As long ago as 1928, R. Wideroe demonstrated that electrons could be accelerated through a tube by applying a radio frequency voltage to separated sections of the tube so that the electrons felt an accelerating electric field when they passed the gap. If it was arranged so that the electrons arrived at the next gap at the right phase of the RF voltage, they would be accelerated again, getting double the energy they would have gotten from just the application of the maximum field of the RF.
The linear particle accelerator is an extension of Wideroe's idea to a long linear array of accelerating "cells" powered by a radio frequency source in the megawatt power range and in the gigahertz frequency range. Besides adjusting the successive cells so that each one is longer than its predecessor to account for the increasing particle speed, there are subtleties about matching the relative phase of the electromagnetic wave and the particle speed in the accelerator. Present linear accelerators attempt to optimize the acceleration by shaping the waveguide cavity of the accelerator so that the phase velocity of the electromagnetic wave matches the particle speed at the locations where acceleration occurs.
The largest linear accelerator is at the Stanford Linear Accelerator Center (SLAC). It is 3.2 kilometers long and accelerates electrons to 25 GeV. It is also used as an electron-positron collider with total energy 50 GeV per beam.
Search for elementary particles