SLF/ELF水平电偶极子在地-电离层波导中的场
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摘要
在非理想导电地面与电离层条件下,导出了SLF/ELF水平电偶极子在球形地-电离层壳体中产生的电磁场的球谐级数表达式,采用一种加速收敛算法,算出了波导中的电磁场分布。根据计算结果,在SLF频段,地面与电离层之间的电磁场可理解为两个"行波"的叠加,且与SLF频段的球面二阶近似算法计算结果吻合很好。在ELF频段,壳体中的电磁场是驻波,其频率变化规律能正确反映出"舒曼"谐振现象。
The spherical harmonic series expressions of electromagnetic fields excited by ELF/SLF horizontal electric dipole in spherical Earth-ionosphere guide when earth and ionosphere are regarded as the imperfectly electric conductor has been derived.A method to improve the speed of convergence has been presented.The electromagnetic fields in the cavity have been calculated by this algorithm.From the result,electromagnetic fields between earth and ionosphere are the sum of two travelling wave in SLF band.Moreover,it perfectly agrees with the result of famous spherical second order approximation in SLF band.The electromagnetic fields in the guide are a kind of standing wave in ELF band.The variation of the amplitude verse frequency coincides with the Schumann resonance.
The spherical harmonic series expressions of electromagnetic fields excited by ELF/SLF horizontal electric dipole in spherical Earth-ionosphere guide when earth and ionosphere are regarded as the imperfectly electric conductor has been derived.A method to improve the speed of convergence has been presented.The electromagnetic fields in the cavity have been calculated by this algorithm.From the result,electromagnetic fields between earth and ionosphere are the sum of two travelling wave in SLF band.Moreover,it perfectly agrees with the result of famous spherical second order approximation in SLF band.The electromagnetic fields in the guide are a kind of standing wave in ELF band.The variation of the amplitude verse frequency coincides with the Schumann resonance.
引文
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[11]张红旗,潘威炎,沈凯先.位于覆盖介质层导电基底中的水平电偶极子激起的场[J].电波科学学报,2001,16(4):451-460.Zhang HQ,Pan WY,Shen K X.Electromagnetic field of a horizontal electric dipolein a non-perfectconduct or coa-ted with a dielectric layer[J].Chinese Journal of Radio Science,2001,16(4):451-460.
[12]Carroll,KJ,and AJ Ferraro.Computer si mulation of ELFinjectioninthe Earth-ionosphere waveguide[J]·Ra-dio Sci.,1990,25(6):1363-1367·
[13]丁鉴海,申旭辉,潘威炎等.地震电磁前兆研究进展[J].电波科学学报,2006,21(5):791-801.Ding J H,Shen X H,Pan W Y,et al..Seismo-electro-magnetismprecursor research progress[J].Chinese Jour-nal of Radio Science,2006,21(5):791-801.
[2]潘威炎.长波超长波极长波传播[M].电子科技大学出版社,2004.
[3]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):5-11.Zhang HQ,Pan WY.The electromagnetic field of a verti-cal electric dipole onthe non-perfect conductor coated with a layer of dielectric[J].Chinese Journal of Radio Science,2001,16(3):5-11.
[4]王元新,潘威炎,樊文生等.垂直电偶极子在地-电离层波导中场的球级数解[J].电波科学学报,2007,22(2):204-211.Wang Y X,Pan W Y,Fan WS et al..Spherical harmonic series solution of fields excited by vertical electric dipolein Earth-ionosphere cavity[J].Chinese Journal of Radio Sci-ence,2007,22(2):204-211.
[5]Wait,J R.Electromagnetic Waves in Stratified Media,372pp.[M].Pergamon,Tarrytown,N.Y.,1962.
[6]Abramowitz,M,and I A Stegun.Handbook of Mathe-matical Functions[M]·U.S.Govt.Print.Off.,Wash-ington,D.C.,1964.
[7]Bliokh,P V,AP Nicholaenko,and YF Filippov.Schu-mann resonances in the Earth-ionosphere cavity[J]·Inst.Of Electr.Eng.Waves Ser.9,chap.4,Peter Peregri-nus,London,1980.
[8]Budden,K G.Radio Waves in the Ionosphere,542pp.[M].Cambridge Univ.Press,New York,1961.
[9]Fraser-Smith,A C,and P R Bannister.Reception of ELFsignals at antipodal distance[J].Radio Sci.,1998,33(1):83-88.
[10]李凯,潘威炎.电偶极子在无限大各向异性媒质中的辐射场[J].电波科学学报,1997,12(1):57-64.Li K,Pan WY.Radiation of an electric dipolein aninfi-nite anisotropic medium[J].Chinese Journal of Radio Science,1997,12(1):57-64.
[11]张红旗,潘威炎,沈凯先.位于覆盖介质层导电基底中的水平电偶极子激起的场[J].电波科学学报,2001,16(4):451-460.Zhang HQ,Pan WY,Shen K X.Electromagnetic field of a horizontal electric dipolein a non-perfectconduct or coa-ted with a dielectric layer[J].Chinese Journal of Radio Science,2001,16(4):451-460.
[12]Carroll,KJ,and AJ Ferraro.Computer si mulation of ELFinjectioninthe Earth-ionosphere waveguide[J]·Ra-dio Sci.,1990,25(6):1363-1367·
[13]丁鉴海,申旭辉,潘威炎等.地震电磁前兆研究进展[J].电波科学学报,2006,21(5):791-801.Ding J H,Shen X H,Pan W Y,et al..Seismo-electro-magnetismprecursor research progress[J].Chinese Jour-nal of Radio Science,2006,21(5):791-801.
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