简介:1.IntroductionThroughoutthispaperweshallusethefollowingnotation.RmxnandCoxsdenotethesetsofrealandcomplexmxnmatrices,respectively,R'andC'denotethesetsofrealandcomplexn-dimentionalcolumnvectors,respectively.ThesuperscriptHmeanstheconjugatetransposeofma...
简介:Someofthemathematicalpropertiesoftheinterfacebetweentwoincompressibleinviscidandimmisciblefluidswithdifferentdensitiesundertheinfluenceofaconstantgravityfieldgareinvestigated.ThepurposeofthispaperistoprovethatlinearlyunstablemodesforRayleigh-Taylorinstabilitiesgivebirthtononlinearinstabilitiesforthefullnonlinearsystem.Themainingredientisageneralinstabilitytheoreminananalyticframeworkwhichenablesustogofromlineartononlinearinstabilities.
简介:Inordertobetterassesstheperformanceofwirelesscommunicationsystems,itisdesirabletoproducemultipleRayleighfadingenvelopeswithspecifiedcorrelations.Inthispaper,weanalyzetheoreticallyaprocedurewhichgeneratescorrelatedGaussianrandomvariablesfromindependentGaussianrandomvariablesandgiveaphysicalexplanationforthelimitationofthisprocedure.Then,basedonsomeuncorrelatedRayleighfadingenvelopes,asimplebutefficientprocedureforgeneratinganarbitrarynumberofcross-correlatedRayleighfadingenvelopesisproposed.Simulationresultsandcomputationalcomplexityanalysisarepresented,whichshowthattheproposedmethodhassomeadvantages,suchashighaccuracy,lowcomputationalcomplexityandeasyimplementation,overtheconventionalsimulationmethod.
简介:Inthispaper,weinvestigatetheRayleigh-Taylorinstabilityproblemfortwocompressible,immiscible,inviscidflowsrotatingwithaconstantangularvelocity,andevolvingwithafreeinterfaceinthepresenceofauniformgravitationalfield.FirstweconstructtheRayleigh-Taylorsteady-statesolutionswithadenserfluidlyingabovethefreeinterfacewiththesecondfluid,thenweturntoananalysisoftheequationsobtainedfromlinearizationaroundsuchasteadystate.Inthepresenceofuniformrotation,thereisnonaturalvariationalframeworkforconstructinggrowingmodesolutionstothelinearizedproblem.Usingthegeneralmethodofstudyingafamilyofmodifiedvariationalproblemsintroducedin[1],weconstructnormalmodesolutionsthatgrowexponentiallyintimewithratelikeet■whereξisthespatialfrequencyofthenormalmodeandtheconstantcdependsonsomephysicalparametersofthetwolayerfluids.AFouriersynthesisofthesenormalmodesolutionsallowsustoconstructsolutionsthatgrowarbitrarilyquicklyintheSobolevspaceH~k,andleadstoanill-posednessresultforthelinearizedproblem.Moreover,fromtheanalysisweseethatrotationdiminishesthegrowthofinstability.Usingthepathologicalsolutions,wethendemonstratetheill-posednessfortheoriginalnon-linearprobleminsomesense.
简介:近似却分析的答案粘滞Rayleigh-Taylor不稳定性(RTI)最近广泛地由于它的清澈在理论、数字的调查被使用了。在这份报纸,生长率为的一个修改分析答案粘滞不可压缩的液体的RTI基于一个近似方法被获得。它的精确性数字地被验证显著地为不同粘性比率和Atwood数字在整个波浪数字范围与以前的那比较被改善。而且,这个答案被扩展为粘滞包括集中散开效果的RTI。
简介:ThemodelingmethodologiesandcalculationofdynamicresponseofundergroundstructureunderRayleighwavesisinvestigatedinthispaper.FirstthefreefieldresponsesunderRayleighwavesareanalyzedandthenumericalresultsagreewellwiththetheoreticalresults.Then,theapproximateRayleighwavesareputforwardbasedonthepreliminaryre-search,andRayleighwavefieldisobtainedthroughfastFouriertransformtechnique.Takingautilitytunnelasanexample,itsdynamicresponsesunderRayleighwavesiscalculatedbyABAQUS.Theresultsdemonstratethatbendingdeformationisthemaincomponentofstructuraldeformationandthedeformationatthetopofthestructureisabouttwiceasmuchasthatatbottomofthestructure.Theeffectofsoil-structureinterfaceandtheburieddepthofundergroundstructurearealsoinvesti-gatedviaparameteranalysis.Fortheshallowburiedundergroundstructures,Rayleighwavescanbethekeyfactortocontroltheresponsesanddamageofthestructure.
简介:以便理解材料的粘弹性,这研究被进行了理论上学习粘弹性的瑞利波浪的繁殖特征。一个模型在粘弹性的中等表面上为超声的搏动的激光产生被介绍。指了凯尔文模型,频率方程和粘弹性的瑞利的正常排水量波浪被导出,分散和变细上的粘弹性的模量的影响被讨论。从理论计算,瑞利波浪的变细上的粘弹性的效果在它的分散上多于那,这被显示出。在弱粘性的情况中,粘弹性的瑞利波浪的变细与粘性模量直接成正比;效果砍变细上的粘性是多于体积粘性的大部分。粘弹性的瑞利波浪的短暂反应也用Laplace和Hankel倒置变换被模仿,它在对理论上的预言的好同意被显示出。模型为媒介的粘弹性的参数的决心提供一个有用工具。
简介:二维的热机械的数字模型显示出高密度的岩石圈的重力的移动可以生产的那Rayleigh-Taylor-type(RT)重要表面变丑(垂直偏转>1000m)在一个大陆人盘子的内部。外壳的力量和厚度的一个合理范围,与一个厚外壳从一个稳定的大陆人内部代表一个变化到热orogen,被检验响应RT不稳定性学习外壳的变丑和表面偏转。一般来说,表面偏转的三种类型在RT期间被观察滴下事件:(1)沉淀和否定地形学;(2)高举并且积极地形学;(3)沉淀列在后面由高举并且转换地形学。决定表面表示的一个关键因素是外壳的厚度。有一个薄外壳的模型主要显示出沉淀并且开发盆。在厚外壳模型,表面表达式是更可变的,取决于高密度的异例的外壳的力量和深度。与弱外壳和一个深高密度的异例,RT滴下是从overlying外壳的decoupled,并且表面展览高举或很少偏转,RT滴下导致收缩并且overlying外壳变厚。与一个强壮的外壳和浅异例,相反,表面更强烈被结合drip并且经历沉淀,列在后面由高举。
简介:Opticaltrappingtechniquesholdgreatinterestfortheiradvantagesthatenabledirecthandlingofnanoparticles.Inthiswork,westudytheopticaltrappingeffectsofadiffraction-limitedfocalfieldpossessinganarbitraryphotonicspinandproposeaconvenientmethodtomanipulatethemovementbehaviorofthetrappednanoparticles.Inordertoachievecontrollablespinaxisorientationandellipticityofthetightlyfocusedbeaminthreedimensions,anefficientmethodtoanalyticallycalculateandexperimentallygeneratecomplexopticalfieldsatthepupilplaneofahighnumericalaperturelensisdeveloped.BynumericallycalculatingtheopticalforcesandtorquesofRayleighparticleswithspherical/ellipsoidalshape,wedemonstratethattheinteractionsbetweenthetunablephotonicspinandnanoparticlesleadtonotonly3Dtrappingbutalsoprecisecontrolofthenanoparticles’movementsintermsofstableorientation,rotationalorientation,androtationfrequency.Thisversatiletrappingmethodmayopenupnewavenuesforopticaltrappingandtheirapplicationsinvariousscientificfields.
简介:Thesonarsystemswhichworkinshallowwaterenvironmentsuffergreatlyfrominfluencesofoceanicnoises,acousticpropagationseesawandmultipath.Withshallowwaterenvironmentandhigherrange-bearingresolutionofsonarsystems,therearenotenoughindependentscattererswithinaresolutioncellforthecentrallimittheoremtohold.Thereverberationenvelopeprobabilitydensityfunction(pdf)divergesfromRayleighpdf.Thenon-Rayleighpdfwithheaviertailsiscomplicated,anditisdifficulttoestimatethefunctionparametersaccuratelyinrealtime.WithCFAR(ConstantFalseAlarmRate)processingofthereverberationenvelopedata,whichattenuatestheheaviertailsdatavaluestotheestimatedbackgroundpowervalues,thedatareverberationistransformedfromnon-RayleighdistributiontoapproximatelyRayleighdistribution.Sinceitgetsridoftheinterferenceswhichaffecttheestimationofbackgroundpower,thedetectorcanestimatetheoceanicbackgroundpowerlevelmoreaccurately.Withtherationalestimationofbackgroundpowerlevel,theCFARdetectioncapabilityisbetterandrobust.Withprocessingofhighresolutionsonardata,itisshownthattheproposedalgorithmisefficient.
简介:ThisstudyconcernscalculationofphasedarraybeamfieldsofthenonlinearRayleighsurfacewavesbasedontheintegralsolutionsforanonparaxialwaveequation.SincetheparabolicapproximationmodelfordescribingthenonlinearRayleighwaveshascertainlimitationsinmodelingthesoundbeamfieldsofphasedarrays,amoregeneralmodelequationandintegralformsofquasilinearsolutionsareintroduced.SomefeaturesofsteeredandfocusedbeamGeldsradiatedfromalinearphasedarrayofthesecondharmonicRayleighwavearepresented.
简介:InaCDMAcommunicationnetworkusingconventionalsignaldetection,systemcapacityislimitedanditsperformanceisdegradedbythemulti-accessinterference(MAI).Multiuserdetection,whichmakesuseofcross-correlationinformationbetweenspreadspectrumcodes,canreduceoreliminatetheMAIinaGaussianchannelsoastomitigatethenear-fareffectsandincreasethesystemcapacity.ThispaperextendsthemultiuserdetectortoaflatRayleighfadingCDMAenvironment,anddiscussesthebiterrorrateoftypicalmultiuserdetectionalgorithmsinsuchaenvironmentbycombiningtheoreticalanalysisandcomputersimulation.ItisshownthatmultiuserdetectionissuperiortoconventionaldetectionsintheflatRayleighfadingchannels.
简介:Basedonthetheoryofmulticarrier(MC)techniqueandtheRakereceiver,amulticarrierDSCDMARakesystemisproposed,whereadatasequencemultipliedbyaspreadingsequencemodulatesmultiplecarriers.ThereceiverprovidesaRakeforeachsubcarrier,andtheoutputsoftheRakesarecombinedbyamaximal-ratiocombiner.Theaverageprobabilityoferrorofthesystemisderivedfromanuncorrelatedsubcarrierandfrequency-selectivefadingchannelmodel.ThesystemperformancesareevaluatedoverRayleighfadingchannelwithanexponentialmultipathintensityprofile(MIP)andwitharectangularMIP,respectively,whenmultipathinterferenceispresent.ItisfoundthatthiskindofmodelhaslargersuperiorityinanexponentialMIPthaninarectangularMIP.