The two-dimensional magnetic or electric field above and below an infinite corrugated sheet

Abstract

The field is investigated above and below the surface of an infinite corrugated sheet. The sheet may be regarded as a magnetized ferromagnetic body, or a charged electrical conductor. The corrugations are parallel, semi-circular cylinders. The method involves the use of conformal transformations and elliptic integrals. Tables and graphs of the field strength at important points are given.