Reflection Method in Problems of Electrostatics and Heat Conduction of a Plane-Layered Media Consisting of Three Films

A method of mirror reflections of electrostatics is presented for a point charge located near a plane-layered medium consisting of three films on a dielectric half-space. The method is generalized to the case of an arbitrary system of charges and is applied to solving mathematically similar problems of electrostatics and stationary heat conduction of plane-layered media. As an example of application of the method, the problem of finding the distribution of electrostatic potential around a conducting charged sphere is considered. Solutions to similar problems of finding the temperature distribution of uniformly heated bodies located near a heat-conducting plane-layered structure of three heat-conducting films on a heat-conducting half-space are discussed.