Proposal of a general method to study wave propagation

This paper deals with the techniques to compute the wave propagation and power diffusion in a network. We propose a new approach to obtain the expression of the wave on any port of the network made of junctions. If this approach can appear a little heavy compared to the classical ones that use S parameters, it gives a powerful method to resolve the computation whatever is the complexity of the network. Based on a definition of the topology of the network with junctions and ports, we create a S matrix for the whole network and a propagation matrix G which manage the exchange of waves between the ports. Each time a product with G is applied, the waves are transmitted between the junctions through their input output ports. Once on a input port of a junction, the application of a product with the S matrix implies the transmission of the wave from this input port to an output port of the same junction. The product GS is applied as many time as it is necessary to reproduce the wave propagation in the whole network.