Abstract
The electromagnetic field of a bunch moving in the presence of a plane grid composed of thin parallel wires is considered by using the averaged boundary conditions method. Two different cases of motion are examined. In the first one, the bunch moves at a constant distance from the grid orthogonally to the wires. The excited surface wave is presented in the form of a spectral integral for a thin bunch with an arbitrary longitudinal profile. The wave propagates along the wires and does not decay with distance (if dissipation is negligible). Energy losses of the bunch over a unit path are obtained. In the second case, the bunch orthogonally crosses the wire grid. The volume and surface waves are separately analyzed. Properties of the spectral angular density of energy of volume radiation in the far-field zone are described. The energy losses due to the volume and surface radiation are determined. It is demonstrated that the structure of the surface waves in both cases allows determination of the length of the bunch.
Highlights
The investigation of charged-particle radiation in the presence of periodic structures with small spacing is interesting for the diagnostics of bunches, generation of radiation, and screening of electromagnetic fields
We study the radiation of charged-particle bunches with an arbitrary longitudinal profile and consider both volume radiation and surface radiation
We have investigated the radiation of charged-particle bunches that move parallel or perpendicularly to the plane grid composed of thin parallel wires by using the averaged boundary conditions method
Summary
The investigation of charged-particle radiation in the presence of periodic structures with small spacing is interesting for the diagnostics of bunches, generation of radiation, and screening of electromagnetic fields. It has been shown that a charge moving orthogonally to wires generates nondivergent radiation that concentrates near certain lines behind the charge. Because of these properties, such structures can be used to determine the bunch sizes. It is reasonable to consider planar (2D) structures composed of parallel wires. Such problems were studied in a series of papers [5,6,7,8,9], the authors analyzed only the case of a point charge and mainly focused on a volume part of the radiation. Into account both the geometry parameters and the finite conductivity of the wires
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