2010-01-01
Equation Solution for the Current in Radial Impedance Monopole on the Perfectly Conducting Sphere
By
Progress In Electromagnetics Research B, Vol. 19, 95-114, 2010
Abstract
The problem about the electrical current distribution along thin radial impedance monopole, located on the perfectly conducting sphere, has been solved in a rigorous electrodynamic formulation in the paper. The problem formulation strictness is provided by the use of the Green's function for the Hertz's vector potential for unbounded space outside the perfectly conducting sphere at formulation of the initial integral equation concerning the current in monopole. The approximate analytical solution of the integral equation has been obtained by the method of iterations both for the case of excitation of the monopole by the δ-generator of voltage, located on the finite distance over the spherical scatterer, and at the excitation of the monopole at its basis.
Citation
Mikhail Nesterenko, Dmitriy Yu. Penkin, Victor A. Katrich, and Victor M. Dakhov, "Equation Solution for the Current in Radial Impedance Monopole on the Perfectly Conducting Sphere," Progress In Electromagnetics Research B, Vol. 19, 95-114, 2010.
doi:10.2528/PIERB09111105
References

1. Yin, W. Y., G. H. Nan, and I. Wolff, "The near and far field distributions of a thin circular loop antenna in a radially multilayered biisotropic sphere," Progress In Electromagnetics Research, Vol. 21, 103-135, 1999.
doi:10.2528/PIER98042701        Google Scholar

2. Vafeas, P., G. Perrusson, and D. Lesselier, "Low-frequency solution for a perfectly conducting sphere in a conductive medium with dipolar excitation," Progress In Electromagnetics Research, Vol. 49, 87-111, 2004.
doi:10.2528/PIER04021905        Google Scholar

3. Valagiannopoulos, C. A., "Single-series solution to the radiation of loop antenna in the presence conducting sphere," Progress In Electromagnetics Research, Vol. 71, 277-294, 2007.
doi:10.2528/PIER07030803        Google Scholar

4. Kouveliotis, N. K. and C. N. Capsalis, "Prediction of the SAR level induced in a dielectric sphere by a thin wire dipole antenna," Progress In Electromagnetics Research, Vol. 80, 321-336, 2008.
doi:10.2528/PIER07112804        Google Scholar

5. Inagaki, N., O. Kukino, and T. Sekiguchi, "Integrated equation analysis of cylindrical antennas characterized by arbitrary surface impedance," IEICE Trans. Commun., Vol. 55-B, 683-690, 1972.        Google Scholar

6. Andersen, L. S., O. Breinbjerg, and J. T. Moore, "The standard impedance boundary condition model for coated conductors with edges: A numerical investigation of the accuracy for transverse magnetic polarization," Journal of Electromagnetic Waves and Applications, Vol. 12, No. 4, 415-446, 1998.
doi:10.1163/156939398X00863        Google Scholar

7. Galdi, V. and I. M. Pinto, "SDRA approach for higher-order impedance boundary conditions for complex multi-layer coatings on curved conducting bodies," Journal of Electromagnetic Waves and Applications, Vol. 13, No. 12, 1629-1630, 1999.
doi:10.1163/156939399X00033        Google Scholar

8. Ikiz, T., S. Koshikawa, K. Kobayashi, E. I. Veliev, and A. H. Serbest, "Solution of the plane wave diffraction problem by an impedance strip using a numerical-analytical method: E-polarized case ," Journal of Electromagnetic Waves and Applications, Vol. 15, No. 3, 315-340, 2001.
doi:10.1163/156939301X00481        Google Scholar

9. Nesterenko, M. V., "The electomagnetic wave radiation from a thin impedance dipole in a lossy homogeneous isotropic medium," Telecommunications and Radio Engineering, Vol. 61, 840-853, 2004.
doi:10.1615/TelecomRadEng.v61.i10.40        Google Scholar

10. Arnold, M. D., "An effcient solution for scattering by a perfectly conducting strip grating," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 7, 891-900, 2006.
doi:10.1163/156939306776149905        Google Scholar

11. Collard, B., M. B. Fares, and B. Souny, "A new formulation for scattering by impedant 3D bodies," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 10, 1291-1298, 2006.
doi:10.1163/156939306779276785        Google Scholar

12. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1853-1860, 2006.
doi:10.1163/156939306779292219        Google Scholar

13. Nesterenko, M. V., V. A. Katrich, V. M. Dakhov, and S. L. Berdnik, "Impedance vibrator with arbitrary point of excitation," Progress In Electromagnetics Research B, Vol. 5, 275-290, 2008.
doi:10.2528/PIERB08022805        Google Scholar

14. Wu, J.-J. and T. J. Yang, "Subwavelength microwave guiding by a periodically corrugated metal wire," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 10, 11-19, 2009.
doi:10.1163/156939309787604616        Google Scholar

15. Penkin, Y. M. and V. A. Katrich, "Excitation of Electromagnetic Waves in the Volumes with Coordinate Boundaries," Fakt, Kharkov, 2003 (in Russian).        Google Scholar

16. Belkina, M. G. and L. A. Weinstein, "The Characteristics of Radiation of Spherical Surface Antennas. Diffraction of Electromagnetic Waves on Some Bodies of Rotation," Soviet radio, Moscow, 1957 (in Russian).        Google Scholar

17. Resnikov, G. B., Antennas of Flying Vehicles, Soviet radio, Moscow, 1967 (in Russian)..

18. King, R. W. P. and T. Wu, "The imperfectly conducting cylindrical transmitting antenna," IEEE Trans. Antennas and Propagat., Vol. 14, 524-534, 1966.
doi:10.1109/TAP.1966.1138733        Google Scholar

19. Abramowits, M. and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series-55, 1964.