地震ELF/SLF辐射源在地面及电离层中产生的场
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摘要
针对地震电磁辐射与传播,将地下辐射源理想化为水平ELF/SLF电偶极子,传播介质理想化为地层-大气层-电离层三层平面分层介质,其中地层和电离层都看作均匀有耗介质。在此物理模型下,导出了电磁场在大气层和电离层中的积分表达式,更由留数定理得出了电磁场的级数表达式。计算结果表明:ELF/SLF电波从辐射源出发后,首先以最短的垂直向上路径渗透出地层进入大气层,然后在地-电离层波导中以若干个"波模"叠加的方式向外传播到达大气层中的接收点,并进一步渗透电离层被卫星上的接收点接收。
Based on the earthquake electromagnetism radiation and propagation,the underground radiator is idealized as a horizontal ELF/SLF electric dipole and the environmental medium as a planar layered medium including the lithosphere,the atmosphere and the ionosphere.Both the lithosphere and the ionosphere are regarded as homogeneous lossy medium.The integral expressions of the electromagnetic field in the atmosphere and the ionosphere has been derived under this physical model.Furthermore,the series expressions of the electromagnetic field has been deduced with the help of the residue theorem.It is shown that the ELF/SLF electric wave penetrates into the atmosphere from the dipole via the vertical route which is the shortest.Then it arrives at the receive point in the Earth-ionosphere guide in the form of the sum of several wave modes.Ulteriorly,it is received by the receive point on the satellite when it extends upward into the ionosphere.
Based on the earthquake electromagnetism radiation and propagation,the underground radiator is idealized as a horizontal ELF/SLF electric dipole and the environmental medium as a planar layered medium including the lithosphere,the atmosphere and the ionosphere.Both the lithosphere and the ionosphere are regarded as homogeneous lossy medium.The integral expressions of the electromagnetic field in the atmosphere and the ionosphere has been derived under this physical model.Furthermore,the series expressions of the electromagnetic field has been deduced with the help of the residue theorem.It is shown that the ELF/SLF electric wave penetrates into the atmosphere from the dipole via the vertical route which is the shortest.Then it arrives at the receive point in the Earth-ionosphere guide in the form of the sum of several wave modes.Ulteriorly,it is received by the receive point on the satellite when it extends upward into the ionosphere.
引文
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[9]ABRAMOWITZ M,STEGUN I A.Handbook ofMathematical Functions[M].U.S.Govt.Print.Off.,Washington,D.C.,1964.
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[11]ZHANG Hong-qi Q,PAN We-yan.Electromagneticfield of a vertical electric dipole on a perfect conduc-tor coated with a dielectric layer[J].Radio Science,2002,27(4):1060.doi:101029/2000ks002348.
[12]GRADSHTEYN I S,RYZHIL I M.Table of Inte-grals、Series and Products[M].New York:Academicpress,1980
[2]KING R W P,QWENS M,WU T T.Lateral Electro-magnetic Waves:Theory and Applications to Commu-nications,Geophysical Exploration,and RemotingSensing[M].New York:Springer-verlag,1992.
[3]潘威炎.长波超长波极长波传播[M].成都:电子科技大学出版社,2004.
[4]KING R W P.The electromagnetic field of a horizon-tal electric dipole in the presence of a three-layered re-gion[J].J.A.Phys.1991,69(12):7987-7995.
[5]CASEY J P.Extremely Low Frequency(ELF)Propa-gation Formulas For Dipole Sources Radiating in aSpherical Earth-Ionosphere Waveguide[R].NUWC-NPT Technical Report 11,2002.
[6]张红旗,潘威炎.水平电偶极子在涂敷介质层的导电基底上激起的场[J].电波科学学报,2001,16(3):367-374.ZHANG Hong-qi,PAN Wei-yan.Electromagnetic fieldof a horizontal electric dipole over a perfect conductorcoated with a dielectric layer[J].Chinese Journal ofRadio Science,2001,16(3):367-374.(in Chinese)
[7]张红旗,潘威炎,沈凯先.位于介质覆盖的导电基底中水平电偶极子的场[J].电波科学学报,2001,16(4):451-460.ZHANG Hong-qi,PAN Wei-yan,SHEN Kai-xian.E-lectromagnetic field of a horizontal electric dipole in anon-perfectconduct or coated with a dielectric layer[J].Chinese Journal of Radio Science,2001,16(4):451-460.(in Chinese)
[8]王元新,潘威炎,张红旗.SLF/ELF水平电偶极子在地-电离层波导中的场[J].电波科学学报,2007,22(5):728-734WANG Yuan-xin,PAN Wei-yan,ZHANG Hong-qi.The fields excited by SLF/ELF horizontal electric di-pole in Earth-ionosphere cavity[J].Chinese Journal ofRadio Science,2007,22(5):728-734.(in Chinese)
[9]ABRAMOWITZ M,STEGUN I A.Handbook ofMathematical Functions[M].U.S.Govt.Print.Off.,Washington,D.C.,1964.
[10]KING R W P.The electromagnetic field of a horizon-tal electric dipole in the presence of a three-layered re-gion:Supplement[J].J.A.Phys.1993,74(8):4845-4848.
[11]ZHANG Hong-qi Q,PAN We-yan.Electromagneticfield of a vertical electric dipole on a perfect conduc-tor coated with a dielectric layer[J].Radio Science,2002,27(4):1060.doi:101029/2000ks002348.
[12]GRADSHTEYN I S,RYZHIL I M.Table of Inte-grals、Series and Products[M].New York:Academicpress,1980
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