PIER M | |

Progress In Electromagnetics Research M | ISSN: 1937-8726 |

Home > Vol. 91 > pp. 135-142
## ON THE EM FIELD GENERATED IN THE AIR-SPACE BY A VERTICAL MAGNETIC DIPOLE SITUATED ON A PLANE CONDUCTING MEDIUMBy M. Salis and M. Muzi
Abstract:
This work presents a hybrid analytical-numerical approach to evaluate the integral representations for the time-harmonic electromagnetic (EM) field components produced in the air space by a vertical magnetic dipole (VMD) placed on a plane homogeneous conducting medium. Explicit expressions for the fields are derived by substituting a rational approximation, generated by the vector fitting algorithm, for the non-analytic part of the integrand of the electric vector potential. This permits to rewrite the representation for the electric vector potential as a combination of simple closed-contour integrals around the pole singularities of the rational approximation, which may be directly evaluated. As a result, each field component is given as a sum of cylindrical Hankel functions depending on the radial distance between source and field points, plus an exponential term that is a function of the total distance of the field point from the dipole.
2. Parise, M., "An exact series representation for the EM field from a circular loop antenna on a lossy half-space," 3. Farquharson, C. G., D. W. Oldenburg, and P. S. Routh, "Simultaneous 1D inversion of loop-loop electromagnetic data for magnetic susceptibility and electrical conductivity," 4. Parise, M., "Efficient computation of the surface fields of a horizontal magnetic dipole located at the air-ground interface," 5. Wait, J. R., "Mutual electromagnetic coupling of loops over a homogeneous ground," 6. Beard, L. P. and J. E. Nyquist, "Simultaneous inversion of airborne electromagnetic data for resistivity and magnetic permeability," 7. Spies, B. R. and F. C. Frischknecht, "Electromagnetic sounding," 8. Parise, M., "Exact EM field excited by a short horizontal wire antenna lying on a conducting soil," 9. Telford, W. M., L. P. Geldart, and R. E. Sheriff, 10. Palacky, G. J., "Resistivity characteristics of geologic targets," 11. Parise, M., "Full-wave analytical explicit expressions for the surface fields of an electrically large horizontal circular loop antenna placed on a layered ground," 12. Parise, M., "On the surface fields of a small circular loop antenna placed on plane stratified earth," 13. Singh, N. P. and T. Mogi, "Electromagnetic response of a large circular loop source on a layered earth: A new computation method," 14. Chew, W. C., 15. Parise, M. and G. Antonini, "On the inductive coupling between two parallel thin-wire circular loop antennas," 16. Wait, J. R., "Fields of a horizontal loop antenna over a layered half-space," 17. Parise, M., "A study on energetic efficiency of coil antennas used for RF diathermy," 18. Singh, N. P. and T. Mogi, "EMLCLLER-A program for computing the EM response of a large loop source over a layered earth model," 19. Parise, M., V. Tamburrelli, and G. Antonini, "Mutual impedance of thin-wire circular loops in near-surface applications," 20. Shastri, N. L. and H. P. Patra, "Multifrequency sounding results of laboratory simulated homogeneous and two-layer earth models," 21. Parise, M., "Fast computation of the forward solution in controlled-source electromagnetic sounding problems," 22. Kong, J. A., L. Tsang, and G. Simmons, "Geophysical subsurface probing with radio-frequency interferometry," 23. Singh, N. P. and T. Mogi, "Inversion of large loop transient electromagnetic data over layered earth models," 24. Parise, M., "On the use of cloverleaf coils to induce therapeutic heating in tissues," 25. Parise, M., "Improved Babylonian square root algorithm-based analytical expressions for the surface-to-surface solution to the Sommerfeld half-space problem," 26. Simons, N. R. S., A. Sebak, and G. E. Bridges, "Application of the TLM method to half-space and remote-sensing problems," 27. Singh, D., N. K. Choudhary, K. C. Tiwari, and R. Prasad, "Shape recognition of shallow buried metallic objects at x-band using ann and image analysis techniques," 28. Parise, M., "Quasi-static vertical magnetic field of a large horizontal circular loop located at the earth’s surface," 29. Ward, S. H. and G. W. Hohmann, "Electromagnetic theory for geophysical applications," 30. Kong, J. A., 31. Parise, M., "Second-order formulation for the quasi-static field from a vertical electric dipole on a lossy half-space," 32. Parise, M., "A highly accurate analytical solution for the surface fields of a short vertical wire antenna lying on a multilayer ground," 33. Parise, M., "An exact series representation for the EM field from a vertical electric dipole on an imperfectly conducting half-space," 34. Gustavsen, B. and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," |

© Copyright 2010 EMW Publishing. All Rights Reserved