Axial symmetric electromagnetic pulse excitation in a flat waveguide with a time-varying plasma

Green's function for the Maxwell's equations in a flat waveguide in which a homogeneous cold time-varying plasma is created at zero moment of time is derived. By virtue of the obtained Green's function the four-dimensional integral equation for an electromagnetic field is presented. This equation resolvent for the case of axial symmetric problems is obtained that allows to present the exact and explicit expressions for an axial symmetric distribution of an electromagnetic field.