Exact Transient Field of a Horizontal Electric Dipole with Double Exponential Excitation on the Boundary Two Dielectrics

Authors

  • B. J. Xia Department of Information Science and Electronic Engineering Zhejiang University, Hangzhou, Zhejiang 310027, China
  • T. T. Gu Department of Information Science and Electronic Engineering Zhejiang University, Hangzhou, Zhejiang 310027, China
  • W. Dai Department of Information Science and Electronic Engineering Zhejiang University, Hangzhou, Zhejiang 310027, China
  • K. Li Department of Information Science and Electronic Engineering Zhejiang University, Hangzhou, Zhejiang 310027, China

Keywords:

Double exponential excitation, exact formulas, horizontal electric dipole

Abstract

In this paper, the exact formulas are derived for the time-domain electromagnetic field radiated by a horizontal electric dipole with double exponential excitation along the boundary between two different dielectrics. The transient field components consist of two lateral pulses with the amplitude attenuation factor 2 9 . In particular, the two lateral pulses travel along the boundary in Regions 1 and 2 with different velocities.

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References

A. Sommerfeld, “Propagation of waves in wireless telegraphy,” Ann. Phys., vol. 28, pp. 665-736, 1909.

A. Sommerfeld, “Propagation of waves in wireless telegraphy,” Ann. Phys., vol. 81, pp. 1135-1153, 1926.

J. R. Wait, “The electromagnetic fields of a horizontal dipole in the presence of a conducting half-space,” Can. J. Phys., vol. 39, pp. 1017-1027, 1961.

R. W. P. King, “New formulas for the electromagnetic field of a vertical electric dipole in a dielectric or conducting half-space near its horizontal interface,” J. Appl. Phys., vol. 53, pp. 8476-8482, 1982; erratum, vol. 56, p. 3366, 1984.

T. T. Wu and R. W. P. King, “Lateral waves: new formulas for E1 and E1z ,” Radio Sci., vol. 17, pp. 532-538, 1982; correction, vol. 19, p. 1422, 1984.

T. T. Wu and R. W. P. King, “Lateral waves: a new formula and interference pattern,” Radio Sci., vol. 17, pp. 521-531, 1982.

R. W. P. King and T. T. Wu, “Lateral waves: new formulas for the magnetic field,” J. Appl. Phys., vol. 54, pp. 507-514, 1983; erratum, vol. 56, p. 3365, 1984.

R. W. P. King and M. F. Brown, “Lateral electromagnetic waves along plane boundaries: a summarizing approach,” Proc. IEEE, vol. 72, pp. 595-611, 1984.

R. W. P. King, “Electromagnetic surface waves: new formulas and applications,” IEEE Trans. Antennas Propagat., vol. AP-33, no. 11, pp. 1204- 1212, 1985.

D. Margetis and T. T. Wu, “Exactly calculable field components of electric dipoles in planar boundary,” J. Math. Phys., vol. 42, pp. 713-745, 2001.

R. W. P. King, M. Owens, and T. T. Wu, “Lateral electromagnetic waves, theory and applications to communications, geophysical exploration, and remoting sensing,” Springer-Verlag, 1992.

B. Van der Pol, “On discontinuous electromagnetic waves and occurrence of a surface wave,” IRE Trans. Antennas and Propag., vol. AP-4, pp. 288-293, 1956.

J. R. Wait, “The transient behavior of the electromagnetic ground wave on a spherical earth,” IRE Trans. Antennas and Propag., vol. AP-5, pp. 198-202, 1957.

J. R. Wait, “Wave propagation theory,” Pergamon, New York, 1981.

H. J. Frankena, “Transient phenomena associated with sommerfield’s horizontal dipole problem,” Applied Scientific Research, Section B, vol. 8, pp. 357-368, 1960.

A. T. De Hoop and H. J. Frankena, “Radiation of pulses generated by a vertical electric dipole above a plane, non-conducting earth,” Applied Scientific Research, Section B, vol. 8, pp. 369-377, 1960.

A. Ezzeddine, J. A. Kong, and L. Tsang, “Time response of a vertical electric dipole over a twolayer medium by the double deformation technique,” J. Appl. Phys., vol. 53, no. 2, pp. 813-822, 1981.

T. T. Wu and R. W. P. King, “Lateral electromagnetic pulses generated by a vertical electric dipole on the boundary between two dielectrics,” J. Appl. Phys., vol. 62, pp. 4345-4355, 1987.

R. W. P. King, “Lateral electromagnetic pulses generated by a vertical electric dipole on a plane boundary between dielectrics,” J. Electrom. Waves Appl., vol. 2, pp. 225-243, 1988.

R. W. P. King, “Lateral electromagnetic pulses generated on a plane boundary between dielectrics by vertical and horizontal dipole source with gaussian pluse excitation,” J. Electrom. Waves Appl., vol. 2, pp. 589-597, 1989.

K. Li, Y. Lu, and W. Y. Pan, “Exact formulas for the lateral electromagnetic pulses generated by a horizontal electric dipole on the boundary of two dielectrics,” Progress In Electromagnetics Research, PIER 55, pp. 249-283, Jin Au Kong, Ed., EMW Publishing, Cambridge, Boston, 2005.

K. Li, Y. Lu, and M. Li, “Approximate formulas for lateral electromagnetic pulses from a horizontal electric dipole on the surface of one-dimensionally anisotropic medium,” IEEE Trans. Antennas and Propag., vol. 53, no. 3, pp. 933-937, 2005.

K. Li, Y. Lu, and W. Y. Pan, “Exact transient field of a horizontal electric dipole excited by a gaussian pulse on the boundary two dielectrics,” IEEE Antennas and Wireless Propagation Letters, vol. 4, pp. 337-340, 2005.

K. Li, “Electromagnetic fields in stratified media,” Springer-Verlag jointly with ZJU Press, 2009.

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Published

2021-08-30

How to Cite

[1]
B. J. . Xia, T. T. . Gu, W. . Dai, and K. . Li, “Exact Transient Field of a Horizontal Electric Dipole with Double Exponential Excitation on the Boundary Two Dielectrics”, ACES Journal, vol. 29, no. 12, pp. 1117–1123, Aug. 2021.

Issue

2014: Vol 29 Iss 12

Section

General Submission