Physics
MONDAY, DECEMBER 1ST
Dr.CarlosL.PandoLambruschini
InstitutoFisica,Mexico
4:00PMinTH411
Refreshmentsservedat3:50PM
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Mixed-Mode Oscillations in Q-Switched CO_2 Lasers
Abstract:
Weconsidertheoriginofmixed‐modeoscillationsandrelatedbifurcationsinsomelaser
models that describe CO_2 monomode lasers with saturable absorbers. Our study indi‐
catesthatthepresenceofisolasofperiodicmixed‐modeoscillations,asthepumpparam‐
eter and the cavity‐frequency detuning change, is inherent to Q‐switched CO_2 mono‐
modelasermodels.Wecomparethesemodels (dualfour‐levelmodel,3:2model,and a
CO_2lasermodelforfastsaturableabsorbers)and indsimilaritiesaswellasqualitative
differences,suchasthedifferentnatureofthehomoclinictangencytoarelevantunstable
periodic orbit, where the Gavrilov‐Shilnikov theory and its extensions may hold [1,2,3].
Themodelsalsoshowthatwhentwolasersaremutuallycoupledviasaturableabsorb‐
ers, the behavior is reminiscent of half center oscillators in neurodynamics, displaying
stabilityintervalsforin‐phase,anti‐phaseandintermediatephasesolutions.