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The Double Deformation Technique
By
, Vol. 08, 173-298, 1994
Abstract
Citation
Michael James Tsuk, S. Y. Poh, and J. A. Kong, "The Double Deformation Technique," , Vol. 08, 173-298, 1994.
doi:10.2528/PIER92012500
References

1. Sommerfeld, A., Partial Differential Equations in Physics, Academic Press Inc., New York, 1949.
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2. Banos, A., Dipole Radiation in the Presence of a Conducting Halfspace, Pergamon, New York, 1966.
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3. Kong, J. A., L. C. Shen, and L. Tsang, "Field of an antenna submerged in a dissipative dielectric medium," IEEE Trans. Antennas Propagat., Vol. AP-25, No. 6, 887-889, Nov. 1977.
doi:

4. Bannister, P. R., "The image theory for electromagnetic fields of a horizontal electric dipole in the presence of a conducting half space," Radio Sci., Vol. 17, No. 5, 1095-1102, Sept.-Oct. 1982.

5. Lindell, I. V. and E. Alanen, "Exact image theory for the Sommerfeld halfspace problem, part I: vertical magnetic dipole," IEEE Trans. Antennas Propagat., Vol. AP-32, No. 2, 126-133, Feb. 1984.

6. Lindell, I. V. and E. Alanen, "Exact image theory for the Sommerfeld halfspace problem, part II: vertical electric dipole," IEEE Trans. Antennas Propagat., Vol. AP-32, No. 8, 841-847, Aug. 1984.

7. Ward, S. H., "Electromagnetic theory for geophysical applications," Mining Geophysics, Vol. 2, part A: Tulsa, SEG, 10-196, 1967.

8. Wait, J. R., Electromagnetic Waves in Stratified Media, 2nd Ed., Pergamon Press, New York, 1970.

9. Wait, J. R., "The magnetic dipole over the horizontally stratified earth," Can. J. Phys., Vol. 29, No. 6, 577-592, Nov. 1951.

10. Wait, J. R., "Radiation from a vertical electric dipole over a stratified ground," IRE Trans. Antennas Propagat., Vol. AP-1, No. 1, 9-11, July 1953.

11. Wolf, A., "Electric field of an oscillating dipole on the surface of a two-layer earth," Geophysics, Vol. 11, No. 4, 518-534, Oct. 1946.

12. El-Said, M. A. H., "Geophysical prospection of underground water in the desert by means of electromagnetic interference fringes," Proc. IRE, Vol. 44, No. 1, 24-30, Jan. 1956.

13. Bhattacharyya, B. K., "Electromagnetifcie filds of a vertical magnetic dipole placed above the the Earth's surface," Geophysics, Vol. 28, No. 3, 408-425, June 1963.

14. Kong, J. A., L. Tsang, and G. Simmons, "Geophysical subsurface probing with radio-frequency interferometry," IEEE Trans. Antennas Propagat., Vol. AP-22, No. 4, 616-620, July 1974.

15. Kong, J. A., Theory of Electromagnetic Waves, Wiley-Interscience, New York, 1975.

16. Chan, W. C. M., J. A. Kong, and L. Tsang, "Geophysical subsurface probing with a horizontal magnetic dipole," IEEE Trans. Antennas Propagat., Vol. AP-24, No. 2, 877-879, March 1976.

17. Chew, W. C., "Mixed boundary value problems in microstrip and geophysical probing problems,", PPh.D. thesis, Massachusetts Institute of Technology; Cambridge, MA, June 1980.

18. Kong, J. A. (Ed.), Research Topics in Electromagnetic Wave Theory, Wiley-Interscience, New York, 1981.

19. Chew, W. C. and J. A. Kong, "Electromagnetic field of a dipole on a two-layer earth," Gwphysics, Vol. 46, No. 3, 309-315, March 1981.

20. Chew, W. C. and J. A. Kong, "Asymptotic approximation of waves due to a dipole on a two-layer medium," Radio Sci., Vol. 17, No. 3, 509-513, May-June 1982.

21. Wait, J. R., "Electromagnetic fields of a dipole over an anisotropic halfspace," Can. J. Phys., Vol. 44, No. 10, 2387-2401, Oct. 1966.

22. Wait, J. R., "Electromagnetic fields of a dipole over a stratified anisotropic half space," IEEE Trans. Antennas Propagat., Vol. AP-14, No. 6, 790-792, Nov. 1966.

23. Sinha, A. K. and P. K. Bhattacharya, "Electric dipole over an anisotropic and inhomogeneous earth," Geophysics, Vol. 32, 652-667, Aug. 1967.

24. Kong, J. A., "Electromagnetic fields due to dipole antennas over stratified anisotropic media," Gwphysics, Vol. 37, No. 6, 985-996, Dec. 1972.

25. Cheng, D., J. A. Kong, and L. Tsang, "Geophysical subsurface probing of a two-layered uniaxial medium with a horizontal magnetic dipole," IEEE Trans. Antennas Propagat., Vol. AP-25, No. 6, 766-769, Nov. 1977.

26. Mao, S., S. Jones, and G. D. Vendelin, "Millimeter-wave integrated circuits," IEEE Trans. Microwave Theory Tech., Vol. MTT-16, No. 2, 455-461, July 1968.

27. Chew, W. C., J. A. Kong, and L. C. Shen, "Radiation characteristics of a circular microstrip antenna," J. Appl. Phys., Vol. 51, No. 7, 3907-3915, July 1980.

28. Poh, S. Y., W. C. Chew, and J. A. Kong, "Approximate formulas for line capacitance and characteristic impedance of microstrip line," IEEE Trans. Microwave Theory Tech., Vol. MTT-29, No. 2, 135-142, Feb. 1981. Correction in Vol. MTT-29, No. 10, p. 1119, Oct. 1981.

29. Hawley, P. F., "Transients in electrical prospecting," Geophysics, Vol. 3, No. 3, 247-257, July 1938.

30. Bennett, C. L. and G. F. Ross, "Time-domain electromagnetics and its applications," Proc. IEEE, Vol. 66, No. 3, 299-318, March 1978.

31. Patra, H. P. and K. Mallick, "Transient soundings," Geosounding Principles, Ch. 5, Vol. 2, Elsevier, Amsterdam, 1980.

32. Kaufrnan, A. A. and G. V. Keller, Frequency and Tkansient Soundings, Elsevier, Amsterdam, 1983.

33. Wait, J. R., "Transient electromagnetic propagation in a conducting medium," Geophysics, Vol. 16, 213-221, 1951.

34. Bhattacharyya, B. K., "Propagation of transient electromagnetic waves in a medium of finite conductivity," Geophysics, Vol. 22, No. 1, 75-88, Jan. 1957.

35. Bhattacharyya, B. K., "Propagation of an electric pulse through a homogeneous and isotropic medium," Geophysics, Vol. 22, No. 4, 905-921, Oct. 1957.

36. Poritsky, H., "Propagation of transient fields from dipoles near the ground," British J. Appl. Phys., Vol. 6, 421-426, Dec. 1955.

37. Van der Pol, B., "On discontinuous electromagnetic waves and the occurrence of a surface wave," IRE Trans. Antennas Propagat., Vol. AP-4, No. 3, 288-293, July 1956.

38. Pekeris, C. L. and Z. Alterman, "Radiation resulting from an impulsive current in a vertical antenna placed on a dielectric ground," J. Appl. Phys., Vol. 28, No. 11, 1317-1323, Nov. 1957.

39. Cagniard, L., Reflection and Refraction of Progressive Seismic Waves, E. A. Flinn and C. H. Dix, Eds., McGraw-Hill, New York, 1962.

40. Bhattacharyya, B. K., "Electromagnetic fields of a transient magnetic dipole on the Earth's surface," Geophysics, Vol. 23, No. 1, 89-108, Feb. 1959.

41. de Hoop, A. T., "A modification of Cagniard's method for solving seismic pulse problems," Appl. Sci. Res., Vol. B8, 349-356, 1960.

42. de Hoop, A. T. and H. J. Frankena, "Radiation of pulses generated by a vertical electric dipole above a plane non-conducting earth," Appl. Sci. Res., Vol. B8, 369-377, 1960.

43. Frankena, H. J., "Transient phenomena associated with Sommerfeld's horizontal dipole problem," Appl. Sci. Res., Vol. B8, 357-368, 1960.

44. Wait, J. R., "Propagation of electromagnetic pulses in homogeneous conducting earth," Appl. Sci. Res, Vol. B8, 213-253, 1960.

45. Bremmer, H., "The pulse solution connected with the Sommerfeld problem for a dipole in the interface between two dielectrics," Electromagnetic Waves, edited by R. E. Langer, 39-64, University of Wisconsin Press, Madison, 1962.

46. Hill, D., "The transient fields of a Hertzian dipole in the presence of a dielectric halfspace," Radio Sci., Vol. 6, No. 8,9, 787-794, Aug.-Sept. 1971.

47. Wai, J. R. and D. A. Hill, "Transient signals from a buried magnetic dipole," J. Appl. Phys., Vol. 42, No. 10, 3866-3869, Sept. 1971.

48. Wait, J. R. and D. A. Hil, "Transient magnetic fields produced by a stepfunction-excited loop buried in the earth," Electron. Lett., Vol. 8, No. 11, 294-295, June 1972.

49. Wait, J. R. and D. A. Hill, "Transient electromagnetic fields of a finite circular loop in the presence of a conducting half space," J. Appl. Phys., Vol. 43, No. 11, 4532-4534, Nov. 1972.

50. Wait, J. R. and R. H. Ott, "On calculating transient electromagnetic fields of a small current-carrying loop over a homogeneous earth," P. Appl. Gwphys., Vol. 95, 157-162, 1972.

51. Fuller, J. A. and J. R. Wait, "A pulsed dipole in the earth," Transient Electromagnetic Fields, L. B. Felsen, Ed., 237-269, Springer-Verlag, Berlin, 1976.

52. de Hoop, A. T., "Pulse electromagnetic radiation from a line source in a two-media configwation," Radio Sci., Vol. 14, No. 2, 253-268, March-April 1979.

53. Haddad, H. and D. C. Chang, "Transient electromagnetic field generated by a vertical electric dipole on the surface of a dissipative earth," Radio Sci., Vol. 16, No. 2, 169-178, March-April 1981.

54. Baum, C. E., "The singularity expansion method," Transient Electromagnetic Fields, L. B. Felsen, Ed., 130-176, Springer-Verlag, Berlin, 1976.

55. Kuester, E. F., "The transient electromagnetic field of a pulsed line source located above a dispersively reflecting surface," IEEE Trans. Antennas Propagat., Vol. AP-32, No. 11, 1154-1162, Nov. 1979.

56. Wait, J. R., "Shielding of a transient electromagnetic dipole field by a conductive sheet," Can. J. Phys., Vol. 34, No. 8, 890-893, Aug. 1956.

57. Vanyan, L. L., Electromagnetic depth soundings, selected and translated by George V. Keller, Consultants Bureau, New York, 1967.

58. Kaufman, A. A. and S. A. Terent'yev, "The nonstationary field of a vertical magnetic dipole in beds of limited thickness," Izv., Earth Physics, No. 9, 85-87, 1971.

59. Wait, J. R., "On the theory of transient electromagnetic sounding over a stratified earth," Can. J. Phys., Vol. 50, No. 11, 1055-1061, June 1972.

60. Dey, A. and H. F. Morrison, "Electromagnetic coupling in frequency and time-domain induced polarization surveys over a multi-layered earth," Geophysics, Vol. 38, No. 2, 380-405, April 1973.

61. Tsang, L., R. Brown, J. A. Kong, and G. Simmons, "Numerical evaluation of electromagnetic fields due to dipole antennas in the presence of stratified media," J. Geophys. Res., Vol. 79, No. 14, 2077-2080, May 1974.

62. Kaufman, A. A., "Exploration methods based on nonstationary electromagnetic fields in the near zone," Izv. Acad. Sci. USSR Phys. Solid Earth, No. 11, 43-53, 1973.

63. Lee, T. and R. Lewis, "Transient E.M. response of a large loop on a layered ground," Geophys. Prospect., Vol. 22, No. 3, 430-444, Sept. 1974.

64. Lytle, R. J. and D. L. Lager, "Using the natural-frequency concept in remote probing of the earth," Radio Sci., Vol. 11, No. 3, 199-209, March 1976.

65. Botros, A. Z. and S. F. Mahmoud, "The transient fields of simple radiators from the point of view of remote sensing of the ground subsurface," Radio Sci., Vol. 13, No. 2, 379-389, March-April 1978.

66. Kaufman, A. A., "Harmonic and transient fields on the surface of a two-layered medium," Geophysics, Vol. 44, No. 7, 1208-1217, July 1979.

67. Mahmoud, S. F., A. Z. Botros, and J. R. Wait, "Transient electromagnetic fields of a vertical magnetic dipole on a two-layer earth," Proc. IEEE, Vol. 67, No. 7, 1022-1029, July 1979.

68. Ezzeddine, A., J. A. Kong, and L. Tsang, "Transient fields of a vertical electric dipole over a two-layer nondispersive dielectric," J. Appl. Phys., Vol. 52, No. 3, 1202-1208, March 1981.

69. 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, Feb. 1982.

70. Tsang, L. and J. A. Kong, "Modified modal theory of transient response in layered media," J. Math. Phys., Vol. 20, No. 6, 1170-1182, June 1979.

71. Bowhill, S. A., The Physics of The Ionosphere, 308, The Physical Society, London, 1955.

72. Rönnäng, B. O., "Transient wave propagation in symmetric ionized Epstein layers," Proc. IEEE, Vol. 54, No. 9, 1207-1209, Sept. 1966.

73. Gray, K. G., "An exact solution for the impulse response of a uniform plasma half space," IEEE Trans. Antennas Propagat., Vol. AP-22, No. 6, 819-821, Nov. 1974.

74. Gray, K. G. and S. A. Bowhill, "Transient response of stratified media: Multiple scattering integral and differential equation for an impulsive incident plane wave," Radio Sci., Vol. 9, No. 1, 57-62, Jan. 1974.

75. Gray, K. G. and S. A. Bowhill, "Transient response of stratified media: Response to an arbitrary incident plane wave," Radio Sci., Vol. 9, No. 1, 63-69, Jan. 1974.

76. Gray, K. G. and S. A. Bowhill, "The impulse response of a cold stratified plasma in the presence of collisions and a vertical magnetic field by a multiple-scattering technique," Radio Sci., Vol. 9, No. 5, 559-566, May 1974.

77. Ott, E. and J. Shmoys, "Transient radiation in a plane stratified dispersive medium. I. Halfspace configuration," Can. J. Phys., Vol. 46, No. 9, 1059-1071, May 1968.

78. Ott, E. and J. Shmoys, "Transient radiation in a plane stratified dispersive medium. 11. Exponential profile, plasma slab, and plasma gap," Can. J. Phys., Vol. 47, No. 14, 1435-1446, July 1969.

79. Chang, F. Y., "Transient analysis of lossless coupled transmission lines in a nonhomogeneous dielectric medium," IEEE Trans. Microwave Theory Tech., Vol. MTT-18, No. 9, 616-626, Sept. 1970.

80. Agrawal, A. K., H. M. Fowles, L. D. Scott, and S. H. Gurbaxani, "Application of modal analysis to the transient response of multiconductor transmission lines with branches," IEEE Trans. Electromagn. Compat., Vol. EMC-21, No. 3, 256-262, Aug. 1979.

81. Rosenbaum, J. H., "The long-time response of a layered elastic medium to explosive sound," J. Geophys. Res., Vol. 65, No. 5, 1577-1613, May 1960.

82. Poh, S. Y. and J. A. Kong, "Transient response of a vertical electric dipole on a two-layer medium," Journal of Electromagnetic Waves and Applications, Vol. 1, No. 2, 135-158, 1987.

83. Kong, J. A., Electromagnetic Wave Theory, Wiley-Interscience, New York, 1986.