Abstract
The radiation of a particle instantly injected into an infinite ideal cylindrical waveguide and implementing a helical motion is considered. Additionally, the problem of the radiation of a time-varying point charge moving stationary along a helical orbit in the same waveguide is also solved. Additionally, an explicit expression is obtained for the longitudinal component of the electric field of radiation with a wavefront moving together with the particle. The basic properties of radiation are determined: the conditions for its forward propagation are obtained, and its angular directivity is determined. A formula is given that describes radiation upon gradual introduction of a bunch into a waveguide (modeling the injection process) and during its subsequent propagation.
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