Proposal of a mathematical formalism for EMC, based on tensor analysis of networks

Starting from a general lagrangian approach, we introduce the fundamental concept of duality and tensorial description. Then we apply these notions to electromagnetic situations, including near and far field, and guided waves. Step by step, these considerations lead us to a generic description of any EMC problem through graphs and a system of equations. The couple: graphs plus equations, can be seen as a manifold. The EMC work is then seen as a control of a collection of manifolds, topologically sewed for making a system. Some undesired interactions appearing in this construction must be  reduced, or avoided through warning techniques in the sewing. A simple example will be presented to illustrate all the concepts evocated.