,11]. In the opposite limit, a 1, we find w l ≈ 2 ln(2/a) − 2γ E with γ E = 0.577 the Euler constant.…”

“…It is interesting to compare the calculated short-range wakes with their analogs in a round pipe of radius a. It was already mentioned in Section IV that the longitudinal short-range wake is w l = 4/a 2 , and it does not depend on the electrodynamic properties of the material wall of the pipe [10,11]. Similarly, the short-range transverse wake under the same conditions is a linear function of the distance z between the source and the witness charges with the slope dw t /dz = 8/a 4 .…”