Power distribution in robust, passive, fiber optic local communications networks with circulant topologies

Robust, passive, fiber optic local communications networks have multiple paths, so that loss of a link will not preclude communications between any pairs of users. In order for such networks to support a reasonable number (10-10⁴) of users, power must be distributed as evenly as possible, with as little loss as possible. Analysis according to a mathematical model for power distribution allows comparison or various circulant topologies, where circulance refers to a particular topological symmetry, and demonstrates that a high degree of connectivity aids even distribution of power. Appropriate topological design yields a network that can support thousands of users within a 50 dB loss budget, when low loss components are used