EFIE and MFIE for arbitrary sheets and closed form expression for the sum of fields on both sides of flat sheets

The most general vector form of the EFIE and the MFIE is given for arbitrary sheets. They are obtained through a complete and original derivation, taking into account the sharp edges that are always present in the case of sheets. These two integral formulations are then applied and particularized to dielectric and perfectly conducting sheets. It is also made clear when and how the tangential component of these formulations can or cannot be used to obtain the equivalent current densities in the framework of the Method of Moments. Finally, two closed form expressions for the sum of the fields on both sides of a flat perfectly conducting sheet are demonstrated.