Charged Particle Interaction with a Chirped

It is found that a charged particle can get a net energy gain from the interaction with an chir@. pulse. Theoretically, the energy gain increases with the pulse amplitude and with the relative frequency variation in the pulse. which is equal to the wake phase velocity, changes. This can take place. for example, in a non-uniform plasma. Below we consider the interaction of a charged particle (here-an electron) with a one-dimensional chirped EM pulse. This approach is valid when the particle remains close enough to the pulse axis, so that we can neglect the change of the EM field in the transverse direction.