Harmonically Resonant Cavities for High Brightness Beams

Several cavities of simple geometry that support two or more harmonic rf frequencies have been designed. The fields from these cavities are superimposed to form nonsinusoidal waveforms which have important applications in optimized bunchers, high brightness linacs, and storage rings. These cavities are compared in the areas of R/Q, peak surface electric and magnetic fields, and power dissipation. The issues of frequency tuning, rf drive and control, and loading of higher order modes are also addressed.