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IEEE Transactions on Antennas and Propagation
Volume 46 Number 10, October 1998

Complex Image Model for Ground-Penetrating Radar Antennas

Page 1483.

Abstract:

A method of combining the complex image method with the constant {{Q}} assumption is derived, which enables the calculation of complex image parameters once for the whole frequency range in the general half-space case. The mixed potential method of moments is then used to model horizontal wire dipoles near a lossy half-space, using pulse-basis functions and point matching. The method is demonstrated by the modeling of two types of wire dipole. A conductive half-wave dipole shows excellent agreement with NEC-3. The current distribution of a 3.4 m resistively loaded dipole across the frequency range 0-512 MHz is also calculated and transformed to the time domain. The result agrees with published measurements. The time required on a work station was reduced to 4/ s per frequency point.

References

1. G. Turner and A. F. Siggins, "Constant Q attenuation of sub surface radar pulses," Geophys., vol. 59, no. 8, p. 1192, Aug. 1994.
2. S. Vitebskiy and L. Carin, "Moment-method modeling of short-pulse scattering from and the resonances of a wire buried inside a lossy dispersive half-space," IEEE Trans. Antennas Propagat., vol. 43, p. 1303, Nov. 1995.
3. S. Vitebskiy, K. Sturgess, and L. Carin, "Short-pulse scattering from buried perfectly conducting bodies of revolution," IEEE Trans. Antennas Propagat., vol. 44, p. 143, Feb. 1996.
4. S. A. Arcone, "Numerical studies of the radiation patterns of resistively loaded dipoles," J. Appl. Geophys., vol. 33, p. 39, 1995.
5. R. C. Compton, R. C. McPhedran, Z. Popovic, G. M. Rebeiz, P. P. Tong, and D. B. Rutledge, "Bow-tie antennas on a dielectric half-space: Theory and experiment," IEEE Trans. Antennas Propagat., vol. AP-35, p. 622, June 1987.
6. Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Howard, "A closed-form spatial Green's function for the thick microstrip substrate," IEEE Trans. Microwave Theory Tech., vol. 39, p. 588, Mar. 1991.
7. K. A. Michalski, "The mixed potential electric field integral equation for objects in layered media," Archiv Elektron. Übertragungstech. vol. 39, no. 5, p. 317, 1985.
8. I. V. Lindell, E. Alanen, and K. Mannersalo, "Exact image method for impedance computation of antennas above the ground," IEEE Trans. Antennas Propagat., vol. 33, p. 937, Sept. 1985.
9. G. J. Burke and E. K. Miller, "Modeling antennas near to and penetrating a lossy interface," IEEE Trans. Antennas Propagat., vol. 32, p. 1040, Oct. 1984.
10. G. Turner, "The influence of subsurface properties on ground penetrating radar pulses," Ph.D. dissertation, Macquarie University, Sydney, Ausdtralia, 1993.
11. B. D. Popovic and D. Z. Djurdjevic, "Entire-domain analysis of thin-wire antennas near or in lossy ground," Proc. Inst. Elect. Eng. Microwaves, Antennas, Propagat., vol. 142, no. 3, p. 213, June 1995.
12. W. C. Chew, Waves and Fields in Inhomogeneous Media.New York: IEEE Press, 1995.
13. R. F. Harrying, Field Computation by Moment Methods.New York: Macmillan, 1968.
14. R. Mittra, Ed., Computer Techniques for Electromagnetics.Washington, DC: Hemisphere, 1987.
15. G. J. Burke, W. A. Johnson, and E. K. Miller, "Modeling of simple antennas near to and penetrating an interface," Proc. IEEE, vol. 71, p. 174, Jan. 1983.
16. C. J. Leat, N. V. Shuley, and G. F. Stickley, "Complex images + constant Q = a fast GPR antenna model," in Proc. 7th Int. Conf. Ground Penetrating Radar, Lawrence, KS, May 1998, pp. 75-80.
17. R. W. P. King and G. S. Smith, Antennas in Matter.Cambridge, MA: MIT Press, 1981.