volume | PIER Journals

Abstract

A problem of electromagnetic waves radiation by an impedance vibrator located over finite-dimensional perfectly conducting screen is solved. The vibrator may have surface impedance distributed over its length. The solution is derived using asymptotic expressions for the current in a horizontal impedance vibrator placed over an infinite plane, obtained by averaging method. The problem was solved provided that the diffracted fields from the edges of the screen have little effect on the vibrator current amplitude, i.e. if the screen dimensions are comparable to or larger than the wavelength. Full radiation fields in all observation space in the far zone were found by the uniform geometrical theory of diffraction. The vibrator dimensions, value and type of surface impedance, removing from the screen and screen sizes were used as parameters. The multivariable electrodynamic characteristics of the resonant impedance vibrators placed above an infinite plane and square screen were studied. Characteristics dependences upon the vibrator dimensions, value and type of the surface impedance, removing from the screen, and screen dimensions were obtained.

1. Keller, J. B., "Diffraction by aperture," J. Appl. Phys., Vol. 28, 570-579, 1957.
doi:10.1063/1.1722805 Google Scholar

2. Keller, J. B., "Geometrical theory of diffraction," J. Opt. Soc. of Amer., Vol. 52, 116-130, 1962.
doi:10.1364/JOSA.52.000116 Google Scholar

3. Tsai, L. L., D. R. Wilton, M. G. Harrison, and E. H. Wright, "A comparison of geometrical theory of diffraction and integral equation formulation for analysis of reflector antennas," IEEE Trans. Antennas and Propagat., Vol. 20, 705-712, 1972.
doi:10.1109/TAP.1972.1140326 Google Scholar

4. Kouyoumjian, R. G. and P. H. Pathak, "A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface," Proceedings of the IEEE, Vol. 62, 1448-1461, 1974.
doi:10.1109/PROC.1974.9651 Google Scholar

5. Pathak, P. H., "High frequency techniques for antenna analysis," Proceedings of the IEEE, Vol. 80, No. 1, 44-65, 1992.
doi:10.1109/5.119566 Google Scholar

6. Yeliseyeva, N. P. and N. N. Gorobets, Diffraction of Radiation of the Wire Antenna on the Rectangular and Corner Screens, V. N. Karazin Kharkiv National University, 2009 (in Russian).

7. Gorobets, N. N. and N. P. Yeliseyeva, "Polarization effects caused by diffraction of the radiated of an arbitrarily oriented electric dipole at the edge of a perfectly conducting half plane," Journal of Communication Technology and Electronics, Vol. 51, 147-157, 2006.
doi:10.1134/S1064226906020033 Google Scholar

8. Gorobets, N. N., N. P. Yeliseyeva, and Ye. A. Antonenko, "Optimization of radiation characteristics of wire-screened antennas," Telecommunications and Radio Engineering, Vol. 71, 59-69, 2012.
doi:10.1615/TelecomRadEng.v71.i1.60 Google Scholar

9. Nesterenko, M. V., "Analytical methods in the theory of thin impedance vibrators," Progress In Electromagnetics Research B, Vol. 21, 299-328, 2010. Google Scholar

10. Nesterenko, M. V., V. A. Katrich, Y. M. Penkin, V. M. Dakhov, and S. L. Berdnik, Thin Impedance Vibrators. Theory and Applications, Springer Science+Business Media, 2011.
doi:10.1007/978-1-4419-7850-9

11. Yeliseyeva, N. P., "The input impedance of an arbitrarily oriented electric dipole located over a rectangular screen. Part 1 --- The method of calculation," Radioelectronics and Communications Systems, Vol. 48, No. 11, 4-13, 2005. Google Scholar

12. Yeliseyeva, N. P., "The input impedance of an arbitrarily oriented electric dipole located over a rectangular screen. Part 2 --- The calculation results," Radioelectronics and Communications Systems, Vol. 48, No. 12, 1-4, 2005. Google Scholar

13. Gorobets, N. N. and N. P. Yeliseyeva, "Metallic shield influence on the resonant length of a wire antenna," Telecommunications and Radio Engineering, Vol. 69, 1137-1152, 2010.
doi:10.1615/TelecomRadEng.v69.i13.20 Google Scholar

14. Khizhnyak, N. A., Integral Equations of Macroscopical Electrodynamics, Naukova Dumka, 1986 (in Russian).

15. Morse, P. M. and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, 1953.

16. Nesterenko, M. V., D. Yu. Penkin, V. A. Katrich, and V. 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 Google Scholar

17. King, R. W. P., The Theory of Linear Antennas, Harv. Univ. Press, 1956.
doi:10.4159/harvard.9780674182189

18. Vandakurov, Yu. V., "Diffraction of electromagnetic waves radiated by arbitrarily oriented electric or magnetic dipole over the perfectly conducting half-plane," J. Exp. Theor. Phys., Vol. 26, No. 1, 13-18, 1954 (in Russian). Google Scholar

Dr. Nadezhda P. Yeliseyeva

Dr. Sergey L. Berdnik

Dr. Victor A. Katrich

Dr. Mikhail Nesterenko