Abstract
Dielectric lined waveguides are under extensive study as accelerating structures that can be excited either by Cherenkov radiation from electron beams or by external X-band or THz rf sources. Rectangular dielectric structures can be used both in proof of principle experiments for new accelerating schemes but also for studying the electronic properties of the structure loading material. General solutions for the fields generated by a relativistic electron beam propagating in a rectangular dielectric waveguide have been derived using the mode expansion method for the transverse operators of the Helmholtz equation, a new approach presented here for the first time. We derived an expression for the Green function of the combined Cherenkov and Coulomb fields obtained in terms of a superposition of LSM and LSE-modes. The resulting solution was incorporated into the previously developed BBU-3000 particle simulation code for modelling transverse beam dynamics. The parameter space essential for the beam stability defined by the Cherenkov radiation and the local Coulomb fields has also been obtained.
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