Relativistic Motion and Energy Gain of Charged Particles in a Standing Wave Near Cyclotron Resonance

摘要

The relativistic equations of motion of a charged particle in an R.F. standing wave and a uniform d.c. magnetic field are solved by use of a computer. Curves of energy gain, ratios of transverse to longitudinal energy, and interaction times are found for particles that either are reflected from or pass through the R.F. field. Some of the effects of relativistic mass increase are found to be predicted by a simple modification of the time-averaged theory. It is proved that, after its interaction with an R.F. field with a space variation only along the dic. magnetic field, that the guiding center of the charged particle remains unchanged. (Author)