The electromagnetic and termomechanical effect of electron beam on the solid barrier

The mathematical model of thermomechanical effects which accompanies electron scattering in barrier is carried out. Model has taken into account bulk charge and electromagnetic field generation by beam’s electrons in barrier. Maxwell equations with convective current and Euler equations with Lorentz force and Joule heating are considered. The expressions for Lorentz force density, acting on ionized substance, and its Joule heating in the electromagnetic field are constructed. Conservative finite difference analogues of values, which provide the interaction of electromagnetic field with ionized substance are carried out.