矩形波导中TE-10-波的特性分析-马国锋

©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.:(0324250076):(19712),,,,:100423918(2005)0520653204TE101,2(1.,476000;2.,476000):TE10,TE10TE10,,TE10:;TE10;TE;:O44:A1Fig.1Rectangularwave2guide1,z,ab(ab),x,y,1(+z),E(r,t)=E0(x,y)ejt-z(1)H(r,t)=H0(x,y)ejt-z(2)=+j(3),,,2E+k2E=0(4)2H+k2H=0(5)k2=2(6),,TE,Hz=H0cos(kxx)cos(kyy)(7)Hx=jkxkzh2H0sin(kxx)cos(kyy)(8)Hy=jkykzh2H0cos(kxx)sin(kyy)(9)Ex=jh2kyH0cos(kxx)sin(kyy)(10)Ey=-jh2kxH0sin(kxx)cos(kyy)(11)Ez=0H0kx=ma,m=0,1,2,(12)ky=nb,n=0,1,2,(13)235200510HENANSCIENCEVol.23No.5Oct.2005©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=2+k2=k2x+k2y=(ma)2+nb)2(14)kz=k2-h2=2-[(ma)2+nb)2(15)=j=jkz(7)(11)TExyz,ejt-zmn,TEm=n=0,,TEmn,,TETE01TE102(TE10)2.1TE10m=1,n=0,(7)(14),TE10Hz=H0cos(ax)(16)Hx=jkz(a)H0sin(ax)(17)Ey=-j(a)H0sin(ax)(18)Hy=Ex=Ez=0(19)kz=2-(a)2(20)(16)(18)ejt-z=ej(t-kzz),,Hz(r,t)=H0cos(ax)cos(t-kzz)(21)Hx(r,t)=-kzH0(a)sin(ax)sin(t-kzz)(22)Ey(r,t)=H0(a)sin(ax)sin(t-kzz)(23)(21)(23),,TE10z,xHzx,HxEyx,y2.22.2.1n,,=nD=nE,|y=0=ey-eyj(a)H0sin(ax)=-j(a)H0sin(ax)|y=b=-ey-eyj(a)H0sin(ax)=j(a)H0sin(ax)|x=0=|x=a=0,,,,,,2.2.2Js=nHJs|x=0=ex(exHx+ezHz)|x=0=-eyH0Js|x=a=-ex(exHx+ezHz)|x=a=-eyH0Js|y=0=ey(exHx+ezHz)|y=0=exH0cos(ax)-ezjkz(a)H0sin(ax)Js|y=b=-ey(exHx+ezHz)|y=b=-exH0cos(ax)+ezjkz(a)H0sin(ax)456235©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(14),2=h2-k2h2=k2=2,=0,c,h2=k2c=2cTE10,k2c=2c=h2=(a)2(24)c=kc=h=a(25)fc=c2=12a(26)ffc,(14),(15)(24)=h2-k2=jk2-h2=jkz=j2-2c=jk1-fcf2(27)kz=k2-h2=k1-fcf20=jkz,e-z=e-jkzz(+z)3TEFig.3Thedistributionofcut-offwavelengthoftheTEwavesseveralmodesintherectangularwave2guideffc,=h2-k2=2c-2=kfcf2-1(28)=kfcf2-1,e-z,,,,,fc=12aTE10k=2,TE10c,c=2kc=2(/a)=2a(29)TE10,c,3a2b,TE:,,2a,;a2a,TE10,;a,,a2a,,TE10vp,TE10vp==kz=v1-(fc/f)2=v1-(/c)2=v1-(/2a)2(30)vc,,,TE10556200510TE10©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.=vpf=vf1-(fc/f)2=1-(fc/f)2=1-(/c)2=1-(/2a)2(31)(30)(31):f=fc,vp,g;ffc,vpv,g,TE10,ffc,,TE10Z=-EyHx=kz=k1-(fc/f)2=11-(fc/f)2=1-(fc/f)2(32)=4,TE10:4.1TE10y,xz4.2TE10z,x,z,x4.3TE10,TE10,2,4.4,TE10a,TE10b,b,b,4.5TE10,4.62,,,,,TE10,:[1],,,.()[M].:,2002.[2],.()[M].:,1989.[3].[M].:,2003.[4].[M].:,1979.[5].[M].:,2001.AnalysisofcharacteristicsofTE10waveinrectangularwave2guideMAGuo2feng1,MARong2(1.ShangqiuRailwayCommunicationCompany,Shangqiu476000,China;2.DepartmentofPhysics,ShangqiuTeachersCollege,Shangqiu476000,China)Abstract:TheTE10waveisthedominantmodefortherectangularwave2guide.Inthispaper,thestructureofthefieldmagnitude,thedistributionofthecurrentduetochargeonthesurfaceoftherectangularwave2guideandthepropagationparametersoftheTE10wavearededuced,basedonthewaveequationandtheMaxwelle2quationoftheelectromagneticwave.Thecharacteristicsareanalyzedthoroughly.SomecharacteristicsoftheTE10wavewhenitistransmittedintherectangularwave2guideanditsapplicationsarediscussedattheendofthepaper.Keywords:rectangularwave2guide;theTE10wave;theTEwave;electromagneticwave656235