IMAGE SOLUTION FOR POISSON EQUATION IN WEDGE GEOMETRY

In the present paper Poisson's equation for a dielectric wedge is solv ed by deriving a static image that corresponds to the potential contri bution of the wedge. The problem is studied mainly in three dimensions but the solution for the analog two-dimensional problem is also provi ded. It appears that the use of image sources provides numerically a s imple and efficient method to compute the potential inside and outside the wedge. Image sources for the exterior and interior regions consis t of a line charge that decays exponentially as a function of complex angle and a set of point charges that can be interpreted as reflection or transmission images of a dielectric plane. All known closed-form s olutions in terms of elementary functions are derived for an electrica lly and magnetically conducting half plane.