Electron acceleration in a helical waveguide

VIII International Symposium Radiation from Relativistic Electrons in Periodic Structure (RREPS-09) Zvenigorod, Russia, September 7-11, 2009International audienceTravelling wave in a helical wave guide is considered for electron acceleration. A first determination of the travelling wave modes using a partial wave expansion (PWE) and a point matching method is presented. It gives a rapid solution for moderate deformation of the guide relative to a straight cylinder. Strong deformations will give higher accelerating gradient but the PWE diverges. Two methods overcoming this difficulties are suggested