Generalized Synchronization of Phase Differences in Three Lasers

A linear array of three identical lasers that are coupled mutually in space is investigated theoretically by integration of the laser equations. It is shown that the generalized synchronization of phase differences in the laser fields appears with intermediate coupling when the laser intensities are totally chaotic and chaotically synchronized. Both intensities and phase differences are totally chaotic at smaller coupling constants. The lasers are also changed from coherent light to incoherent one when the couplings between lasers are decreased.