Undergrad Acceleration of a Particle Because of a Wave

[AndresPB]

Hello all, I would like to know why an electron is accelerated in a linear accelerator because of the microwaves emitted by a magnetron?. Can someone tell me what are the relevant physics equations and what is the role of skin-effect here?
Thanks a lot.

 

[mfb]

Electromagnetic waves are waves of electromagnetic fields. Electromagnetic fields lead to a force acting on a particle. If the timing is right, this force points in flight direction.
This has nothing to do with the skin effect.

 

[vanhees71]

... and as you wanted a formula:
$$\vec{F}=q \left (\vec{E}+\frac{\vec{v}}{c} \times \vec{B} \right),$$
which is the force on a charged particle with charge $q$ in an electromagnetic field $(\vec{E},\vec{B})$.