Point Charge between Two Plane-Parallel Metal Plates

Abstract

This article is in response to a reference to my work as a work in which the expression for the density of the charge induced by the point charge between two infinite plane-parallel plates is in the form of an infinite series. Indeed, in my article there were formulas that I obtained for the Green’s function, the surface density of the induced charge on plane-parallel plates written as infinite series. However, the article was devoted to the method of conformal transformation of the initial problem to a simpler one, which makes it possible to obtain analytical expressions for the mentioned quantities. In the present article, I would like to clarify the situation and outline the advantage of the conformal transformation method taking into account the axial symmetry of the problem as compared to solving the problem in the form of infinite series.