芯轴干涉型光纤水听器的声压灵敏度研究

47,070601(2010)Laser&OptoelectronicsProgress2010《》doi:10.3788/LOP47.070601芯轴干涉型光纤水听器的声压灵敏度研究周　炜　周宏朴　张　敏　廖延彪(,100084)　3(、、)。,,、、。、、。,-150.7dB(rerad/μPa),-151.3dB(rerad/μPa)。-151.9～-150.5dB(rerad/μPa),1.2dB(rerad/μpa)。,、。　;;;;;　TB565+.1　　　　OCIS　060.2370230.1040　　　　　AAcousticSensitivityofInterferometricFiber-OpticMandrelHydrophoneZhouWei　ZhouHongpu　ZhangMin　LiaoYanbiao(Fiber-opticSensorsLaboratory,DepartmentofElectronicEngineering,TsinghuaUniversity,Beijing100084,China)Abstract　Theacousticsensitivityofmandrelinterferometricfiber-optichydrophonewiththreelayers(coatedlayer,flexibletube,mandrel)wasanalyzed.Modelingwasbuiltwiththree-dimensionalelasticityanalysis.Resultsshowthatthemajorfactorswhichinfluencetheacousticsensitivityofthehydrophoneareelasticmodulus,wallthickness,outerradiusofthetube,andsensingfiber′slengthanddiameter.Young′smodulus,Poisson′sratioandthicknessofencapsulationlayerandmandrelhavelittleeffectontheacousticsensitivity.Anumberofhydrophonesampleswereproduced.Thetheoreticalvalueoftheiracousticsensitivityis-150.7dB(rerad/μPa),andtheaveragemeasuredvaluesis-151.3dB(rerad/μPa).Therangeofmeasuredvaluesis-151.9～-150.5dB(rerad/μPa),thedifferencebetweentheoreticalvalueandthemeasuredvalueislessthan1.2dB(rerad/μPa).Experimentsalsoshowthatencapsulationprocessofpackaginghassomeinfluenceontheacousticsensitivity.Keywords　fiber-optichydrophone;acousticsensitivity;elasticity;encapsulationlayer;flexibletube;mandrel　　:2010-01-27;:2010-02-20:863(2006AA0AA102-03)。:　(1984-),,,。E-mail:[e-mail]:(1935-),,,,。E-mail:[e-mail]1　　　、。,,。,。,、、、、,[1～4]。1977[5],30,。、、、、、[6～8],。。070601-147,070601。、[9～13],。,。2　1Fig.1Structureschematicofmandrelfiber-optichydrophone1。,。。,,。,3,1(b),δ,a,b。1(b+δ,b),,2(b,a),、。,12。3,,24Fig.2Stressofthefoursidesonthecylindricalmicro-cellbody23,,。(ta1/10)。,42。,(),,。(r,θ),uθ=0;τrθ=0,ur,σr,σθθ。,z()εz,σz,。,[14,15]。,(12):　　1r1=b+δ,Ps(),σ(r1=b+δ)=A1/(b+δ)2+2C1=-Ps;(1)　　2r2=a,,σ(r2=a)=A2/a2+2C2=0;(2)　　12(r1=r2=b),,Δr(r1=b)=Δr(r2=b),1E1[-A1b(1+μ1)+2C1(1-μ1)-μ1D1b]=1E2[-A2b(1+μ2)+2C2(1-μ2)-μ2D2b];(3)　　12(r1=r2=b),,σ(r1=b)=σ(r2=b),A1/b2+2C1=A2/b2+2C2;(4)　　1、23,(z),,π[(b+δ)2-b2]D1+π(b2-a2)D2+S3D3=-π(b+δ)2Ps;(5)　　1、23,εz1=εz2=εz3,070601-247,070601(D1-4μ1C1)=1E2(D2-4μ2C2),(6)1E1(D1-4μ1C1)=D3E3.(7)(1)～(7)E,μ,A,C,D,S3,1,2,3,1,2,3,E2,E20。(1)～(7),,1(b+δ)202000001a2020001+μ1b2-E1(1+μ2)E2b2-2(1-μ1)2E1E2(1-μ2)μ1-E1E2μ201b2-1b22-20000000π[(b+δ)2-b2]π(b2-a2)S300-4μ1E1E204μ21-E1E20000E3E14μ10-E3E101UVWXYZQ=-1000-π(b+δ)200,(8)U=A1/Ps,V=A2/Ps,W=C1/Ps,X=C2/Ps,Y=D1/Ps,Z=D2/Ps,Q=D3/Ps。,(8)7U,V,W,X,Y,Z,Q。(3),r2=b　Δr(r2=b)=1E2[-A2b(1+μ2)+2C2(1-μ2)-μ2D2b]=1E2[-Vb(1+μ2)+2X(1-μ2)-μ2Zb]Ps,(9)Δφ=24π2nNΔr(r2=b)λ0(1-Pe),(10)δφPs=24π2nNλ0(1-Pe)1E2-Vb(1+M2)+2X(1-M2)-M2Zb,(11)n,N,Pe,λ0。1。1(8)U=-3.76×10-6m2,V=2.13×10-4m2,W=-0.4813,X=-2.1783,Y=-0.8857,Z=-3.1834,Q=-0.5626。(9)～(11),:Δr(r2=b)=-8.3988×10-12Psm;Δφ=0.03949Psrad,20lg(Δφ/Ps)=-30.7dB(rerad/Pa)=-150.7dB(rerad/μPa)。1Table1Structureparametersoffiber-opticmandrelhydrophoneCoatedlayerE1=25.5MPa,　μ1=0.46,　δ=2mmFlexibletubeE2=5.88GPa,　μ2=0.36,　a=7mm,　b=8mmMandrelE3=71GPa,　μ3=0.3,　R0=2mmFiberdf=190μm,　1-Pe=0.79[6],　n=1.456,　N=59Wavelengthλ0=1550nmdf:fiberdiameter070601-347,070601　1,20～1000Hz。±0.5dB(rerad/μPa),。2。245-151.9～-150.5dB(rerad/μPa),-151.3dB(rerad/μPa),±1dB(rerad/μPa)。245Table2Testvalueof45hydrophone′sacousticsensitivityunit:dB(rerad/μPa)No.ValueNoValueNo.ValueNo.ValueNo.Value1-151.110-151.119-151.828-151.937-150.32-150.911-151.420-151.529-151.138-151.13-150.812-151.621-150.830-150.539-150.94-151.613-151.822-152.031-151.940-151.85-151.614-151.623-151.732-151.341-151.76-151.015-151.724-151.533-151.642-150.87-151.416-150.825-151.634-151.943-151.68-151.217-150.926-151.435-150.744-150.79-151.218-150.827-151.036-151.445-150.7345Fig.3Contrastbetweenmeasuredvaluesandtheoreticalvaluesofacousticsensitivity　　453。3,1.2dB(rerad/μPa)。。4　,,、、,,,1。(E1)、(μ1)(δ),5,6。,,,。10MPa1GPa,1.8dB(rerad/μPa)。1mm4mm,dB。108Pa,2mm,。4、Fig.4Impactontheacousticsensitivityofcoatedlayer′sYoung′smodulusandPoisson′sratio5Fig.5Impactontheacousticsensitivityofcoatedlayer′sYoung′smodulusandthickness　　,。6,L1,6dB(rerad/μPa)。070601-447,070601～9,,(μ2),(E20),(t)(b),。,()。6Fig.6Relationshipbetweenacousticsensitivityandsensingfiberlength7、Fig.7Impactontheacousticsensitivityofflexibletube′sYoung′smodulusandPoisson′sratio8Fig.8Impactontheacousticsensitivityofflexibletube′sYoung′smodulusandthickness9Fig.9Relationshipbetweenacousticsensitivityandouterradiusofflexibletube10Fig.10RelationshipbetweenacousticsensitivityandmandrelYoung′smodulus　　[16]。E20,Ps,Δr,ΔL,Δφ,。7,1GPa71GPa,22.3dB(rerad/μPa)。,(t),,Δr,。8,E20=2.3GPa,1mm2mm,3.5dB(rerad/μPa)。b,(Δr)b,Nb(),Δφ,。9,6mm10mm,5.4dB(rerad/μPa)。,,。。。10,20GPa(),;20GPa,。,,71GPa,,。070601-547,070601　　　3,,。。1.2dB(rerad/μPa),。,:,、、。。,、,,。1P.Nash.Reviewofinterferometricopticalfiberhydrophonetechnology[J].IEEEProc.Radar,SonarNavig.,1996,143(3):204～2092K.K.Clay,D.