简介:Anewquantitativeconceptisintroducedinthispaper,whichmaybeusedtofacilitatethemeasurementofthecontrollabilityofasubspace~subspacecontrollabilitydegree.Thentheconcreteformofthesubspacecontrollabilitydegreeofaflexiblestructureisderived,andtheerrorsofsubspacecontrollabilitydegreeanddynamicalresponsecausedbythesubstitutionofarepeatedmodesubspaceforacloselyspacedmodesubspacearediscussed.Alltheresultsshowthatthissubstitutionisrationalundersomeconditions.
简介:Wedemonstrateanall-fiberhigh-powerYb-doped1018nmfiberlaserwithaGaussian-shapedoutputbeamprofilebasedonamismatchedstructure,whichconsistsofapairofsingle-modefiberBragggratingsandasectionoffew-modedouble-claddinggainfiber.Theoutputpowerisupto107.5Wwithanoptical-to-opticalefficiencyof63%,andthe3dBbandis0.26nmatthispowerlevel.Suchastructureofsingle-mode–few-mode–single-modefiberoscillatorcanbeusedtogeneratehigh-powernarrow-linewidthlasingwithexcellentbeamqualityinotherspectralranges.
简介:ThispaperanalyzesthecharacteristicofmatchingeffciencybetweenthefundamentalmodeoftwokindsofopticalwaveguidesanditsGaussianapproximatefield.Then,itpresentsanewmethodwherethemode-fieldhalf-widthofGaussianapproximationforthefundamentalmodeshouldbedefinedaccordingtothemaximalmatchingeffciencymethod.Therelationshipbetweenthemode-fieldhalf-widthoftheGaussianapproximatefieldobtainedfromthemaximalmatchingeffciencyandnormalizedfrequencyisstudied;furthermore,twoformulasofmode-fieldhalf-widthsasafunctionofnormalizedfrequencyareproposed.
简介:Byusingthemethodofstressfunctions,theproblemofmode-ⅡGriffithcrackindecagonalquasicrystalswassolved.First,thecrackproblemoftwo-dimensionalquasicrystalswasdecomposedintoaplanestrainstateproblemsuperposedonanti-planestateproblemandsecondly,byintroducingstressfunctions,the18basicelasticityequationsoncouplingphonon-phasonfieldofdecagonalquasicrystalswerereducedtoasinglehigherorderpartialdifferentialequations.Thesolutionofthisequationundermixedboundaryconditionsofmode-ⅡGriffithcrackwasobtainedintermsofFouriertransformanddualintegralequationsmethods.Allcomponentsofstressesanddisplacementscanbeexpressedbyelementalfunctionsandthestressintensityfactorandthestrainenergyreleaserateweredetermined.
简介:Wereportonthehigh-poweramplificationofa1064nmlinearlypolarizedlaserinanall-fiberpolarizationmaintainedmasteroscillatorpoweramplifier,whichcanoperateatanoutputpowerlevelof1.3kW.Thebeamquality(M~2)wasmeasuredtobe<1.2atfullpoweroperation.Thepolarizationextinctionrateofthefiberamplifierwasmeasuredtobeabove94%beforemodeinstabilities(MIs)setin,whichreducedtoabout90%aftertheonsetofMI.ThepowerscalingcapabilityofstrategiesforsuppressingMIisanalyzedbasedonasemianalyticalmodel,thetheoreticalresultsofwhichagreewiththeexperimentalresults.ItshowsthatmitigatingMIbycoilingthegainfiberisaneffectiveandpracticalmethodinstandarddouble-claddinglargemodeareafiber,and,bytightcoilingofthegainfibertotheradiusof5.5cm,theMIthresholdcanbeincreasedtothreetimeshigherthanthatwithoutcoilingorloosecoiling.Experimentalstudieshavebeencarriedouttoverifytheidea,whichhasprovedthatMIwassuppressedsuccessfullyintheamplifierbypropercoiling.
简介:InthispaperL^p-L^qestimatesforthesolutionu(x,t)tothefollowingperturbedhigh-erorderhyperbolicequationareconsidered,(ρπ--a△)(ρπ--b△)u+V(x)u=O,x∈R^n,n≥6,ρ1eu(x,O)=O,ρ^3eu(x,O)=f(x),(j=O,1,2).WeassumethattheotentialV(x)andtheinitialdataf(x)arecompactlysupported,andV(x)issufficientlysmall,thenthesolutionu(x,t)oftheaboveproblemsatisfiesthesameL^p-L^qestimatesasthatoftheunperturbedproblem.
简介:Thepresentworkusesdynamicmodedecomposition(DMD)toanalyzewakeflowofNACA0015airfoilwithGurneyflap.ThephysicsofDMDisfirstintroduced.ThenthePIV-measuredwakeflowvelocityfieldisdecomposedintodynamicalmodes.Thevortexsheddingpatternbehindthetrailingedgeanditshigh-orderharmonicshavebeencapturedwithabundantinformationsuchasfrequency,wavelengthandconvectionspeed.Itisobservedthathigh-orderdynamicmodesconvectfasterthanlow-ordermodes;moreoverthewavel...
简介:TheenzymatichydrolysisofmacromoleculargelatinwithAS1.398neutralprotease,bromelainandtheircombinationswasstudiedbyestimatingthemolecularweightsoftheirhydrolyticproducts.Itwasdiscoveredthattheproductshydrolyzedbyusingcombinationenzymeshadlowermolecularweightthanthoseobtainedbyusingsingleones,andthekindofenzymes,theircombinationmodeandadditionsequenceareeffectivewaystocontrolthemolecularweightsofgelatinhydrolyzates.
简介:Thepresentstudydevelopsthefracturetheoryforatwo-dimensionaloctagonalquasicrystals.TheexactanalyticsolutionofaModeⅡGriffithcrackinthematerialwasobtainedbyusingtheFouriertransformanddualintegralequationstheory,thenthedisplacementandstressfields,stressintensityfactorandstrainenergyreleaserateweredetermined,thephysicalsenseoftheresultsrelativetophasonandthedifferencebetweenmechanicalbehaviorsofthecrackproblemincrystalandquasicrystalwerefiguredout.Theseprovideimportantinformationforstudyingthedeformationandfractureofthenewsolidphase.
简介:Inthispaperresultsofpreviousresearchesoftwo-modefullenginemodelforMachnumberrangefrom3to6arepresented.Themainaimsofresearchesaretoobtaincharacteristicsoffullenginemodelanditscomponents(theinlet,thecombustionchamberandthenozzle)inramjetandscramjetregimesandtocomparethesecharacteristicswiththecalculationresultsaccordingtoCFDandtoapproximate(engineering)methods.Testswerecarriedoutwithoutfuelsupply(coldtests)andwithfulelsupply(studyofignitionandcombustion).Hydrocarbonandhydrogenfuel(gaseousorliquid)wereusedduringthetests.
简介:Inthepaper,theWKBZnormalmodeapproachhasbeenappliedtothepropagationofthepulsedenergyandwaveforminoceanchannels.Thenumericalresultsintwodifferentchannelsaregiven.ComparisonbetweentheWKBZandconventionalnormalmodecodesshowsthattheWKBZmodeapproachisafastandaccuratemethodandtherunningtimebytheWKBZapproachisreducedbyabouttwoordersofmagnitude.
简介:<正>InthispaperitisprovedthatforallcompletelydistributivelatticesL.thecategoryofL-fuzzifyingtopologicalspacescanbewmbeddedinthecategoryofL-topologicalspaces(stratifiedChang-Goguenspaces)asasimultaneouslybireflectiveandbicoreflectivefullsubcategory.
简介:WeconstructaclassofintegrablegeneralizationofTodamechanicswithlong-rangeinteractions.ThesesystemsareassociatedwiththeloopalgebrasL(Cr)andL(Dr)inthesensethattheirLaxmatricescanberealizedintermsofthec=0representationsoftheaffineLiealgebrasCr(1)andDr(1)andtheinteractionspatterninvolvedbearsthetypicalcharactersofthecorrespondingrootsystems.WepresenttheequationsofmotionandtheHamiltonianstructure.Thesegeneralizedsystemscanbeidentifiedunambiguouslybyspecifyingtheunderlyingloopalgebratogetherwithanorderedpairofintegers(n,m).Itturnsoutthatdifferentsystemsassociatedwiththesameunderlyingloopalgebrabutwithdifferentpairsofintegers(n1,m1)and(n2,m2)withn2<n1andm2<m1canberelatedbyanestedHamiltonianreductionprocedure.Forallnontrivialgeneralizations,theextracoordinatesbesidesthestandardTodavariablesarePoissonnon-commute,andwheneithernorm≥3,thePoissonstructurefortheextracoordinatevariablesbecomessomeLiealgebra(i.e.theextravariablesappearlinearlyontheright-handsideofthePoissonbrackets).Inthequantumcase,suchgeneralizationswillbecomesystemswithnoncommutativevariableswithoutspoilingtheintegrability.
简介:Weconsiderforafixedμ,theclassofpolynomialsPn,μ,s:=P(z)=zsanzn-s+n-s∑j=μan-jzn-j-s;1≤μ≤n-sofdegreen,havingallzerosin|z|≤k,k≤1,withs-foldzerosattheorigin.Inthispaper,wehaveobtainedinequalitiesinthereversedirectionfortheaboveclassofpolynomials.Besides,extensionsofsomeTuran-typeinequalitiesforthepolarderivativeofpolynomialshavebeenconsidered.
简介:AnefficientroutetoprepareL-glucoseandL-galactoseisdescribed.TheL-sugarsareachievedbyusingthestrategyofswitchingthefunctionalgroupsatC1andC5ofD-glucoseandD-mannose.TheoxidationandreductionofthesilylenoletheratC1andthelead(IV)tetraacetatemediatedoxidativedecarboxylationatC5arethekeysteps.L-GlucoseandL-galactosearepreparedinaconvenientandinexpensiveway.