深空背景下空间目标紫外特性建模方法研究

ActaPhys．Sin．Vol．60No．820110895012011ChinesePhysicalSocietyhttp//wulixb．iphy．ac．cn089501-1*10019120107142011120、．．．、．．．PACS95.30.Jx02.70.Dh95.55.Fw78.20.Bh*IRT0705、201017097．[e-mail]1.．、、1．．．、2．．、3—5．6—8．、“”．、．、、、．．．．2.．、19．．2.1.．ActaPhys．Sin．Vol．60No．82011089501089501-21bidirectionalreflectancedistributionfunctionBRDFfr．BRDFNicodemus101965、．2frdLrdEifrθiφiθrφrλ=dLrθiφiθrφrλdEiθiφiλ1θiφiθrφrλ．2BRDF3．．BRDF．34ninrnndoo'θd．4dA．BRDFdAoo'11—13Lpθiφiθrφrλ=frθiφiθrφrλEsunλcosθi2Esunλ．dAoo'dIθr=LpθiφiθrφrλdAcosθr=frθiφiθrφrλ×EsunλcosθicosθrdA．3dAdA'ActaPhys．Sin．Vol．60No．82011089501089501-3dΦ=dIθrdΩ=frθiφiθrφrλ×EsunλcosθicosθrdAdΩ4dΩdA'dAdΩ=dA'cosθdR2．5dAdA'dE=dΦ/dA'=frθiφiθrφrλ×EsunλcosθicosθrcosθddA/R2．62.2.．、．14ρ=0.12．6dAdE'=frθ'iφ'iθrφrλρ×Esunλcosθ'icosθrcosθddA/R2．7θ'iφ'i．N、“”0.01—0.4μm67“”EN=dE+dE'dλ．8E=ΣEN．9、、、．3.3.1.、．3.1.1.5J2000.015．J2000.0i-j-kJ2000.0iJ2000.0kj．x-y-zxzy．53.1.2.、、1617M=t－τμ/a槡310v=M+e2－e24+5e4()96×sinM+e254－11e2()24sin2M+e31312－43e2()64sin3M+103e496sin4M+1097e5960sin5M11ActaPhys．Sin．Vol．60No．82011089501089501-4r=a1－e21+ecosv12μμ=398600.47km3/s2aeMvrtτJ2000.0．、、、、J2000.0p=Rz－ΩRx－iRz－ωp013iΩωp0=rcosvrsinv0RiθRxθ=1000cosθsinθ0－sinθcosθRyθ=cosθ0－sinθ010sinθ0cosθRzθ=cosθsinθ0－sinθcosθ0001．J2000.0q=L001RzωRxiRzΩp．14qL001L001=01000－1－100．153.1.3.dAijni=pxpypzno=qxqyqz6．dAijθi=arccosnij·ni/nijni．16dAijθr=arccosnij·no/nijno．17．x=xij+pxty=yij+pytz=zij+pzt．18x=xij+qxty=yij+qytz=zij+qzt．19Fxyz=0．20dAijcosθi≥0cosθr≥0θi≤π/2θr≤π/218201920dAij、．6、、．7．3.2.．3.2.1.BRDFDavies18．frθiφiθrφrλ=132ρπcosθiexp－4πσλcosθ()i[]2+ρcosθicosθrπ3cosθi+cosθr4a()λ2σ()λ2×[exp－πa()λ2sin2θi+sin2θr+2sinθisinθrcosφi－φr]21ActaPhys．Sin．Vol．60No．82011089501089501-57σaρ、．1．F46SR107GaInP2/GaAs/Ge．2000mm×1800mm×2250mm25mm×6500mm×3215mm4460mm×2020mm×3790mm40mm×7800mm×3790mm．1σ/μma/μmρ0.020.850.900.947.160.810.132.140.301.087.970.073.2.2.as=1.00000102Au1Au=1.49597892×108kmes=0.01670862－0.00004204T－0.00000124T2is=23.439291°－0.01300417°T－0.00000016°T2Ωs=0.0°ωs=282.937347°+0.32256206°T－0.00015757°T21950-01-030200．T=t－2451545.0/36525t．am=4.055×105kmem=0.0549im=18.28°—28.58°Ωm=125.08°ωm=318.15°2004-04-120323．23．2ao/kmeoio/°Ωo/°ωo/°7149.30.001198.50185.371335.63111207207.40.001998.7530.00060.0001000ActaPhys．Sin．Vol．60No．82011089501089501-63ad/kmedid/°Ωd/°ωd/°7184.70.00196.34185.371335.63111207232.80.00197.3930.00060.00010003.3.82009-06-051200—20009、10．8ab300km．．．．9ab、、．“”“”．．ASTM4901353W/m2．91.3%8.7%．1910－610－7．．ActaPhys．Sin．Vol．60No．82011089501089501-710ab．10－14．．4.．、、．、BRDF．．、．1YaoLXQiuWLWangFH1995OpticalCharacteristicsofTargetandEnvironmentBeijingAerospacePressp1inChinese、、199512WangJJYuXH2006J．Acad．Equip．Comm．Technol．1733inChinese、200617333JosephCL1997Proc．SPIE29992444CoxRJStricklandDJEvansJSWrightKCPaxtonLJ1994Proc．SPIE22822615MendeSBFuselierSA1993Opt．Eng．3231396ZhouMZhaoDG2009ActaPhys．Sin．587255inChinese、20095872557ZhouMZuoSHZhaoDG2007ActaPhys．Sin．565513inChinese、、20075655138SchuehleUHHochedezJEPauJLRiveraCMunozE2004Proc．SPIE51712319WangHYZhangWWangZL2009J．Appl．Opt．30410inChinese、、20093041010NicodemusFE1965Appl．Opt．476711YeHXJinYQ2008ActaPhys．Sin．57839inChinese、20085783912XuLQLiHXiaoZY2008ActaPhys．Sin．576030inChinese、、200857603013SunCMYuanYZhangXB2009Proc．SPIE738338114XuXHLiangXGRenJX2006J．Astron．27153inChinese、、20062715315XiXNWangWGaoYD2003FundamentalsofNear-EarthSpacecraftOrbitChangshaNationalUniversityofDefenseTechnologyPressp11inChinese、、20031116LuWTWangSJZhangH2007ActaPhys．Sin．563655inChinese、、200756365517YuJHSuZL2006J．Spacec．Telem．TrackComm．Technol．ActaPhys．Sin．Vol．60No．82011089501089501-82552inChinese、2006255218ShenYJZhangZMTsaiBKDeWittDP2001Int．J．Thermophys．22131119SunCMYuanYZhangXB2010ActaPhys．Sin．597523inChinese、、2010597523Modelingofultravioletcharacteristicsofdeepspacetarget*YuanYanSunCheng-MingHuangFeng-ZhenZhaoHui-JieWangQianKeyLaboratoryofPrecisionOpto-mechatronicsTechnologyofMinistryofEducationBeijingUniversityofAeronauticsandAstronauticsBeijing100191ChinaReceived14July2010revisedmanuscriptreceived20January2011AbstractUltravioletdetectionhasadvantagesofhighsensitivityandlowfalsealarmrate．Analysisofultravioletcharacteristicshasgreatsignificanceforspacetargetdetection．Anaccuratemodelingmethodisproposedfortheultravioletcharacteristicsofspacetarget．Basedonthebackgroundenvironmentandmaterialpropertiesofspacetargetregionandgriddivisionaregeneratedandthemathematicalmodelofultravioletcharacteristicsofspacetargetisestablishedbyintroducingbidirectionalreflectancedistributionfunction．Thepositionrelationsoftargetdetectorandbackgroundradiationsourcearedeterminedbycoordinatetransformationalgorithm．Thecalculationflowforultravioletcharacteristicsofspacetargetisderived．FinallytheobservedrangesandirradiationdistributionsofZiyuan-1andFengyun-3satellitearecalculatedbythegivenparameters．Thesimulationresultsdemonstratethevalidityofthemodelingmethod．KeywordsspacetargetultravioletcharacteristicsbidirectionalreflectancedistributionfunctionmodelingandsimulationPACS95.30.Jx02.70.Dh95.55.Fw78