To formation of the longitudinal electromagnetic wave at discrete change of a charge density for normal and inclined falling of the accelerated point charge particle

A charge-image model was applied to solve the problem concerning the space-time formation of an electromagnetic field when the boundary between the vacuum and the perfectly conducting half-space is crossed by the point charge particle with a final velocity and acceleration. The cases of normal and oblique incidence of a charge at the boundary are under consideration. In the case of oblique incidence, unlike the normal one, the magnetic dipole “annihilation” at the boundary is observed. The longitudinal electromagnetic wave is formed in the far-field region. This wave has strength component of the potential electric field being normal to the wave front.