高阶微扰法的有效性研究

童创明1,2,黄泽贵1,胡国平1(11,713800;2129,610036):,,,,.,,;,.,.:;;;:TP72216/P71:A:0372-2112(2007)09-1745-04StudyofValidityofHigh-OrderSmallPerturbationMethodTONGChuang-ming1,2,HUANGZe-gui1,HUGuo-ping1(11MissileInstituteofAirForceEngineeringUniversity,Sanyuan,Shaanxi713800,China;21MilitaryRepresentativeofPLAatSouthwestChinaResearchInstituteofElectronicEquipment,Chengdu,Sichuan610036,China)Abstract:Validityofsmallperturbationmethod(SPM)andhigh-orderSPM(HSPM)isstudiedbyevaluatingtheemissiv-ityoftwo-dimensionalroughgroundandseasurface.Theinfluencesofsurfacemodel,permittivityandpolarizationonvalidityofHSPMandSPMareanalyzed.Thevalidrangeofrootmeanssquare(RMS)andcorrelationlength(CL)forHSPMandSPMisob-tainedfromtwo-dimensionalroughsurface.ResultsshowthatthediversityofdifferentmodelsdoesnotaffectthevalidityofSPMalmost,which,however,isnottrueforHSPM.AsfortheGaussianroughsurface,thevalidrangeofCLobtainedbyHSPMisfarlessthanthatbySPM.Bycomparingthesimulationresults,methodofmomentresultsandmeasureddata,itisseenthatHSPMisvalid.Keywords:roughsurface;emissivity;high-ordersmallperturbationmethod;validity1,.,.(SmallPerturbationMethod,SPM),Thorsos[1]SPM,lh.Kim[2]SPM,SPM.,,l=011~012K,h0108K;,l=012~014K,h0105K,80b,SPM;l014K,.,.[3],,(High-orderSPM,HSPM)[4].HSPM,.,HSPMSPM,HSPMSPM,.2SPM[5]f(1)AB(A,B=h,v),hv,eeh(Hi,i)ev(Hi,i)=11-1cosHiQP/20Q2P0k2sinHscos2Hs@W(ksL-kiL)|f(1)hh|2+|f(1)vh|2|f(1)hv|2+|f(1)vv|2dHsds(1):2006-05-08;:2006-11-30:(No.2005F23)920079ACTAELECTRONICASINICAVol.35No.9Sep.2007,kiks,Lz,kk1,(Hi,i)(Hs,s),W(ksL-kiL),,W(ksL-kiL)=l2h24Pexp(-|ksL-kiL|2l2/4)(2),W(ksL-kiL)=h2l22P(1+|ksL-kiL|2l2)-3/2(3),,ehh=1-|Rh0|2-2Re(Rh0„f(2)*hh(kiL))-1cosHiQP/20Q2P0k2sinHscos2HsW(ksL-kiL)@|f(1)hh(ksL,kiL)|2+|f(1)vh(ksL,kiL)|2dHsds(4a)evv=1-|Rv0|2-2Re(Rv0„f(2)*vv(kiL))-1cosHiQP/20Q2P0k2sinHscos2HsW(ksL-kiL)@|f(1)hv(ksL,kiL)|2+|f(1)vv(ksL,kiL)|2dHsds(4b),Rh0,Rv0Fresnel,(4)[5],„f(2)hh(kiL)=-2kiz(k21-k2)(kiz+k1iz)2-k1izQ]-]W(ksL-kiL)dksL+(k21-k2)Q]-]sin2(s-i)kszk1szk21ksz+k2k1sz+cos2(s-i)1k1sz+kszW(ksL-kiL)dksL(5a)„f(2)vv(kiL)=-2k(k21-k2)kiz(k21kiz+k2k1iz)2k1izQ]-]k21k2izkW(ksL-kiL)dksL+k2izQ]-]-sin2(s-i)kk21sz(k21-k2)k1sz+ksz+cos2(s-i)1k1sz+kszW(ksL-kiL)dksL(5b)-,TBTB(K,H,i,Ts)=e(K,Hi,i)Ts(6),TB,KHiiTs.HSPMSPM,,1.,lh1,lh.,,(1)(4),.3,SPM,(1)(2)(3)SPM,1,8136GHz,Er=4813-j3419.,SPM.1,Kim.,SPMh,h.1,.,(1),,h,,SPM.,SPM,.,1,,2.,Er=17-j2,115GHz.2,h,h,(),.,.HSPM,(4)(2)1,3.3,,h;SPM,,17462007h,h015K,,HSPM.,hHSPM.,31,HSPMh,SPM,HSPM.(1)(4),,HSPM.,1HSPM,h.,1SPMh.116,HSPM,.SPM,,h,SPM,SPM;,.HSPM,,h,;,h,.,HSPM,h,.,HSPM,,.1(h)(K)(K)SPMHSPMSPMHSPM0.063630.5120.063640.3010.069080.4430.069090.2160.103040.4080.103060.3920.112310.560.112330.307,h,,1hl=K.116,,hl,SPM,l1~4215,2,ThorsosKim.2,HSPM,,l;SPM,,l;,HSPMSPM.,,hl.2()(K)(K)SPMHSPMSPMHSPM[1,42.5][1,2.75][1,42.5][1,3.16][1,40.25][1,3.82][1,40.25][1,3.87],HSPM,(1)(4)(2),SPM(MOM)[6],4.,8136GHz,Er=54-j3815,l=01011m,h=01001m,Ts=300K.4,SPM,,VV.,HSPMSPM0.07,21K.,,.HSPM,(4)(2),[7],5.,Hollinger,291K,1417m/s,kR=110,kl=012,1.,HSPM,Fresnel.5,,,60b,.60b,,VV,1515K.,17479:.4,,,,,.,Stokes,.:[1]ThorsosEI,JacksonDR.Thevalidityoftheperturbationap-proximationforroughsurfacescatteringusingGaussianrough-nessspectrum[J].JournalofAcousticSocietyAmerica,1989,86(2):261-277.[2]KimM-J,StoddartAJ.Theregionofvalidityofperturbationtheory[J].WavesinRandomMedia,1993,3(4):325-342.[3]JohnsonJT.Astudyofocean-likesurfacethermalemissionandreflectionusingVoronovich.ssmallslopeapproximation[J].IEEETransactiononGeoscienceRemoteSensing,2005,43(2):306-314.[4]HuangZG,TongCM,HuGP,etal.StudyofthelowgrazingincidenteffectsfromfractalBrownianmotionroughseasurface[A].SeventeenthAsia-PacificMicrowaveConference[C].Suzhou,China:Hongwei,2005.1.299-302.[5]TsangL,KongJA,DingK.Scatteringofelectromagneticwaves:AdvancedTopic[M].NewYork:JohnWiley&Sons,INC.2001.[6]FlouryN,TosoG.TheseasurfaceatL-bandmicrowaves:mod-elingandapplications[J].SPIE,2002,4544(1):152-159.[7]HollingerJP.Passivemicrowavemeasurementsofseasurfaces[J].IEEETransactiononGeoscienceElectric,1971,9(1):165-169.:,1964,,,,.,70(SCIEIISTPSA40)..E-mail:[e-mail],1976,2006,,.,30(EI10),..E-mail:[e-mail],1964,,,.17482007