title: Phase transition theory of many-mode ordering and pulse formation in lasers.
abstract: A novel theory for the ordering of many interacting modes in lasers is presented. By exactly solving a Fokker-Planck equation for the distribution of waveforms in the laser in steady state, equivalence of the system to a canonical ensemble is established, where the role of temperature is taken by amplifier noise. Passive mode locking is obtained as a phase transition of the first kind and threshold is calculated, employing mean field theory backed up by a numerical study. For zero noise, compliance with the existing noiseless theory is shown.
authors.affiliation: Electrical Engineering Department, Technion, Haifa 32000, Israel.
authors.forename: Ariel
authors.initials: A
authors.lastname: Gordon
authors.forename: Baruch
authors.initials: B
authors.lastname: Fischer