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246200912CHINESEJOURNALOFRADIOSCIENCEVol.24,No.6December,2009100520388(2009)06211042051,212(1.,710071;2.,471023),,,,,;;O451;TN011AImpedancematchingconditionofelectromagneticabsorbingmaterialDINGShi2jing1,2GEDe2biao1HUANGLiu2hong2(1.SchoolofScience,XidianUniv.,XianShaanxi710071,China;2.TheThirdEngneerScientificResearchInstitueoftheGeneralStaff,LuoyangHenan471023,China)AbstractImpedancematchinglawisakeyprobleminthedevelopmentofelectro2magneticabsorbingmaterial.Baseoninteractionbetweenelectromagneticwaveandmaterial,theimpedanceformulaisobtainedwhenelectromagneticwavetransmitthroughthematerial.Itfollowsthatanimpedancematchingconditionwithoutsur2facereflectionwhenincidentelectromagneticwaveisgiven.Andfurthermore,thecorrectnessandapplicabilityarevalidatedbyelectromagneticnumericcalculus.Thismatchingconditionhasspecificphysicsignificance,andtheformulaissimple,transparentandadvantageoustodevelophighefficientelectromagneticabsorbingmaterial.KeyWordsmatchingcondition;absorbingmaterial;impedance,[15]:,,,,,,,,,,,,,,[47],,,,,,,:2009201205:E2mail:dsj_1027@sohu1com,,,,,,,,,[817],,,,,:;,,,,,,1,,,,,,=-j=-j(1),,,we=Re12EJ3=Re-12j3E3E=Re-12j(+j)E2=Re12E2-j12E2=12E2(2)E,,,wm=Re12B55tH3=Re12jHH3=Rej12(-j)HH3=Re12H2-j12H2=12H2(3)H,,,,,,,,,,,,,,,,,,,,,,,,2211,,,E,50116:5Hz5y=Ex+55tEx-5Hz5x=Ey+55tEy5Ex5y-5Ey5x=Hz+55tHz(4)Ex=-E0sinej(t-x-y)Ey=E0cosej(t-x-y)Hz=H0ej(t-x-y)(5)E0H0y,(5)(4)jH0=(+j)E0sinjH0=(+j)E0cosjE0cos+jE0sin=(+j)H0(6)(6)=cossin(7)(6)H0=j(sin+cos)+jE0(8)(8)(6)jj(sin+cos)+j=(+j)sin(9)sin+cos1-j=1-jsin(10)(7)(10)=1-j1-j1-jsin(11)=1-j1-j1-jcos(12),,Z=E0H0=j(+j)sin=sin1-j1(1-j)sin1-j1-j=1-j1-j(13),,(13)212(13)(13),=(14)(13)Z=(15),,,=n0,=n0(n),=0,=0,n=1,,,;,=n0,=n0,(14)(15),,(14),,,,(14);,,(14),,,,,,,,,,,,213(14),(2)(3),601124,,tan=tan=(16)(14)1(26),d=013m,11,1,,1,3,,,,,,;,,[17]/=/=M,,(2)(3),M,M,M1[17]:,M1,,0;M1,,M1,;M=1,,,M1,,,,M=1,,,(110mm),,,M1;,M1[14,17],,,,|M-1|0,,,,,[1]MUSALHMJr,SMITHDC.Universaldesignchartforspecularabsorbers[J].IEETransactionsonMag2netics,1990,26(5):146221464.[2],,,.[J].(),1997,17(3):19217.CAOXu,YUANJie,CAOYuqian,etal.Deductionofelectromagneticparametermatchingformulaonab2sorbingmaterialofsinglecoatinglayer[J].QiqihaerShifanXueyuanXuebao,1997,17(3):19217.(inChinese)[3],,.[J].,1999,12(2):1502152+180.[4],,,.[J].,1995,7(2):1472153.ZHUZhenghe,ZENGRong,ZHANGMingrong,etal.Thereferencerulesofstudyingoncarboncluster2likemicrowavestealthmaterials[J].ChemicalRe270116:searchAndApplication,1995,7(2):1472153.(inChinese)[5],.[J].,1994,12(4):2432248.QIJiazhong,CHENLimin.Microwaveabsorptionofultrafinemetalpowdermultilayercompositematerials[J].PowderMetallurgyTechnology,1994,12(4):2432248.(inChinese)[6]MOSALLAEIH,RAHMATSY.RCSreductionofcanonicaltargetsusinggeneticalgorithmsynthesizedRAM[J].IEEETransactionsonAntennasandPropa2gation,2000,48(10):159421605.[7],,,.[J].2003,31(6):9182920.GANZhiping,GUANJianguo,DENGHuiyong,etal.Designofbroadband,thin2layerradarabsorbingmaterialsusinggeneticalgorithms[J].ActaElectroni2caSinica,2003,31(6):9182920.(inChinese)[8],.[J].,2005,20(3):3212324.YANGJuan,LIANGChanghong.Reflectionandre2fractionofaplanewaveattheinterfaceofdoublenega2tiveanddoublepositivemedia[J].ChineseJournalofRadioScience,2005,20(3):3212324.(inChinese)[9]VALENZUELAAQ,FERNANDEZFA.Generaldesigntheoryforsingle2layerhomogeneousabsorber[J].IEEETransactionsonAntennasandPropaga2tion,1996,44(7):8222826.[10]MUSALHMJr,HahnHT.Thin2layerelectromag2neticabsorberdesign[J].IEEETransactionsonMagnetics,1989,25(5):385123853.[11],,.[J].,2002,22(2):37240.GANZhiping,GUANJianguomWANGWei.Stud2iesonmatchingrulesformicrowaveelectromagneticparametersofsingle2layerhomogeneousabsorber[J].ChineseJournalofRadioScience,2002,22(2):37240.(inChinese)[12],,.[J].,1992,10(4):2832287.LIANGChanghong,ZHAOXiangyang,HUXiao2pei.Conditionsofperfectabsorptionforsingle2layerelectromagneticwaveabsorberunderobliqueinci2dence[J].JournalofAppliedSciences,1992,10(4):2832287.(inChinese)[13],,.[J].,1998,26(11):32234.WUMingzhong,ZHAOZhensheng,HEHuahui.Reflectionandtransmissioncharacteristicsofuniaxialanisotropicradarabsorbingmaterialswithoutconduc2tionbases[J].JournalOfHuazhongUniversityOfScienceAndTechnology,1998,26(11):32234.(inChinese)[14],,.[J].,1997,29(4):1152117.QINBai,QINRuhu,JINChongjun.DemonstrationoftheGeneralMatchingLawanditsapplicationinmaterialforcamouflage[J].JournalofHarbinInsti2tuteofTechnology,1997,29(4):1152117.(inChi2nese)[15],,,.[J].,2008,23(5):8182823.LIUSonghua,LIANGChanhong,GAOJie,etal.Totalreflectionandtotaltransmissionatinterfaceas2sociatedwithanisotropicmetamaterial[J].ChineseJournalofRadioScience,2008,23(5):8182823.(inChinese)[16],,,.[J].,2003,35(9):114021143.ZHANGHaifeng,ZHOUZhongxiang,QINBai,etal.ApplicationofGeneralMatchingLawindesignofmulti2layerabsorbingmaterials[J].JournalofHarbinInstituteofTechnology,2003,35(9):114021143.(inChinese)(1972-),,,,30,1,2,3(1938-),,1961,,,ElectromagneticsAcademy801124