2000 IEEE.
Personal use of this material is
permitted. However, permission to reprint/republish this
material for advertising or promotional purposes or for
creating new collective works for resale or redistribution
to servers or lists, or to reuse any copyrighted component
of this work in other works must be obtained from the
IEEE.
IEEE Transactions on Antennas and Propagation
Volume 48 Number 9, September 2000
Table of Contents for this issue
Complete paper in PDF format
Application of Radio Ground-Wave
Propagation Theory to the Tomographic Imaging of Ground Surfaces
Zhipeng Wu Member, IEEE
Page 1384.
Abstract:
Radiowave propagation over ground has been historically studied
for predicting the radiated fields when the ground properties are known and
the field has been well covered over the past hundred years. In this paper,the theory of ground wave propagation is applied to inverse problem of the
tomographic imaging of ground surfaces. After the inverse problem is formulated,an iterative technique for solving it is illustrated. This is based on the
minimization of the cost function of the measured and estimated scattered
fields produced by the surface under investigation in isolation. Numerical
simulation results are presented for the reconstruction of four different
ground features surrounded by sea water namely: 1) dry ground; 2) wet ground;
3) dry-wet mixed ground; and 4) dry ground with a central water pool.
It has been demonstrated that the technique is able to reconstruct the distributions
of normalized surface impedance of the isolated surfaces and, hence, their
images. The iterative process can converge with a small number of iterations
using the normalized surface impedance of sea water as the initial guessed
values. However, better images can be produced using a priori
information. This study thus illustrates a new application of ground
wave propagation theory with possible applications in ground surface mapping,remote sensing, target positioning and monitoring, and navigation.
References
-
J. R. Wait, "The ancient and modern history of EM ground wave propagation", IEEE Antennas Propagat. Mag., vol. 40, pp. 7-22, Oct.
1998.
-
J. R. Wait, "Recent analytical investigations of electromagnetic ground wave propagation over inhomogeneous earth models",
Proc. IEEE, vol. 62, pp. 1061-1071, Aug. 1974.
-
A. Sommerfield, "Uber die ausbeitung der wellen in der drahtlosen telegraphie", Annalen den Physik, vol. 81, pp.
1135-1153, 1926.
-
A. Sommerfield, Patial Differential Equations in Physics, New York: Academic, 1949.
-
B. Van del Pol, "Theory of the reflection of the light from a point source by a finite conducting flat mirror with an application to radiotelegraphy", Physica, vol. 2, pp. 843-853, 1935.
-
K. A. Norton, "The propagation of radio waves over the surface of the earth and in the upper atmosphere", Proc. IRE, vol. 25, pp. 1203-1236,
1937.
-
J. R. Wait,
Electromagnetic Waves in Stratified Media, New York: Pergamon, 1962.
-
J. R. Wait, "Electromagnetic surface waves,"in Advances
in Radio Research, J. A. Saxton, Ed. New York: Academic, 1964,vol. 1, pp. 157-217.
-
A. Banos,
Dipole Radiation in the Presence of a Conducting Half-Space, Oxford: U.K.: Pergamon, 1966
.
-
R. J. King, "Electromagnetic wave propagation over a constant impedance plane", Radio Sci., vol. 4, pp. 255-268, 1969.
-
R. J. King and J. R. Wait, "Electromagnetic groundwave propagation theory and experiment", Symp. Math., vol. 18, pp. 107
-207, 1976.
-
G. N. Watson, "The diffraction of electric waves by the earth", Proc. Roy. Soc. London, vol. 95, pp. 83-99, 1918
.
-
G. N. Watson, "The transmission of electric waves round the earth", Proc. Roy. Soc. London, vol. 95, pp. 546-563, 1919.
-
V. A. Fock, "Diffraction of radio waves around the Earth's surface", J. Physics (Moscow), vol. 9, pp. 256-266, 1945.
-
H. Bremmer,
Terrestrial Radio Waves, New York: Elsevier, 1949.
-
V. A. Fock,
Electromagnetic Diffraction and Propagation Problems, Oxford: U.K.:
Pergamon, 1965.
-
D. A. Hill and J. R. Wait, "Ground wave attenuation function for a spherical earth with arbitrary surface impedance", Radio Sci., vol. 15, no.
3, pp. 637-673, 1980.
-
E. Feinberg, "On the propagation of radio wave along an imperfect surface-Parts I, II", J. Physics (USSR), vol. VIII, no.
6, pp. 317-330, 1944.
-
E. Feinberg, "On the propagation of radio wave along an imperfect surface-Part III", J. Physics (USSR), vol. IV, no. 6, pp. 1-6, 1945.
-
G. D. Monteath, "Application of the compensation theorem to certain radiation and propagation problems", Proc. Inst. Elect. Eng., vol. 98, pp. 23-30, 1951.
-
J. R. Wait, "Mixed-path groundwave propagation, 1-short distance", J. Res. Nat. Bur. Stand., vol. 57, no. 1, pp. 1-15, 1956.
-
J. R. Wait and J. Householder, "Mixed-path groundwave propagation, 2-larger distance", J. Res. Nat. Bur. Stand., vol. 59, pp. 19-26, 1957.
-
Z. Godzinski, "The theory of groundwave propagation over inhomogeneous earth", Proc. IEEE, vol. 105, pp. 448-464,
1958.
-
J. R. Wait, "On the theory of mixed-path ground wave propagation on a spherical earth", J. Res. Nat. Bur. Stand., vol. 65, pp. 401-410, 1961.
-
J. R. Wait, "Oblique propagation of ground waves across coastline-Part I", J. Res. Nat. Bur. Stand., vol. 67, no. 6, pp. 617-624, 1963.
-
J. R. Wait, "Oblique propagation of ground waves across coastline-Part II", J. Res. Nat. Bur. Stand., vol. 67, no. 6, pp. 625-630, 1963.
-
J. R. Wait, "Oblique propagation of ground waves across coastline-Part III", J. Res. Nat. Bur. Stand., vol. 68, no. 3, pp. 291-296, 1964.
-
J. R. Wait and K. P. Spies, "Propagation of radiowaves past a coastline with a gradual change of surface impedance", IEEE Trans. Antennas Propagat., vol. AP-12, pp. 570-575, Sept. 1964.
-
R. J. King and S. W. Maley, "Model experiments on propagation of groundwaves across an abrupt boundary at oblique incidence", Radio Sci., vol. 1, pp. 111-115, 1966.
-
R. J. King, S. W. Maley and J. R. Wait, "Groundwave propagation along the three-section mixed paths", Proc. Inst. Elect. Eng., vol. 113, no. 5, pp. 747-751, 1966
.
-
R. J. King and W. I. Tsukamoto, "Groundwave propagation across semi-infinite strips and island on a flat earth", Radio Sci., vol. 1, no.
7, pp. 775-788, 1966.
-
E. C. Field Jr., "Low-frequency groundwave propagation over narrow terrain features", IEEE Trans. Antennas Propagat., vol. AP-30, pp. 831-836, Sept. 1982.
-
R. J. King, S. W. Maley and J. R. Wait, "Experimental and theoretical studies of propagation
of groundwave across mixed-paths,"in Electromagnetic Wave Theory, J. Brown, Ed. New York: Pergamon, 1967, pp. 217-224.
-
S. Christiansen and T. Larsen, "Numerical application of the compensation theorem to mixed-path propagation problems", Radio Sci., vol. 2, no.
12, pp. 1471-1479, 1967.
-
J. R. Wait and K. P. Spies, "Integral equation approach to the radiation from a vertical antenna over an inhomogeneous ground plane", Radio Sci.
, vol. 5, pp. 73-79, 1970.
-
G. de Jong, "Electromagnetic wave propagation over an inhomogeneous flat earth: Two-dimensional integral equation formulation",
Radio Sci., vol. 10, no. 11, pp. 925-933, 1975.
-
D. A. Hill and J. R. Wait, "HF radio wave transmission over sea ice and remote sensing possibilities", IEEE Trans. Geosci. Remote Sensing, vol. GRS-19, pp. 204-209, Oct. 1981.
-
M. Yamashita and K. Taguchi, "Phase disturbance of 100-kHz groundwaves by a circular island in the open sea", IEEE J. Oceanic Eng., vol. OE-6, pp. 26-31, Jan. 1981.
-
G. A. Hufford, "An integral equation approach to the problem of wave propagation over an irregular surface", Q. J. Appl. Math., vol. 9, no.
4, pp. 391-404, 1952.
-
R. H. Ott, "An alternative integral equation for propagation over irregular terrain-Part 2", Radio Sci., vol. 5, no.
5, pp. 767-771, 1970.
-
R. H. Ott and L. A. Berry, "An alternative integral equation for propagation over irregular terrain-Part 2", Radio Sci., vol. 6, no.
4, pp. 429-435, 1971.
-
R. H. Ott, "RING: An integral equation algorithm for HF-VHF radio wave propagation over irregular, inhomogeneous terrain", Radio Sci.
, vol. 27, no. 6, pp. 867-882, 1992.
-
Z. Wu, T. S. M. Maclean, D. J. Bagwell and M. J. Mehler, "Propagation over an inhomogeneous irregular surface", Radio Sci., vol. 23, no. 1, pp. 33-40, 1988.
-
Z. Wu, T. S. M. Maclean, D. J. Bagwell and M. J. Mehler, "Radiowave propagation in the presence of finite width knife-edges", Radio Sci., vol. 24, no.
3, pp. 361-368, 1989.
-
G. D. Monteath, Application of Electromagnetic Reciprocity Principle, New York: Pergamon, 1973.
-
R. Mittra, "A vector form of compensation theorem and its application to boundary value problems", Appl. Sci. Res. B, vol. 11, pp. 26-42, 1964
.
-
J. A. Stratton, Electromagnetic Theory,
New York: McGraw-Hill, 1941.
-
A. Ishimaru,
Electromagnetic Wave Propagation, Radiation, and Scattering, Englewood Cliffs, NJ: Prentice-Hall,
1991, pp. 144-146, 565-566.
-
A. C. Kak and M. Slaney,
Computerised Tomographic Imaging,
New York: IEEE Press, 1988.
-
J. C. Bolomey and C. Pichot, "Microwave tomography: From theory to practical imaging system", Int. J. Imaging Syst. Technol., vol. 2, pp. 144-156,
1990.
-
T. S. M. Maclean and Z. Wu, Radiowave Propagation Over Ground, London: U.K.: Chapman Hall, 1993.
-
Z. Wu and T. S. M. Maclean, Radiowave Propagation Over Ground Software, London: U.K.: Chapman
Hall, 1998.
-
J. H. Richmond, "Scattering by a dielectric cylinder of arbitrary cross section shape", IEEE Trans. Antennas Propagat., vol. AP-13, pp. 334-341,
May 1965.
-
R. F. Harrington, Time-Harmonic Electromagnetic Fields, New York: McGraw-Hill, 1961, pp. 289-292
.
-
P. Neittaanmaki, M. Rudnicki and A. Savini, Inverse Problems and Optimal Design in Electricity and Magnetism, Oxford: U.K.: Clarendon Press, 1996.
-
W. H. Press, S. A. Teukolsky, W. T. Vetterling and B. P. Flannery, Numerical Recipes in C, 2nd
ed. Cambridge: U.K.: Cambridge
Univ. Press, 1992.