Electrostatic Potential Theory for Open Spherical Shells
Spherical geometry provides the simplest and most attractive setting for
three-dimensional potential theory. The electrostatic potential surrounding
a closed conducting sphere on which the surface potential is specied is eas-
ily calculated in terms of spherical harmonics; it has an especially simple
form if the surface is an equipotential surface. When apertures are intro-
duced, some of this simplicity is retained provided the surface is punctured
in a rotationally symmetric fashion.