高频波场传播问题中使用的复源点和复射线方法
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
将实空间解析延拓为复空间,则将出现复坐标的源点和复空间中的射线。本文较为全面地介绍了复源点和复射线的概念,并对复源点和复射线的物理含义及有关方法的数学依据进行了探讨,这将有助于对相关问题的更好理解。
With an analytical extension from real space into complex one,the coordinates of thesource point and the rays will be changed into complex space respectively,In this paper,thephysical meaning of the complex source point(CSP)and the complex ray(CR),as well as the mathematical procedure in the related methods are discuased.A correct acknowledgement tothe related concepts and methods is expected with the overall explanation presented here.
引文
[1]EpsteinPS.GeometricalOpticsinAbsorbingMedia.Proc.Nat.Acad.Sci.(U.S),1930.16:3-45[2]JonesRM.RayTheoryforLossyMedia,RadioSci,1970,5:793-801[3]BuddenKG,TerryPD.RadioRayTracinginComplexSpace,Proc.Roy.Soc,Ser.A,1971,321:275-301[4]BertoniHL,FelsenLB,HesselA.LocalPropertiesofRadiationinLossyMedia.IEEETrans,1971,AP-19:226-237[5]KellerJB.AGeometricalTheoryofDiffraction:CalculusofVariationsandItsApplications.Proc.Symp.AppliedMathematics,1958,8:27-52[6]KellerJB,RubinowSI.AsymptoticSolutionofEigenvalueProblems.Ann.Phy,1960,9:24-75[7]KravstovYA.ComplexRaysandComplexCaustics.Proc.4thAll-UnionSymp."DiffractionofWaves",Moscow,1967[8]WhiteDW,PedersenMA.EvaluationofShadow-ZoneFieldsbyUniformAsymptoticsandComplexRays.JAcoustSocAm,1981,69(4):1029-1059[9]KellerJB,StreiferW.ComplexRaysWithanApplicationtoGaussianBeams.JOptSocAm,1971,61:40-43[10]DeschampsGA,TheGaussianBeamasaBundleofComplexRays.ElectronLett.1971,7(23):684-685[11]ChoudharyS,FelsenLB.AsymptoticTheoryforIn-homogeneousWaves,IEEETrans,1973,AP—21:827-842[12]WangWD,DeschompsGA,ApplicationforComplexRayTracingtoScatteringProblems.Proc.IEEE,1974,62(11):1541-1551[13]FelsenLB.ComplexRays.PhilipsResRep,1975,169-185[14]FelsenLB.GeometricalTheoryofDiffraction,EvanescentWaves,ComplexRaysandGaussianBeams,GeophyJRoyAstrSoc,1984,79:77-88[15]FelsenLB.RealSpectra,ComplexSpectra,CompactSpectra,FOptSocAm,SerA,1986,3:486-496[16]ShinSY,FelsenLB.GaussianBeamModesbyMultipolesWithComplexSourcePoints.JOptSocAm,1977,67:699-700[17]LukKM,YuPK.ComplexSourcePointTheoryofGaussianBeamandResonator.Proc.IEE,Pt.J,1985,11(2):105-113[18]LuKKM,YuPM.GeuerationofHermite-GaussianBeamModesbyMultipoleswithCornplexSourcePoints,J.Opt.Soc.Am,Ser,A,1985,2(11):1818-1820[19]HeymanE,FelsenLB.Complex-SourcePulsed-BeamFields.J.Opt.Soc.Am,SerA,1989,6(6):806-817[20]ChoudharyS,FelsenLB.AnalysisofGaussianBeamPropagationandDiffractionbyImhomogeneousWoveTracking.Proc.IEEE,1974,62(11):1530-1541[21]EinzigerPD,FelsenLB.EvanescentWavesandComplexRays,IEEETrans.1982,AP-30(4):594-605[22]FelsenLB.NovelWaysForTrackingRays,JOpt.Soc,Am,Ser.A,1985,2(6):954-963[23]HasselmannFJV,FelsenLB,AsymptoticAnalysisofParabolicReflectorAntennas.IEEETrans,1982,AP-30:677-685[24]GhioneG,MontrossetI,FelsenLB.CornplexRayAnalysisofRadiationfromLargeApeRturewithTaperedIllumination.IEEETrans,1984,AP-32:684-693[25]GaoXJ,FelsenLB.ComplexRayAnalysisofBeamTrausmissionThrotigh2-6Random.IEEETrans,1985,AP-33:963-975[26]RuanYZ,FelsenLB.ReflectionandTransmissionofBeamsataCurvedInterface,J.Opt.Soc.AM,ser.A,1986,3:566-579[27]LuIT,FelsenLB,RuanYZ.SpectralAspectsoftheGaussianBeamMethod.Geophy.J.Roy.Astr.Soc,1987,89:915-932[28]阮颖铮。复射线理论及其应用。北京电子工业出版社,1991[29]阮颖铮。电磁射线理论基础,成都:成都电讯工程学院出版社,1989[30]阮颖铮。复射线理论和应用。通信学报,1987,8(4):51-59[31]阮颖铮,FelsenLB。复射线近轴近似原理和应用;应用科学学报,1989,7(2):174-178[32]阮颖铮。圆柱面波的复惠更斯源展开。光学学报,1988,8(1):83-88[33]阮颖铮。地震波场的复射线展开。地球物理学报,1990,33(3):343-348[34]阮颖铮。复射线理论在电磁散射和雷达截分析中的应用。电子学报,1989,17(3):89-94[35]阮颖铮。圆柱天线罩电磁散射的复射线分析。电子科学学刊,1989,11(4):368-377[36]冯文澜,阮颖铮。用复射线展开法分析目标的雷达截面。电子科学学刊,1990,12(6):646-649[37]阮颖铮,杜惠平。损耗媒质中的复射线场。应用科学学报,1992,10(2)13-19[38]阮颖铮。复射线法及其在水声技术中的应用。声学学报,1992,17(6):607-613

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心