How do electrons induce resonance in a cavity resonator?

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Electrons induce resonance in a cavity resonator by interacting with the electromagnetic fields within the cavity. When electrons are accelerated, they can create oscillating electric fields that resonate at specific frequencies. This resonance occurs as electrons bounce between the walls of the cavity, amplifying the electromagnetic waves. The precise frequency of resonance depends on the cavity's dimensions and the properties of the electrons. Understanding this interaction is crucial for applications in particle accelerators and other advanced technologies.
hobbs125
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I've been reading lately in particle accelerators and electrons and it got me wondering.

How do electrons induce resonance in a cavity resonator? Do they have to first be accelerated to one of the walls of the cavity where they then bounce off toward the other wall?
 
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Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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