Abstract
The power distribution of circulant topologies for passive fiber optic local communication networks (FOLCN) in the shot-noise limited case is analyzed. This class of topologies is chosen for its symmetries in both logical structure and power distribution, as well as for its mathematical tractability. Analysis according to a mathematical model for power distribution allows comparison of 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.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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