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 language||English (US)|
|Number of pages||9|
|Journal||Journal of the Optical Society of America B: Optical Physics|
|State||Published - Jun 1993|
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Atomic and Molecular Physics, and Optics