经典光学 - 量子物理类比CLASSICAL OPTICS – QUANTUM PHYSICS ANALOGIES

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1、CLASSICALOPTICS–QUANTUMPHYSICSANALOGIESDanielaDragomanUniv.BucharestClassicaloptics-ballisticelectronsanalogiesClassical-quantumopticsClassicaloptics-electronsanalogieselectronsphotonswavefunctionscalarvectorenergydistributionfermionsbosonschargee0spin1/21effectivemassm0dispersionparabolic

2、linearexclusionprincipleyesnoHelmholtzElectronmicroscope,1933Z.Phys.87,580(1934)ElectronopticsErnstRuska,NobelPrize1986YAMaxwellSchrödingerY.Ito,A.L.Bleloch,L.M.Brown,Nature394,49(1998)f=0.25mmf=1mmFresnelelectronlensesClassicaloptics-electronsanalogiesElectronholographyOtheranalogies:D.Dr

3、agoman,M.Dragoman,Quantum-ClassicalAnalogies,Springer(2004)PhotoniccrystalsS.Matthias,F.Müller,U.Gösele,J.Appl.Phys.98,023524(2005)txTalboteffectM.Berry,I.Marzoli,W.Schleich,PhysicsWorld,June2001W.D.Rauetal.,Phys.Rev.Lett.82,2614(1999)A.C.Twitchettetal.,Phys.Rev.Lett.88,238302(2002)Ballist

4、icelectronsvisiblelightSchrödingerDiracK.S.Novoselovetal.,Science306,666(2004)mesoscopicstructuresClassicaloptics-SchrödingerelectronsanalogiesHelmholtzSchrödingerYAJ.H.Smetetal.,Phys.Rev.Lett.77,2272(1996)magneticlensJ.Spectoretal.,Appl.Phys.Lett.56,1290(1990)electrostaticlensJ.Spectoreta

5、l.,Appl.Phys.Lett.56,2433(1990)electronprismY.Jietal.,Nature422,415(2003)electronMach-ZehnderGRINwaveguide/FRFTD.Dragoman,M.Dragoman,J.Appl.Phys.94,4131(2003)Classicaloptics-SchrödingerelectronsanalogiesquantumTE:ycomponentofETM:ycomponentofHYA(e/m)1/2A2(E‒V)/ħwwmme1/[2(E‒V)]emquantumTEMYE

6、gkg/mk/mvgvgoAYboundaryconditionsquantum:Y,TE:A,TM:,groupvelocitieswavefunctionsquantum:TE:TM:D.Dragoman,M.Dragoman,Prog.QuantumElectron.23,131(1999)inaddition:conditionofsamephaseacrossonelayermatrixmethodsamefield,sameT,sametClassicaloptics-quantumwellanalogyTMexcitationnormallyincidente

7、lectronsGaAs/AlAsLb=25Å,Lw=45Å,mw=0.067m0,mb=0.15m0,Vb=1eV,Vw=0nb=1,nw=1.5l0=2pc/w0=1mmLbo=0.44mmLwo=0.16mmD.Dragoman,M.Dragoman,Opt.Commun.133,129(1997)Classicaloptics-SchrödingerelectronsanalogiesClassicaloptics-quantumwireanalogyGaAs/AlAsL=100Å,Lw=Lb=100Ån