Time domain analysis of thin‐wire antennas over lossy ground using the reflection‐coefficient approximation

This paper presents a procedure to extend the methods of moments in time domain for the transient analysis of thin-wire antennas to include those cases where the antennas are located over a lossy half-space. This extended technique is based on the reflection coefficient (RC) approach, which approximates the fields incident on the ground interface as plane waves and calculates the time domain RC using the inverse Fourier transform of Fresnel equations. The implementation presented in this paper uses general expressions for the RC which extend its range of applicability to lossy grounds, and is proven to be accurate and fast for antennas located not too near to the ground. The resulting general purpose procedure, able to treat arbitrarily oriented thin-wire antennas, is appropriate for all kind of half-spaces, including lossy cases, and it has turned out to be as computationally fast solving the problem of an arbitrary ground as dealing with a perfect electric conductor ground plane. Results show a numerical validation of the method for different half-spaces, paying special attention to the influence of the antenna to ground distance in the accuracy of the results.

[1]  E.J. Rothwell Efficient computation of the time-domain TM plane-wave reflection coefficient , 2005, IEEE Transactions on Antennas and Propagation.

[2]  Transient excitation of a layered dielectric medium by a pulsed electric dipole , 2000 .

[3]  Ben K. Sternberg,et al.  Electrical parameters of soils in the frequency range from 1 kHz to 1 GHz, using lumped‐circuit methods , 2001 .

[4]  H. J. Frankena,et al.  Radiation of pulses generated by a vertical electric dipole above a plane, non-conducting, earth , 1960 .

[5]  Amelia Rubio Bretones,et al.  Transient excitation of two coupled wires over an interface between two dielectric half spaces , 1997 .

[6]  E. K. Miller,et al.  Time-domain modeling in electromagnetics , 1994 .

[7]  R. Mittra,et al.  Wire antennas over a lossy half-space , 1980 .

[8]  C. Balanis Advanced Engineering Electromagnetics , 1989 .

[9]  Weng Cho Chew,et al.  Modeling of arbitrary wire antennas above ground , 2000, IEEE Trans. Geosci. Remote. Sens..

[10]  H. Frankena Transient phenomena associated with sommerfeld’s horizontal dipole problem , 1960 .

[11]  Magdy F. Iskander,et al.  Computational techniques in bioelectromagnetics , 1991 .

[12]  Dragan Poljak,et al.  Advanced Modeling in Computational Electromagnetic Compatibility , 2007 .

[13]  On the Direct Computation of the Time-Domain Plane-Wave Reflection Coefficients , 2009 .

[14]  Tapan K. Sarkar,et al.  ANALYSIS OF ARBITRARILY ORIENTED THIN WIRE ANTENNAS OVER A PLANE IMPERFECT GROUND. , 1977 .

[15]  Amelia Rubio Bretones,et al.  Transient excitation of a straight thin wire segment over an interface between two dielectric half spaces , 1995 .

[16]  E. Miller,et al.  Direct time-domain techniques for transient radiation and scattering from wires , 1980, Proceedings of the IEEE.

[17]  Weng Cho Chew,et al.  Accurate model of arbitrary wire antennas in free space, above or inside ground , 2000 .

[18]  P. Barnes,et al.  On the direct calculation of a transient plane wave reflected from a finitely conducting half space , 1991 .

[19]  E. K. Miller,et al.  An integro-differential equation technique for the time-domain analysis of thin-wire structures. II. Numerical results , 1973 .

[20]  L. Peters,et al.  Ground penetrating radar as a subsurface environmental sensing tool , 1994, Proc. IEEE.

[21]  H. J. Hagger,et al.  Electromagnetic Waves in Stratified Media , 1996 .

[22]  R. J. Lytle,et al.  Fortran subroutines for the numerical evaluation of Sommerfeld integrals unter anderem. [WF-LLL2A and subroutines, in FORTRAN IV for CDC 7600] , 1975 .

[23]  Alfonso Salinas,et al.  DOTIG1, A TIME‐DOMAIN NUMERICAL CODE FOR THE STUDY OF THE INTERACTION OF ELECTROMAGNETIC PULSES WITH THIN‐WIRE STRUCTURES , 1989 .

[24]  Andrew J. Poggio,et al.  Numerical Electromagnetic Code (NEC) , 1979, 1979 IEEE International Symposium on Electromagnetic Compatibility.

[25]  E. Miller,et al.  COMPUTER MODELING OF ANTENNAS NEAR THE GROUND , 1981 .

[26]  S. Vossen A two-wire antenna system for detecting objects in a homogeneous dielectric half space , 2003 .

[27]  A.G. Yarovoy,et al.  Ground influence on the input impedance of transient dipole and bow-tie antennas , 2004, IEEE Transactions on Antennas and Propagation.

[28]  A. Sommerfeld Partial Differential Equations in Physics , 1949 .

[29]  G. Burke,et al.  Modeling antennas near to and penetrating a lossy interface , 1984 .

[30]  W. D. Evans,et al.  PARTIAL DIFFERENTIAL EQUATIONS , 1941 .

[31]  Raj Mittra,et al.  Loaded horizontal antenna over an imperfect ground , 1978 .

[32]  Transient Analysis of Tm-Plane Wave Reflection From a Layered Medium , 2002 .

[33]  D. Poljak,et al.  Transient analysis of two coupled horizontal wires over a real ground , 2000 .

[34]  A comparative numerical study of several techniques for modeling a horizontal wire antenna over a lossy half‐space , 1987 .

[35]  Andrew J. Poggio,et al.  Analysis of Wire Antennas in the Presence of a Conducting Half-Space. Part II. The Horizontal Antenna in Free Space , 1972 .

[36]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .