How does cyclotron resonance accelerate charged particles?

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Cyclotron resonance is a physical phenomenon that accelerates charged particles by utilizing the interaction between an alternating electric field and the natural orbital motion of a particle within a magnetic field.1

In a uniform magnetic field, a charged particle gyrates about a line of force at a specific rate known as the cyclotron frequency. When an external electric field is applied that oscillates at this same frequency, the particle experiences a resonant interaction. Because the electric field reverses its polarity in sync with the particle's orbital rotation, the particle is repeatedly accelerated each time it crosses the gap between electrodes.1234

This continuous, synchronized acceleration forces the particle to travel in an ever-expanding spiral orbit, gaining energy with each revolution. This principle serves as the fundamental mechanism for the cyclotron, a type of particle accelerator used to reach high energy levels. In the context of plasma, this technique is also employed for heating, where electromagnetic waves transfer energy to ions or electrons through resonant absorption.1452