In this paper,the propagation model considers the two half-spaces as a homogeneous isotropic medium and one-dimensionally anisotropic medium. From the exact formulas for the transient field with delta-function excitation,it is obtained readily the exact formulas for the transient field excited by a horizontal electric dipole with Gaussian excitation when both the dipole point and field point are located on the boundary between a homogeneous isotropic medium and one-dimensionally anisotropic medium. It is seen that the final exact formulas can be expressed in terms of several fundamental functions and finite integrals,which are evaluated easily.
2. Sommerfeld, A., "Propagation of waves in wireless telegraphy ," Ann. Phys., Vol. 81, 1135-1153, Dec. 1926.
doi:10.1002/andp.19263862516
3. Wait, J. R., "The electromagnetic fields of a horizontal dipole in the presence of a conducting half-space," Can. J. Phys., Vol. 39, 0117-1027, 1961.
4. King, R. W. P., "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, 8476-8482, Dec. 1982; erratum, Vol. 56,3366, Dec. 1984.
doi:10.1063/1.330496
5. Wu, T. T. and R. W. P. King, "Lateral waves: New formulas for E1Φand E1z," Radio Sci. , Vol. 17, 532-538, May-June 1982; correction, Vol. 19, 1422, Sept.-Oct. 1984.
doi:10.1029/RS017i003p00532
6. Wu, T. T. and R. W. P. King, "Lateral waves: A new formula and interference pattern," Radio Sci., Vol. 17, 521-531, May-June 1982.
doi:10.1029/RS017i003p00521
7. King, R. W. P. and T. T. Wu, "Lateral waves: New formulas for the magnetic field," J. Appl. Phys. , Vol. 54, 507-514, Feb. 1983; erratum, Vol. 56, 3365, Dec. 1984.
doi:10.1063/1.332102
8. King, R. W. P. and M. F. Brown, "Lateral electromagnetic waves along plane boundaries: A summarizing approach," Proc. IEEE, Vol. 72, 595-611, May, 1984.
doi:10.1109/PROC.1984.12898
9. King, R. W. P., "Electromagnetic surface waves: New formulas and applications," IEEE Trans. Antennas Propagat., Vol. 33, No. 11, Nov. 1985.
10. Pan, W. Y., "Surface-wave propagation along the boundary between sea water and one-dimensionally anisotropic rock ," J. Appl. Phys., Vol. 58, 3963-3974, 1985.
doi:10.1063/1.335571
11. Margetis, D. and T. T. Wu, "Exactly calculable field components of electric dipoles in planar boundary," J. Math. Phys, Vol. 42, 713-745, 2001.
doi:10.1063/1.1330731
12. Xu, X.-B. and Y. Huang, "An efficient analysis of vertical dipole antennas above a lossy half-space," Progress In Electromagnetics Research, Vol. 74, 353-377, 2007.
doi:10.2528/PIER07052202
13. Chen, H. T., J.-X. Luo, and D.-K. Zhang, "An analytic formula of the current distribution for the VLF horizontal wire antenna above lossy half-space ," Progress In Electromagnetics Research Letters , Vol. 1, 149-158, 2008.
doi:10.2528/PIERL07112904
14. Attiya, A. M., "Dyadic Green's function of an elementary point source above a periodically-defected-grounded dielectric slab," Progress In Electromagnetics Research B, Vol. 4, 127-145, 2008.
doi:10.2528/PIERB08011001
15. Van Der Pol, B., "On discontinuous electromagnetic waves and occurrrnce of a surface wave," IRE Trans. Antennas and Propag., Vol. 4, 288-293, 1956.
doi:10.1109/TAP.1956.1144389
16. Wait, J. R., " The transient behavior of the electromagnetic ground wave on a spherical earth," IRE Trans. Antennas and Propag., Vol. 5, 198-202, 1957.
doi:10.1109/TAP.1957.1144494
17. Wait, J. R., Wave Propagation Theory , Pergamon, New York, 1981.
18. Frankena, H. J., "Transient phenomena associated with Sommerfield's horizontal dipole problem ," Applied Scientific Research, Section B, Vol. 8, 357-368, 1960.
doi:10.1007/BF02920069
19. De Hoop, A. T. and H. J. Frankena, "Radiation of pulses generated by a vertical electric dipole above a plane,nonconducting earth ," Applied Scientific Research, Section B, Vol. 8, 369-377, 1960.
doi:10.1007/BF02920070
20. Ezzeddine, A., J. A. Kong, and L. Tsang, "Time response of a vertical electric dipole over a two-layer medium by the double deformation technique ," J. Appl. Phys., Vol. 53, No. 2, 813-822, 1981.
doi:10.1063/1.330586
21. Wu, T. T. 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, 4345-4355, 1987.
doi:10.1063/1.339067
22. King, R. W. P., "Lateral electromagnetic pulses generated by a vertical electric dipole on a plane boundary between dielectrics," J. Electrom. Waves Appl., Vol. 2, 225-243, 1988.
doi:10.1163/156939388X00206
23. King, R. W. P., "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, 589-597, 1989.
24. King, R. W. P., O. Margaret, and T. T. Wu, Lateral Electromagnetic Waves, Theory and Applications to Communications, Geophysical Exploration, and Remoting Sensing, Springer-Verlag, 1992.
25. Li, K., 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, 933-937, 2005.
doi:10.1109/TAP.2004.842604
26. Li, K., 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, Vol. 55, 249-283, EMW Publishing, Cambridge, 2005.
27. Li, K., 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, 337 -340, 2005.
doi:10.1109/LAWP.2005.857040
28. Li, K., Y. Lu, and W.-Y. Pan, "Exact formulas for the lateral electromagnetic pulses generated by a horizontal electric dipole in the boundary between a isotropic medium and one-dimensionally anisotropic medium," Progress In Electromagnetics Research, Vol. 60, 43-83, EMW Publishing, Cambridge, 2006.
29. Xu, Y. H., W. Ren, and K. Li, "The approximate transient field of a horizontal electric dipole excited by a Gaussian pulse on the boundary between a homogeneous isotropic medium and onedimensionally anisotropic medium," IEEE Antennas and Wireless Propagation Letters, Vol. 6, 427-431, 2007.
doi:10.1109/LAWP.2007.905014
30. Cossmann, S. M. and E. J. Rothwell, "Transient reflection of plane waves from a Lorentz medium half space ," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 10, 1289-1302, 2007.
doi:10.1163/156939307783239456
31. Popov, A. V. and V. V. Kopeikin, "Electromagnetic pulse propagation over nonuniform earth surface: Numerical simulation ," Progress In Electromagnetics Research B, Vol. 6, 37-64, 2008.
doi:10.2528/PIERB08031102
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