Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
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By A. Semichaevsky and A. Akyurtlu

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This article deals with an approach to the design of planar antennas that use metamaterial-loaded substrates based on the effective medium approximations. Metamaterials are structured composite materials with unique electromagnetic properties due to the interaction of electromagnetic waves with the finer scale periodicity of conventional materials. They may be used to modify the effective electromagnetic parameters of planar antenna substrates and to design antennas with the improved coupling to the feed, increased impedance matching bandwidths, miniaturized dimensions, and narrower beamwidths compared to those that use conventional dielectric materials for the same purposes. The electromagnetic analysis and optimization based on the effective medium approximations of metamaterials is very convenient since it deals with only a few bulk medium parameters instead of a large number of parameters describing a discrete structure. At the same time, the most common way of obtaining these effective medium parameters is transmission/reflection simulations or measurements in free space or in a homogeneous background medium. For a host medium which is not homogeneous, as for a grounded substrate, the effective medium parameters are different from the free space ones. The scattering losses in a metamaterial medium need to be accurately taken into account and included as parameters in full-wave bulk medium models. For this reason, in the effective medium approach for antenna substrates, one needs to use the appropriate effective medium approximations that take the coupling between inclusions into account and also to evaluate the effects of the scattering losses. In practice, this is done by finding the effective medium parameters inside an arbitrary substrate medium, and not in a homogeneous host medium or in free space. This paper presents the methodology and the results of FDTD analysis of planar antennas that have substrates with various metamaterial inclusion densities. The effective bulk medium approach presented in the article is analyzed by comparing the antenna return losses and radiation patterns to the ones computed for a discrete structure. The Green's function of the host medium (antenna substrate) is used to calculate the approximate bulk effective medium parameters of the MTM-loaded substrate.

Citation: (See works that cites this article)
A. Semichaevsky and A. Akyurtlu, "Homogenization of Metamaterial-Loaded Substrates and Superstrates for Antennas," Progress In Electromagnetics Research, Vol. 71, 129-147, 2007.

1. Ikonen, P., M. Karkkainen, and S. Tretyakov, Experimental study of a λ/2-patch antenna loaded with an array of metasolenoids as artificial magnetic substrate, IEEE Antennas and Propagation Society International Symposium, Vol. 2A, 3-8, 2005.

2. Ikonen, P., S. Maslovski, and S. Tretyakov, "PIFA loaded with artificial magnetic material: Practical example for two utilization strategies," Microwave and Optical Technology Letters, Vol. 46, No. 3, 205-210, 2005.

3. Wu, B.-I., 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.

4. Xu, W., L. W. Li, H. Y. Yao, T. S. Yeo, and Q. Wu, "Lefthanded material effects on waves modes and resonant frequencies: filled waveguide structures and substrate-loaded patch antennas," Journal ofEle ctromagnetic Waves and Applications, Vol. 19, No. 15, 2033-2047, 2005.

5. Kiziltas, G., Y. Koh, J. L. Volakis, N. Kikuchi, and J. Halloran, Optimum design and fabrication of volumetric graded substrate for a broad band miniature antenna, IEEE Antennas and Propagation Society International Symposium, Vol. 1, 485-488, 2003.

6. Lee, Y., H. Yang, and C. Parini, Applications of Electromagnetic Bandgap (EBG) structures for novel communication antenna designs, 36th European Microwave Conference, No. 9, 1056-1059, 2006.

7. Mosallaei, H. and K. Sarabandi, "Design and modeling of patch antenna printed on magneto-dielectric embedded-circuit metasubstrate," IEEE Trans. on Antennas and Propagat., Vol. 55, No. 1, 45-52, 2007.

8. Xu, W., L. W Li, H. Y. Yao, T. S. Yeo, and Q. Wu, "Extraction of constitutive relation tensor parameters of SRR Structures using transmission line theory," Journal ofEle ctromagnetic Waves and Applications, Vol. 20, No. 1, 13-25, 2006.

9. Weiglhofer, W. and A. Lakhtakia, Introduction to Complex Mediums for Optics and Electromagnetics, SPIE Press, 2003.

10. Caloz, B., A. Lai, and T. Itoh, "The challenge of homogenization in metamaterials," New Journal ofPhysics, Vol. 7, 1-15, 2005.

11. Silveirinha, M. G., "Additional boundary condition for the wire medium," IEEE Trans on Antennas and Propagat., Vol. 54, No. 6, 1766-1780, 2006.

12. Simovski, C. R., I. Kolmakov, and S. A. Tretyakov, Approaches to the homogenization of periodical metamaterials, International Conference on Mathematical Methods in Electromagnetic Theory, 26-29, 2006.

13. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett., Vol. 84, 4184-4188, 2000.

14. Saadoun, M. M. and N. Engheta, The pseudochiral Ω-medium: what is it? And what can it be used for?'' IEEE Antennas and Propagation Society International Symposium, ``The pseudochiral Ω-medium: what is it? And what can it be used for? IEEE Antennas and Propagation Society International Symposium, Vol. 4, 18-25, 1992.

15. Ishimaru, A., S.-W. Lee, Y. Kuga, and V. Jandhyala, "Generalized constitutive relations for metamaterials based on the quasi-static Lorentz theory," IEEE Trans. on Antennas and Propagat., Vol. 51, No. 10, 2550-2557, 2003.

16. Jackson, D., Classical Electrodynamics, 2nd edition, John Wiley and Sons, Inc., 1975.

17. Born, M. and E. Wolf, Principles ofOptics, 7th edition, Cambridge University Press, 1999.

18. Marques, R., F. Mesa, J. Martel, and F. Medina, "Comparative analysis of edge-and broadside-coupled split ring resonators for metamaterial design — theory and experiments," IEEE Trans. on Antennas and Propagat., Vol. 51, No. 10, 2572-2581, 2003.

19. Weir, W. B., Automatic measurement of complex dielectric constant and permeability at microwave frequencies, Proceedings ofthe IEEE, Vol. 62, 33-36, 1974.

20. Balanis, C., Antenna Theory, Analysis and Design, Harper and Row, New York, 1983.

21. Pendry, J. B., "Magnetism from conductors and other nonlinear phenomena," IEEE Trans. on Microwave Theory and Tech., Vol. 47, No. 11, 2075-2084, 1999.

22. Best, S. R., "A Comparison of the resonant properties of small space-filling fractal antennas," IEEE Antennas and Wireless Propagat. Lett., Vol. 2, 197-200, 2003.

23. Best, S. R., "A discussion on the properties of electrically small self-resonant wire antennas," IEEE Antennas and Propagation Magazine, Vol. 46, No. 6, 9-22, 2004.

24. Pozar, D., Microwave Engineering, 3rd edition, Wiley, 2004.

25. Li, C., Q. Sui, and F. Li, "Complex guided wave solutions of grounded dielectric slab made of metamaterials," Progress In Electromagnetics Research, Vol. 51, 187-195, 2005.

26. Kelley, D. and R. Luebbers, "Piecewise linear recursive convolution for dispersive media using FDTD," IEEE Trans. on Antennas and Propagat., Vol. 44, No. 6, 792-798, 1996.

27. Schrank, H. and J. D. Mahony, "Approximations to the radiation resistance and directivity of circular-loop antennas," IEEE Antennas and Propagation Magazine, Vol. 36, No. 4, 52-55, 1994.

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