Short range wakefield in a flat pillbox cavity generated by a sub-relativisticbeam bunch

摘要

The short-range wakefield between two parallel conducting plates generated by asub-relativistic beam bunch has been solved analytically by image charge method in time domain. Comparing with traditional modal analysis in frequency domain, this algorithm simplifies mathematics and reveals great details of physics in electromagnetic field generation, propagation, reflection and causality. The calculated results have an excellent agreement with MAFIA and ABCI simulations in all range of beam velocities.