Abstract:

The mirror method, the electric axis method and the complex conformal mapping method are the typical methods to solve electromagnetic-field problems. The image method is used only to solve the field distribution of charges near the conductor. The electrical axis method is used merely to solve the potential function between two infinite long parallel cylindrical conductors.Therefore, the conventional electric axis method is relaced by the uniform conformal mapping method in this paper, and the issues of eccentric coaxial lines and parallel pairs of cylinders are unified. This paper also presents the complex examples of the three-wire transmission line capacitor. Therefore, the unified conformal mapping method can replace the image method and electrical axis method and simplify the solution of the electromagnetic-field problem.

Key words: unified conformal mapping, electric axis method, three-wire transmission line, capacitor