# Phase transition theory of many-mode ordering and pulse formation in lasers.

@article{Gordon2002PhaseTT, title={Phase transition theory of many-mode ordering and pulse formation in lasers.}, author={Ariel Gordon and Baruch Fischer}, journal={Physical review letters}, year={2002}, volume={89 10}, pages={ 103901 } }

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…

## 101 Citations

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