Approximated Solutions on the Electromagnetic Field in Near Zone Generated by a Horizontal Electric Dipole on the Planar Surface of the Anisotropic Rock
Keywords:
Anisotropic rock horizontal, ELF nearfield, electric dipoleAbstract
In this paper, the approximate formulas have been derived for ELF electromagnetic field in near zone from a horizontal electric dipole on the surface of sea water and one-dimensional anisotropic rock boundary. The computational scheme exploits the concept of quasi-static approach for ELF near-field approximations. Specifically, the integrands of Fourier- Bessel representations are approximated by adopting Maclaurin's Expansion where the ratio of wave numbers for rock and sea approaches zero. The approximated solution is in good agreement with the available experimental data.
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A. N. Sommerfeld, “Propagation of waves in wireless telegraphy,” Ann. Phys., vol. 28, pp. 665- 736, Mar. 1909.
S. F. Mahmoud, “Remarks on ‘The electromagnetic field of a vertical electric dipole over the earth and sea’,” IEEE Trans. Antennas Propagat., vol. 46, no. 12, pp. 1745-1946, Apr. 1999.
W. Y. Pan, “Surface wave propagation along the boundary between sea water and one dimensionally anisotropic rock,” J. Appl. Phys., vol. 58, pp. 3963-3974, 1985.
T. T. Wu and R. W. P. King, “Lateral electromagnetic pulses generated by a vertical dipole on the boundary between two dielectrics,” J. Appl. Phys., vol. 62, no. 11, pp. 4345-4355, June 1998.
R. W. P. King, M. Owens, and T. T. Wu, Lateral Electromagnetic Waves: Theory and Applications to Communications, Geophysical Exploration, and Remote Sensing. Springer, New York, 1992.
D. Margetis and T. T. Wu, “Exactly calculable field components of electric dipoles in planar boundary,” Journal of Mathematical Physics, vol. 42, no. 2, pp. 713-745, Jan. 2001.
D. Margetis, “Radiation of horizontal electric dipole on large dielectric sphere,” Journal of Mathematical Physics, vol. 43, no. 6, pp. 3162- 3201, May 2002.
H. Q. Zhang, W. Y. Pan, K. Li, and K. X. Shen, “Electromagnetic field for a horizontal electric dipole buried inside a dielectric layer coated high lossy half space,” Progress in Electromagnetics Research, PIER, vol. 50, pp. 163-186, 2005.
K. Li and Y. Lu, “Electromagnetic field generated by a horizontal electric dipole near the surface of a planar perfect conductor coated with a layer,” IEEE Trans. Antennas Propagt., vol. 53, no. 10, pp. 3191-3200, 2005.
J. P. Mei and K. Li, “Electromagnetic field from a horizontal electric dipole on the surface of a high lossy dielectric coated with a layer,” Progress in Electromagnetics Research, PIER, vol. 73, pp. 71- 91, 2007.
J. L. Tang and W. Hong, “The electromagnetic field produced by a horizontal electric dipole over a dielectric coated perfect conductor,” Progress in Electromagnetics Research, PIER, vol. 36, pp. 139-152, 2002.
M. Fechner, N. A. Spaldin, and I. E. Dzyaloshinskii, “Magnetic field generated by a charge in a magnetoelectric material,” Phys. Rev. B, vol. 89, no. 18, pp. 1719-1743, 2014.
Y. L. Geng, C. W. Qiu, and N. Yuan, “Exact solution to electromagnetic scattering by an impedance sphere coated with a anisotropic layer,” IEEE Trans. on Antennas Propagat., vol. 57, no. 2, pp. 572-576, 2009.
M. Parise, “Second-Order formulation for the quasi-static field from a vertical electric dipole on a lossy half-space,” Progress in Electromagnetics Research, vol. 140, no. 4, pp. 439-455, June 2013.
M. Parise, “An exact series representation for the EM field from a vertical electric dipole on an imperfectly conducting half-space,” Journal of Electromagnetic Waves and Applications, vol. 28, no. 8, pp. 932-942, Mar. 2014.
J. J. Simpson and A. Taflove, “ELF radar system proposed for localized D-region ionospheric anomalies,” IEEE Geoscience and Remote Sensing Letters, vol. 3, no. 4, pp. 500-503, Oct. 2006.
J. J. Simpson, “Current and future applications of 3-D global earth-ionosphere models based on the full-vector Maxwell’s equations FDTD method,” Surv. Geophys, vol. 30, no. 2, pp. 105-130, Mar. 2009.
J. J. Simpson and A. Taflove, “A novel ELF radar for major oil deposits,” IEEE Geoscience and Remote Sensing Letters, vol. 3, no. 1, pp. 36-39, Jan. 2006.
Y. Wang, H. Xia, and Q. Cao, “Analysis of ELF propagation along the earth surface using the FDTD model based on the spherical triangle meshing,” IEEE Antennas Wireless Propagat. Lett., vol. 8, no. 4, pp. 1017-1020, Sept. 2009.
Y. Wang, H. Xia, and Q. Cao, “Analysis of ELF attenuation rate using the geodesic FDTD algorithm,” International Conference on Microwave and Millimeter Wave Technology, IEEE, pp. 1413-1415, July 2010.
Y. Wang, Q. Cao, and B. Su, “A quasi threedimensional subgrid technique for the geodesic FDTD algorithm,” International Symposium on Antennas, Propagation & EM Theory, IEEE, pp. 936-938, Jan. 2013.
W. Y. Pan and K. Li, “ELF wave propagation along sea-rock boundary and mCSEM method,” in Propagation of SLF/ELF Electromagnetic Waves, 1st ed. Hangzhou, CN: Zhejiang University Press; Berlin Heidelberg, GER: Springer-Verlag, ch. 6, pp. 161-219, 2014.
E. I. Parkhomenko, Electrical Properties of Rocks. Plenum, New York, 1967.
H. L. Xu, T. T. Gu, and K. Li, “Approximated solutions for ELF near-field propagation due to a horizontal electric dipole excitation near the sea-rock boundary,” IEEE Trans. on Antennas Propagat., vol. 66, no. 5, pp. 2471-2481, May 2018.
J. R. Wait, Electromagnetic Waves in Stratified Media. 2nd ed., New York: Pergamon Press, 1970.
P. D. Young and C. S. Cox, “Electromagnetic active source sounding near the East Pacific Rise,” Geophys. Res. Lett., vol. 8, no. 10, pp. 1043-1046, Oct. 1981.
