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Excitation and Propagation of SLF/ELF Electromagnetic Waves in the Earth–Ionosphere Waveguide/Cavity

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Propagation of SLF/ELF Electromagnetic Waves

Part of the book series: Advanced Topics in Science and Technology in China ((ATSTC))

Abstract

In Chap. 2, the region of interest is a waveguide or cavity between the Earth’s surface and an isotropic homogeneous ionosphere. Both the dipole source and the observation point are assumed to be located on or near the spherical surface of the Earth. The approximated formulas are obtained for the electromagnetic field radiated by a vertical electric dipole and vertical magnetic dipole in the Earth-ionosphere waveguide or cavity. Based on the above results, the approximate formulas are derived readily for the electromagnetic field of a horizontal electric dipole in the Earth-ionosphere waveguide or cavity by using a reciprocity theorem. It is noted that the new approximated algorithm was addressed specially for the whole ELF range as well as the lower end of SLF range (below 50 Hz).

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References

  • Bannister PR (1984) ELF propagation update. IEEE J Ocean Eng 9(3):179–188

    Article  Google Scholar 

  • Bannister PR, Wolkoff EA, Katan JR, Williams FJ (1973) Far-field, extremely-low-frequency propagation measurements. Radio Sci 8(7):623–631

    Article  Google Scholar 

  • Barrick DE (1999) Exact ULF/ELF dipole field strengths in the Earth–ionosphere cavity over the Schumann resonance region: idealized boundaries. Radio Sci 34(1):209–227

    Article  Google Scholar 

  • Bouwkamp CJ, Casimir HBG (1954) On multipole expansions in the theory of electromagnetic radiation. Physica 20:539–554

    Article  MathSciNet  MATH  Google Scholar 

  • Budden KG (1961) Radio waves in the ionosphere. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Carroll KJ, Ferraro AJ (1990) Computer simulation of ELF injection in the Earth–ionosphere waveguide. Radio Sci 25(6):1363–1367

    Article  Google Scholar 

  • Cummer SA (2000) Modeling electromagnetic propagation in the Earth–ionosphere waveguide. IEEE Trans Antennas Propag 48(9):468–474

    Article  Google Scholar 

  • Felsen LB, Marcuvitz N (1973) Radiation and scattering of waves, Englewood Cliffs. Prentice Hall, New York

    Google Scholar 

  • Fraser-Smith AC, Bannister PR (1998) Reception of ELF signals at antipodal distance. Radio Sci 33(1):83–88

    Article  Google Scholar 

  • Galejs J (1964) Terrestrial extremely-low-frequency propagation. In: Bleil DF (ed) Natural electromagnetic phenomena below 30 kc/s. Plenum, New York, pp 205–258

    Chapter  Google Scholar 

  • Galejs J (1968) ELF and VLF fields of a horizontal electric dipole. IEEE Trans Antennas Propag 16(6):689–700

    Article  Google Scholar 

  • Galejs J (1970) ELF and VLF propagation for models of a perturbed ionosphere. Radio Sci 5(7):1041–1044

    Article  Google Scholar 

  • Galejs J (1972a) Terrestrial propagation of long electromagnetic waves. Pergamon, New York

    Google Scholar 

  • Galejs J (1972b) Stable solutions of ionospheric fields in the propagation of ELF and VLF waves. Radio Sci 7(6):549–561

    Article  Google Scholar 

  • Gradshteyn IS, Ryzhik IM (1980) Table of integrals, series, and products. Academic Press, New York

    MATH  Google Scholar 

  • Kirillov VV, Pronin AE (2007) Normal waves of the anisotropic Earth–ionosphere waveguide in the VLF-ULF range. Int J Geomagn Aeron 7:GI2006. doi:10.1029/2005GI000126G

    Article  Google Scholar 

  • Li GZ (2012) Researches on mechanism of SLF and ELF wave propagation in an anisotropic Earth-ionosphere cavity. MS thesis, Zhejiang University, Hangzhou, China. (In Chinese)

    Google Scholar 

  • Nickolaenko AP, Hayakawa M (2002) Resonances in the Earth–ionosphere cavity. Kluwer Academic, Dordrecht

    Google Scholar 

  • Pan WY (2004) LF VLF ELF wave propagation. UESTC Press, Chengdu. (In Chinese)

    Google Scholar 

  • Peng HY, Tao W, Pan WY, Guo LX (2012) Numerical integral method for ELF fields excited by vertical electric dipole in asymmetric Earth–ionosphere cavity. Chin J Radio Sci 22(2):333–338. (In Chinese)

    Google Scholar 

  • Peng HY, Wu SH, Pan WY, Guo LX (2013) ELF fields excited by horizontal electric dipole in asymmetric Earth–ionosphere cavity. Submitted to Chin J Radio Sci. (In Chinese)

    Google Scholar 

  • Rawer K, Bilitza D, Ramakrishnan S (1978) Goals and status of the international reference ionosphere. Rev Geophys 16:177–181

    Article  Google Scholar 

  • Rybachek ST, Ponomariev MJ (2007) Efficiency of the Earth–ionosphere waveguide excitation by ELF sources located in an anisotropic ionosphere. Int J Geomagn Aeron 7:GI1005. doi:10.1029/2005GI000123

    Article  Google Scholar 

  • Suchumann WO (1952a) On the radiation free selfoscillations of a conducting sphere, which is surrounded by an air layer and an ionosphere shell. Z Naturforsch 72:149–154. (In German)

    Google Scholar 

  • Suchumann WO (1952b) On the damping of electromagnetic selfoscillations of the system Earth–air–ionosphere. Z Naturforsch 72:250–252. (In German)

    Google Scholar 

  • Tripathi VK, Chang CL, Papadopoulos K (1982) Excitation of the Earth–ionosphere waveguide by an ELF source in the ionosphere. Radio Sci 17(5):1321–1326

    Article  Google Scholar 

  • Wait JR (1957) The mode theory of VLF ionospheric propagation for finite ground conductivity. Proc IRE 45(6):760–767

    Article  Google Scholar 

  • Wait JR (1960) Terrestrial propagation of very-low-frequency radio waves, a theoretical investigation. J Res Natl Bur Stand 64D:153–204

    MathSciNet  Google Scholar 

  • Wait JR (1970) Electromagnetic waves in stratified media, 2nd edn. Pergamon, New York

    Google Scholar 

  • Wait JR (1992) Reflection of VLF radio waves at a junction in the Earth-ionosphere waveguide. IEEE Trans Electromagn Compat 34:4–8

    Article  Google Scholar 

  • Wait JR, Spies KP (1965) Influence of finite ground conductivity on the propagation of VLF radio waves. Radio Sci 3:787–791

    Google Scholar 

  • Wang YX, Peng Q, Pan WY, Zhang HQ, Zhang ZW (2005) The fields excited by SLF/ELF horizontal electric dipole in Earth–ionosphere cavity. Chin J Radio Sci 22(5). (In Chinese)

    Google Scholar 

  • Wang YX, Fan WS, Pan WY, Zhang HQ (2008) Spherical harmonic series solution of fields excited by vertical electric dipole in Earth–ionosphere cavity. Front Electr Electron Eng China 3(1):61–69

    Article  Google Scholar 

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Authors and Affiliations

  1. China Research Institute of Radiowave Propagation, Qingdao, China

    Prof. Weiyan Pan

  2. Department of Information Science and Electronic Engineering, Yuquan Campus, Zhejiang University, Hangzhou, China

    Dr. Kai Li

Authors
  1. Prof. Weiyan Pan
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  2. Dr. Kai Li
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© 2014 Zhejiang University Press, Hangzhou and Springer-Verlag Berlin Heidelberg

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Pan, W., Li, K. (2014). Excitation and Propagation of SLF/ELF Electromagnetic Waves in the Earth–Ionosphere Waveguide/Cavity. In: Propagation of SLF/ELF Electromagnetic Waves. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39050-0_2

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  • DOI: https://doi.org/10.1007/978-3-642-39050-0_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39049-4

  • Online ISBN: 978-3-642-39050-0

  • eBook Packages: EngineeringEngineering (R0)

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