磁光.涡流成象技术中的法拉第磁光效应的研究

P,,(,330034):,P,:;;:TG115.28+4:A:100026656(2001)1020415206RESEARCHONTHEFARADAYMAGNETO2OPTICEFFECTUSEDINMAGNETO2OPTICPEDDYCURRENTIMAGINGTECHNOLOGYWUGuan2hua,RENJi2lin,WUYan(NanchangInstituteofAeronauticalTechnology,Nanchang330034,China)Abstract:Naturalopticalrotationphenomenonwasexplainedbymathematical2physicalmethod.Onthebasisofquantummechanics,crystallographyandclassicalelectro2magneticfieldtheory,theFaradaymagneto2opticeffectusedinmagneto2opticPed2dycurrentimagingtechnologywasinvestigatedindetail.Asaresult,somevaluableconclusionswereobtained.Keywords:Magneto2opticeffect;Magneticmedium;Mathematical2physicalanalysisP,,,,,,11.11,,,l:2001202228:(99G5604)1=l(1)zE=Acossineikz(2)Ax=z(3)(3)(2),,5142310200110NDTVol.23No.10Oct.2001©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.E=A2eiz+e-iz-i(eiz-e-iz)eikz=A21-ieicn+z+A21ieicn-z(4)ccn+=k+cn-=k-(5),,n-n+,0,n-n+;,,[1](5)(n+-n-)=12(n+-n-)c(6)1.2,,,E[2],DE,D=E+,5E5x(7),,,K=k0nsk0k0=cns5E5xy=jk0Es(8)(7)D=E+jk0,sE(9)=+jk0s(10)D=E(11)k0s,g,k0s=eg(12)ek0012s13s21s023s31s32s0=0g3-g2-g30g1g2-g10(13),gs,g,g=gs(14)(12),(9),D=E+j,,egsE(15)[3],egE=(Eg)(16)(15),D=E+j(Eg)(17),g0[2],,,,,,=+j(18),,G,=eG(19),EDE=(+jeG)D=D+j(DG)(20)G,[3],123,614:P©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.3s,(11),1112+jG321-jG322D1D2=1n2D1D2(21),1n2=121n2x-1n2y1n2x-1n2y2+4G2z(22)[3]^J=121n2x-1n2y1n2x-1n2y2+4G2z-jGz(23)^J+^J3-=0(24)3,(D)e=-2Gz1n2x-1n2y1n2x-1n2y2+4G2z=tg(25)nx=ny,,nx=ny=n0,^J=1-j(26),=ºP4,1n2=1n20Gz(27)n=n0ºn302Gz(28),d,=1220nd=0n30Gzd(29)=n202Gz,nR=n-=n0(1+)nL=n+=n0(1-)(30)(),,=0(nR-nL)=0n30Gz=20n0(31)Gzn0,22.1,,,PP=E-dHdt(32),DD=0E+P=E-dHdt(33)dHdt=-cH[1],nck0E=H[1](33)D=E+i0GE=E+i0~GE=E(34)G=cnk0cnk0,,Gk0~GE=GE,GE~GE2.2HG,GH,G=H(35),,HHs,Gk0GsGs=Hs(36)714:P©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.=Gsn=Hsn(37)(1),=Hsnl(38)2.3()H,(H)=(-H)(39),,=+j(40),,(H)=(H)=(-H)(41)(H)=-(H)=-(-H)(42),E=D(43),=+j(44),G[3],(43)E=D+j(DG)(45),,,,e(tg)H,,,,,,,[4]n=…nº…n32Gz(46)…n,n0GzGz,GzH,Gz=fH(47)f,zd,,=1220nd=0…n3fHd(48)2.4P,,,2,x,x,y,zex,ey,ezE1[5]E1=E0exp(i0t)ex(49)02,E1=E02exp(i0t)(ex-iey)+E02exp(i0t)(ex+iey)(50),12,E2E2=E02{exp[i(0t+1)](ex-iey)+exp[i(0t+2)](ex+iey)}(51),1=1+i12=2+i2(52)1,21,2814:P©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.=+i=(1-2)P2,=1-22=1-22(53)I2=E32E2=T0E20cosh2(54)T0T0=e-2=(1+2)P2Tc=T0cosh2(55)x,t,T=t2,p=cosex+siney,E=tE2p,I=E3E=TT0E20[cosh2+cos(2-2)](56)TTT,(+P2),I=TT0E20[cosh2-cos(2-2)](57)I3(,)=I+I=T0E20[(T+T)cosh2+(T-T)cos(2-2)](58),()=0()sint=[0()+i0()]sint(59)0,=P4,(58)(59)0()=12sin-1I34,0()-I34,-0()I3(0,0)-I32,0(60)(54)(59)0()=12cosh-1I2maxI2min(61)I2min=T0E20I2max=T0E20cosh[20()]=I34,0()-I34,-0()I34,0()+I34,-0()=T-Tsin[20()]T+Tcosh[20()](62)00,0,0,i,=+i=(i+ii)(63)Condon2Shortleyii=Ai+BiHe+CiMi+i(Di+EiHe+FiMi)(64)Ai,Bi,,Fi0Mii,i=(Ai+BiHe+CiMi)1-i0(65),MiHeBiHenCiMi,BiHeAi,(63)(65)s=si=1-i0CiMi(66),s=CiMis=-0CiMi(67)n0,sinsi,,MiHei[6],,(65)i=[Ai+BiHe+CiMiexp(-ii)]1-i0(68)914:P©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.BiHeAi,0=i=1-i0CiMiexp(-ii)(69)(66),[5]0=exp(i)s(70)exp(i)=CiMiexp(-ii)CiMi(71)(67)0=cos-0sins0=cos+0sins(72),0,0n0,0,03,,,,,;(),();,,;,,,,,,:[1],.[M].:,1993.[2].[M].:,1998.[3],.[M].:,1991.[4],.[J].,1985,19(3).[5],,.[J].,1995,15(6).[6],.[M].:,1987.200181824,,PAC4832,481271,,,,,,,,,,,()024:P©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.