A Theoretical Study of DEF-L S-LAN

This paper gives our theory of an erbium-doped fiber laser (EDF-L) synchronization local area network (S-LAN) composed of a DFE-L star as a synchronization driver and two types of DEF-L nodes forming two synchronization cluster groups in two links, where the star has a three-ring DEF-L and the nodes have two kinds of two-ring DEF-Ls. The star and nodes of S-LAN are connected to practice S-LAN and obtain network synchronization. The laser physics network model and its mathematics equation sets are presented via two set of EDF-L physics equations, where a set of equations are used to indicate a full synchronization link, another set of equations are used to indicate a delayed synchronization link. Then, synchronization theories of network and its cluster are proved via the first approximation synchronization equation sets while the network illustrates in theory some optics characteristics of star network, parallel network, and multi-node network. Our theory demonstrates that two rings of the three-ring DEF-L can obtain their synchronization with two rings of EDF-Ls in two links via the eigenvalue equation sets, respectively; this theory points out that there are synchronization EDF-L clusters, star-parallel synchronizations including laser rings of the star synchronizing with laser rings of the nodes, and parallel synchronizations in two links. Our EDF-L S-LAN theory has the potential value in the study of EDF-L technology, synchronization control, and network.