Electric Field Analysis

11

Conformal Mapping

ABSTRACT Conformal mapping is a useful technique in the area of complex analysis and has many applications in different practical configurations. There are several problems in engineering that can be expressed in terms of functions of a complex variable, which involve complicated geometries. In such cases, by choosing an appropriate mapping function, the problem having inconvenient geometry can be transformed into a problem having much more convenient geometry. Conformal mapping is a technique that allows one to take hard problems, map them onto a coordinate system, where they are convenient to solve, find the solution and then map the solution back to the original system. This chapter gives a brief discussion on conformal ...