Radiation effects in the electron sheet model

A generalized model of planar charged sheets, whose motion is described by three velocities and one coordinate, is proposed for solving self-consisten t nonlinear problems of interaction between the electromagnetic field and t he classical electron medium. For this model, exact relativistic equations for the sheet motion that take into account the radiation friction force ar e derived. New analytical results that take into account the sheet interact ion with its self-radiation field are obtained in the problem of the dynami cs of a charged sheet in the field of a plane electromagnetic wave and in o ther problems concerning the interaction of radiation with classical charge d media.