A quasi separable dissipative Maxwell-Bloch system for laser dynamics

2017/10/20 by Gorni, Gianluca, Residori, Stefania, Zampieri, Gaetano
#37J15 #78A60 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Optics (physics.optics)

paper · doi:10.48550/arxiv.1710.07532

Abstract

The Maxwell-Bloch dissipative equations describe laser dynamics. Under a simple condition on the parameters there exist two time dependent first integrals, that allow a nonstandard separation of variables in the equations. That condition has a precise physical meaning. The separated differential equations lead naturally to simple conjectures on the asymptotic behavior of the physical variables.

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