Robust topologies for optimal power distribution in passive, fiber optic local communication networks

A mathematical model for power distribution that allows computation of the minimum power delivered between any transmitter-receiver pair is described for five robust topologies. A description of the network components is given. The mathematical model is analyzed in order to determine general desirable and undesirable characteristics for the topologies. Samples of both qualitative and quantitative results of this model are given. The results show that of the robust topologies studied, the fully connected mesh, with the appropriate number of nodes, provides the best power distribution and therefore supports the most users. Mathematical analysis proves that within the class of topologies described by circulant, symmetric matrices, the fully connected mesh performs best