On the analytical treatment of singular impedance integrals in electromagnetics

A method is presented for reducing the number of subsequent integrations in impedance integrals containing the dynamic Green´s function. The method works whenever a point can be found that is coplanar (or collinear) to both the basis and test support. This is always the case for singular impedance integrals. As an example, explicit formulas are given for the self-patch impedance integrals for the electric field integral equation.