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1、AMultilevelSamplingMethodforDetectingSourceinaStratifiedOceanWaveguideKejiLiu∗YongzhiXu†JunZou‡Abstract.Inthereconstructionprocessofsoundwaveina3Dstratifiedwaveguide,thekeytechniqueistoeffectivelyreducethecomputationaldemand.Otherwise,thereconstructionprocesswouldbringin
2、hugecomputationalburden.Inthiswork,weproposeanefficientandsimplemultilevelreconstructionmethodtohelplocateanaccuratesituationofpointsourceinastratifiedocean.Theproposedmethodcanbeviewedasadirectsamplingmethodsincenomatrixinversionorsolutionsoflinearsystemsinvolved.Thenov
3、elmethodexhibitsseveralstrengths:fastconvergence,robustnessagainstnoise,advantagesincomputationalcomplexityandrequiringquitefewreceivers.Keywords.Stratifiedocean,acousticpointsource,directsamplingmethod.MSCclassifications.35R30,41A27,76Q05.1IntroductionInthispaperwedeve
4、lopaneffectivenumericalmethodforlocatingunderwatersoundsourceinastratifiedoceanenvironment,aninverseproblemforunderwatersound.Theproblemofsoundpropaga-tionintheoceanenvironmenthasgreatimportance.Therehavebeenalargenumberofexperimentsthathavedealtwithquitelongrangesoundp
5、ropagationintheocean.Alotofcomputationalandnumericaltechniqueshavebeencreatedtosolverange-dependentpropagationandscatteringproblemsintheoceanenvironment[19,20,28].Thetheoreticalestablishmentofwavepropagationinunderwaterenvironmentcanbefoundin[1,6,11,12,13,15,18,21,22,
6、32].Underwatersoundpropagationhasbeenstudiedbasedonthephysicalprinciplesoftheacoustics.Asasimplebutreasonablyrealisticmodelforstudyingtheeffectoftheunderwatersoundwavepropagationweshallconsiderstratifiedmedia[1,6].Tosimplifytheconfiguration,whilstretainingthephysicalfeat
7、uresofinterest,wemodeltheproblemasahorizontallystratifiedwaveguide.Thesoundspeedcissupposedtodependessentiallyondepth.Atypicalsoundvelocityprofiles(SVP)areshowninFigure1[26].TheSVPareconsistedofthesurfacechannel,thermoclineandisothermal.Fromliteratures,thesurfacechannel
8、ismainlyformedsinceashallowisothermallayerappearinginwinter,butcanbecausedbyaninputoffreshwaterclosetoriverestuaries,orbywat
