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1、Hybridregularizationmethodfortheill-posedinversionofmultiwavelengthlidardataintheretrievalofaerosolsizedistributionsChristineBoÈckmannAspeciallydevelopedmethodisproposedtoretrievetheparticlevolumedistribution,themeanrefractiveindex,andotherimportantphysicalparameters,e.g.,theeffectivera
2、dius,volume,surfacearea,andnumberconcentrationsoftroposphericandstratosphericaerosols,fromopticaldatabyuseofmultiplewavelengths.Thisalgorithmrequiresneitheraprioriknowledgeoftheanalyticalshapeofthedistri-butionnoraninitialguessofthedistribution.Asaresult,evenbimodalandmultimodaldistribu
3、tionscanberetrievedwithoutanyadvanceknowledgeofthenumberofmodes.Thenonlinearill-posedinversionisachievedbymeansofahybridmethodcombiningregularizationbydiscretization,variablehigher-orderB-splinefunctionsandatruncatedsingular-valuedecomposition.Themethodcanbeusedtohandledifferentlidardev
4、icesthatworkwithvariousvaluesandnumbersofwavelengths.Itisshown,tomyknowledgeforthe®rsttime,thatonlyoneextinctionandthreebackscattercoef®cientsaresuf®cientforthesolution.Moreover,measurementerrorsupto20%areallowed.Thisresultcouldbeachievedbyajudiciousfusionofdifferentpropertiesofthreesui
5、tableregularizationparameters.Fi-nally,numericalresultswithanadditionalunknownrefractiveindexshowthepossibilityofsuccessfullyrecoveringbothunknownssimultaneouslyfromthelidardata:theaerosolvolumedistributionandtherefractiveindex.©2001OpticalSocietyofAmericaOCIScodes:010.0010,010.1110,100
6、.0100,100.3190,280.0280,290.0290.1.Introductionaerforthebackscatterandextinctioncoef®cientsbandaerAerosolparticlepropertiescanbederivedbymea-a:surementofavarietyofscatteringproperties.Thesepropertiesdescribetheparticle'sin¯uenceonrmaxaertheEarth'sradiationbudget,onclouds,andonpre-b~l,z!
7、5*kÃp~r,l;m!n~r,z!drcipitation,aswellastheirroleinchemicalprocessesrminofthetroposphereandthestratosphere.Thismayrmax2includeextinctionorscatteringinformationatmul-5*prQp~r,l;m!n~r,z!dr,(1)tiplewavelengths,scatteringinformationatmultiplerminangles,ormultiple-scatteringinformati
