Stability results- for in-phase and splay-phase states of solid-state laser arrays

Mary Silber, Larry Fabiny, Kurt Wiesenfeld

Research output: Contribution to journalArticlepeer-review

87 Scopus citations


We present a theoretical study of synchronization in N-element solid-state laser arrays. We carry out the linear stability analysis for three types of solution: the nonlasing state, the in-phase periodic state, and the splayphase state. Both nearest-neighbor (on a ring) coupling and global (all-to-all) coupling are treated; the system symmetries enable us to solve the linear stability problem for arbitrary N. We consider the general case in which the coupling coefficient iK is complex and find that stability depends crucially on the signof the imaginary part of K. In the case of global coupling, we discover a surprising result: the existence of an N - 2 parameter family of frequency-locked neutrally stable states. These states should display substantial phase diffusion in the presence of noise.

Original languageEnglish (US)
Pages (from-to)1121-1129
Number of pages9
JournalJournal of the Optical Society of America B: Optical Physics
Issue number6
StatePublished - Jun 1993

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Atomic and Molecular Physics, and Optics


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