A methodforestimatingthetemperatureinhighenergydensityfreeelectron laser experiments
Abstract
International audiencePresentandforthcomingfreeelectronlaser(FEL)largescalefacilitiesdeliverhighfluenceultrafastsoft and hardX-raypulsesabletocreateandprobewarmdensematter(WDM).Properdiagnosticforbasic physicalquantities,liketemperatureanddensity,isnecessary,buttheshortlifetimeoftheWDMstate (few ps)makestheirmeasurementsachallengingtask.Inthisworkweproposeamethodtoestimate the WDMtemperatureusingtheexperimentalinformationfromaslowtemperaturepyrometricprobe exploitingthepropertiesoftheheatdiffusionequation.Numericalsimulationsshowthatfortypical thin foilsamples,atemperaturemeasurementwith1210 ms temporalresolutionatthedistanceof about3002500 mm fromthebeamcentercontainssufficientinformationtoretrievetheinitialspatial temperaturedistributionwithsufficientaccuracyprovidinginformationonthetemperaturereachedin the WDMregime.TheinversionoftheexperimentalinformationisobtainedbymeansofaBayesian approachexploitingaMetropolisMonteCarlonumericalprocedure.Themodelandcalculations presentedinthisworkprovidethetheoreticalbackgroundforthedevelopmentofadevicefor temperaturediagnosticsoftheTIMEXend-stationattheFermi@ElettraFELfacilitySimilar works
This paper was published in Hal-Diderot.
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