Why do electron linear accelerators use traveling electromagnetic waves?

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Electron linear accelerators utilize traveling electromagnetic waves because of the unique physical properties of electrons. Due to their small mass, electrons reach speeds very close to the speed of light at relatively low energies, such as 5 megaelectron volts.12

Because these particles travel at a velocity nearly identical to that of the electromagnetic wave itself, they can effectively "ride the crest" of the wave as it moves through the accelerator structure. This allows the electrons to remain in a constant position relative to the wave, ensuring they continuously experience an accelerating electric field without falling out of phase. In contrast, heavier particles like protons require more complex designs, such as standing waves, because their speeds increase significantly over a longer distance before reaching a near-constant velocity.132