volume | PIER Journals

Abstract

The metamaterial slab with low refractive index exhibits directive properties which make it suitable to work as antenna. The characteristics of such a device are affected under the presence of a conducting rod of arbitrary shape placed over the slab. A qualitative and quantitative approach is presented which is possible by implementing the method of auxiliary sources. For the evaluation of the far field quantities the method of stationary phase is employed. A validation example considering a circular rod is solved rigorously with use of the method of moments. Several numerical results are shown and discussed.

1. Antoniades, M. and G. Eleftheriades, "A broadband Wilkinson balun using microstrip metamaterial lines," IEEE Antennas Wireless Propag. Lett., Vol. 4, 209-212, 2005.
doi:10.1109/LAWP.2005.851005 Google Scholar

2. Mahmoud, S., "A new miniaturized annular ring patch resonator partially loaded by a metamaterial ring with negative permeability and permittivity," IEEE Antennas Wireless Propag. Lett., Vol. 3, No. 10, 19-22, 2004.
doi:10.1109/LAWP.2004.825092 Google Scholar

3. Alu, A. and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E, Vol. 72, 016623, 2005.
doi:10.1103/PhysRevE.72.016623 Google Scholar

4. Baccarelli, P., P. Burghignoli, G. Lovat, and S. Paulotto, "Surface-wave suppression in a double-negative metamaterial grounded slab," IEEE Antennas Wireless Propag. Lett., Vol. 2, 269-272, 2003.
doi:10.1109/LAWP.2003.819679 Google Scholar

5. Baccarelli, P., P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, "Fundamental modal properties of surface waves on metamaterial grounded slabs," IEEE Trans. Microw. Theory Tech., Vol. 53, No. 4, 1431-1442, 2005.
doi:10.1109/TMTT.2005.845208 Google Scholar

6. Li, C., Q. Sui, and F. Li, "Complex guided wave solution of grounded dielectric slab made of metamaterials," Progress In Electromagnetics Research, Vol. 66, 239-251, 2006.
doi:10.2528/PIER06113001 Google Scholar

7. Ubeda, E., J. Rius, and J. Romeu, "Preconditioning techniques in the analysis of finite metamaterial slabs," IEEE Trans. Antennas Propag., Vol. 54, No. 1, 265-268, 2006.
doi:10.1109/TAP.2005.861508 Google Scholar

8. Parazzoli, C. G., R. B. Greegor, K. Li, B. E. C. Koltenbah, and M. Tanielian, "Experimental verification and simulation of negative index of refraction using Snell's law," Phys. Rev. Lett., Vol. 90, 107401, 2003.
doi:10.1103/PhysRevLett.90.107401 Google Scholar

9. Lovat, G., P. Burghignoli, F. Capolino, D. Jackson, and D. Wilton, "Analysis of directive radiation from a line source in a metamaterial slab with low permittivity," IEEE Trans. Antennas Propag., Vol. 54, No. 3, 1017-1030, 2006.
doi:10.1109/TAP.2006.869925 Google Scholar

10. Wu, B., W. Wang, J. Pacheco, X. Chen, T. Grzegorczyk, and J. A. Kong, "A study of using metamaterials as antenna substrate to enhance gain," Progress In Electromagnetics Research, Vol. 51, 295-328, 2005.
doi:10.2528/PIER04070701 Google Scholar

11. Pacheco, J., "Theory and application of left-handed metamaterials," 181-216, 181-216, 2004. Google Scholar

12. Wang, W., "Directive antenna using metamaterial substrates," 17-36, 17-36, 2004. Google Scholar

13. Weng, Z.-B., Y.-C. Jiao, and F.-S. Zhang, "Design and experiment of one dimension and two dimension metamaterial structures for directive emission," Progress In Electromagnetics Research, Vol. 70, 199-209, 2007.
doi:10.2528/PIER07010301 Google Scholar

14. Zitron, N. and J. Davis, "Scattering of directed radiation by a cylinder," Journal Applied Scientific Research, Vol. 18, No. 1, 280-287, 1968.
doi:10.1007/BF00382353 Google Scholar

15. Felsen, L. and N. Marcuvitz, Radiation and Scattering of Waves, 485-487, 485-487, 1994.

16. Valagiannopoulos, C. A., "Arbitrary currents on circular cylinder with inhomogeneous cladding and RCS optimization," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 5, 665-680. Google Scholar

17. Pinto, I., V. Galdi, and L. Felsen, Electromagnetics in a Complex World: Challenges and Perspectives, 155-157, 155-157, 2004.

18. Schevchenko, V., Continuous Transitions in Open Waveguides, 24-26, 24-26, 1971.

19. Leviatan, Y. and A. Boag, "Analysis of electromagnetic scattering from dielectric cylinders using a multifilament current model," IEEE Trans. Antennas Propag., Vol. 35, No. 10, 1119-1128, 1987.
doi:10.1109/TAP.1987.1143994 Google Scholar

20. Leviatan, Y., P. Li, A. Adams, and J. Perini, "Single-post inductive obstacle in rectangular waveguide," IEEE Trans. Microw. Theory Tech., Vol. 31, No. 10, 806-812, 1983.
doi:10.1109/TMTT.1983.1131610 Google Scholar

21. Leviatan, Y. and A. Boag, "Analysis of electromagnetic scattering from dielectrically coated conducting cylinders using a multifilament current model," IEEE Trans. Antennas Propagat., Vol. 36, No. 11, 1602-1607, 1988.
doi:10.1109/8.9711 Google Scholar

22. Karkashadze, D., "On Status of main singularities in 3D scattering problems," Proceedings of VIth International Seminar/Workshop on DIPED-2001, 81-84, 2001.

23. Stewart, J., Calculus, 575-581, 575-581, 1999.

24. Fikioris, G., "On two types of convergence in the method of auxiliary sources," IEEE Trans. Antennas Propagat., Vol. 54, No. 7, 2022-2033, 2006.
doi:10.1109/TAP.2006.877171 Google Scholar

25. Erdelyi, A., Asymptotic Expansions, 50-52, 50-52, 1956.

26. Li, L., D. You, M. Leong, and T. Yeo, "Electromagnetic scattering by multilayered chiral-media structures: a scattering radiation transform," Progress In Electromagnetic Research, Vol. 26, 249-291, 2000.
doi:10.2528/PIER99080101 Google Scholar

27. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions, 362-364, 362-364, 1964.

28. Hildebrand, F., Advanced Calculus for Applications, 549-551, 549-551 Prentice Hall, 1976.

29. Jones, D., Theory of Electromagnetism, 269-271, 269-271, 1964.

30. Collin, R., Field Theory of Guided Waves, 730-732, 730-732, 1991.

Prof. Constantinos Valagiannopoulos