Energy Losses of an Electron Bunch Moving along the Axis of a Circular Waveguide with Periodically Perturbed Wall

1 June 1979

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Nuclear Science

Vol. 26 (3) , 3523-3525
https://doi.org/10.1109/tns.1979.4330087

Abstract

The field radiated by an electron bunch moving along the axis of a circular periodic waveguide is obtained from Maxwell's equations using a perturbation method. The guide shape is defined by its radius a(z) = ao {I + εs(z)} where ao denotes the mean guide radius, s(z) the guide geometry and ε a small perturbation parameter. Electromagnetic field is calculated up to second order in ε . The total energy loss suffered by the bunch and the potential acting on individual particles are related to the following parameters : charge, shape and width of the bunch, energy, guide geometry, by comparatively simple formulas. The influence of these parameters is calculated for a gaussian bunch and a rounded iris waveguide. This example clarifies under what conditions energy losses are virtually independent of energy and shows the importance of the bunch width.

Keywords

This publication has 3 references indexed in Scilit:

Radiation losses in electron ring cavities
Nuclear Instruments and Methods, 1975
Circular Waveguide with Sinusoidally Perturbed Walls
IEEE Transactions on Microwave Theory and Techniques, 1975
Diffraction radiation of charged rings moving in a corrugated cylindrical pipe A model of radiation losses in an electron ring accelerator
Nuclear Instruments and Methods, 1972