Solution of the characteristic impedance of an arbitrarily shaped TEM transmission line using complex variable boundary element method (CVBEM)

The complex boundary element equation for the solution of the characteristic impedance of an arbitrarily shaped TEM transmission line, based on the Cauchy integral theorem for analytical complex variable functions is derived. By using the CVBEM a great reduction in the computational time can be achieved by omitting the numerical quadrature, which is otherwise necessary in real variable boundary element equations. Equations for the constant element method, the linear element method and some numerical results that relate to several typical transmission lines are presented.<>