An Electric field based low frequency stable integral equation method for multiply connected perfect conductors

We present a new method to solve the Electric field scattered by a perfect electric conductor that is stable in low frequency and multiply connected geometries. The method is closely related to a previous method published by the authors and named Decoupled Potential Integral Equation, but it only requires the incoming electric field instead of the vector and scalar incoming potentials. The method is based on a second kind integral equation, therefore is stable to high density mesh breakdown. The resulting integral equation can be discretized accurately using a non-conformal mesh. The drawback of the method is that it does not provide a stable estimation of the magnetic near field and the induced current on the scatterer. Yet it can be used to compute accurately the RCS of a conducting object.