This paper presents the study of an artificial material, made up of a periodic structure, defined by a unit cell, consisting of a finite number N of periodic layers of thin conducting cylinders placed between two dielectric planes. These artificial materials known as metamaterials can be regarded as a homogeneous material with effective constitutive parameters impossible to achieve with naturally occurring materials, such as negative values for both magnetic permeability and electric permittivity. An analytical model has been developed to study the effective electric permittivity of the whole system in terms of the unit cell dimensions and the frequency of the incident electromagnetic wave. Simulations of the effective electric permittivity of the metamaterial were performed by varying the geometry of the metamaterial. This analysis enables the design and construction of structures with properties that make them an attractive candidate for shielding applications in the range of microwave frequencies. The metamaterial has been constructed with four rows of 5 bronze conducting rods each. We have made experimental measurements of the shielding effectiveness of these materials when subjected to a electromagnetic plane wave with electric field polarized along the direction of the conducting rods, and conversely, with electric field polarized perpendicular to the rods. Non-zero values for shielding effectiveness were observed in the first polarization, and zero values in the second case.
1. Engheta, N., Metamaterials Physics and Engineering Explorations, IEEE Press, USA, 2006.
2. Caloz, C. and T. Itoh, Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications, Published by John Wiley and Sons, Inc., Hoboken, New Jersey, 2006.
3. Pendry, J. B., "Metamaterials and the control of electromagnetic fields," Conference on Coherence and Quantum Optics, OSA Technical Digest (CD), Optical Society of America,2007.
4. Kock, W. E., "Radio lenses," Bell Lab. Rec., Vol. 24, 177-216, 1946.
5. Collin, R., Field Theory of Guided Waves, McGraw Hill, USA, 1960.
6., Veselago and V. G., "The electrodynamics of substances with simultaneously negative values of E and p," Sov. Phys. Usp., Vol. 10, No. 4, 509-514, 1967.
7. Maslovski, S. I., S. A. Tretyakov, and P. A. Belov, "Wire media with negative effective permittivity a quasi-static model," Modelmicrowave and Optical Technology and Optical Letters, Vol. 35, No. 1, p´aginas, Oct. 5, 2000.
8. Pendry, J. B., A. J. Holden, D. J. Ronbinson, and W. J. Stewart, "Magnetism from conductors and Enhanced Nonlinear Phenomena," IEEE Trans. on MTT, Vol. 47, 11, p´aginas, Feb. 1999.
9. Casey, K. F., "Electromagnetic shielding behavior of wire-mesh screens," IEEE Transactions on Electromagnetic Compatibility, Vol. 30, No. 3, Aug. 1988. doi:10.1109/15.3309
10. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C: The Art of Scientific Computing, Cambridge University Press, 1992.
11. Surhone, L. M., M. T. Timpledon, and S. F. Marseken Savitzky-Golay, Savitzky-Golay Smoothing Filter, 116 pages, VDM Publishing, Aug. 10, 2010.
12. Rahman, M. and M. A. Stuchly, "Transmission line periodic circuit representation of planar microwave photonic bandgap structures," Microwave and Optical Tech. Lett., Vol. 30, No. 1, 15-19, 2001. doi:10.1002/mop.1207
13. Lovat, G., P. Burghiognoli, and S. Celozzi, "Shielding properties of a wire medium screen," IEEE Trans. on EMC, Vol. 50, 1, paginas, Feb. 2008.
14. Yang, F. and Y. Rahmat-Samii, Electromagnetic Band Gap Structures in Antenna Engineering, Cambridge University Press, UK, 2009.
15. Eleftheriades, G. V. and K. G. Balmain, Negative-Refraction Metamaterials Fundamental Principles and Applications, IEEE Press, USA, 2005. doi:10.1002/0471744751
16. Boggi, S., A. Kieselewsky, and W. G. Fano, "A model for the effective dielectric permittivity of Metamaterials," Proceedings of RPIC-IEEE 2015 Symposium, Oct. 2015.
17. Boggi, S., R. Alonso, and W. G. Fano, "Eficiencia de blindaje de nuevos materiales," Proceedings of IEEE Biennial Congress of Argentina (ARGENCON), 1-5, 2016.
18. Clayton, P. R., Introduction to Electromagnetic Compatibility, 2nd Ed., Wiley Interscience, Jan. 2006.
19. Trainotti, V., W. G. Fano, and L. A. Dorado, Ingenieria Electromagnetica Tomo I, Editorial Nueva Libreria, Buenos Aires, Arg., 2003.
20. Jordan, E. J., Electromagnetic Waves and Radiating Systems, Wiley, USA, 1950.
21. Trainotti, V., W. G. Fano, and L. A. Dorado, Ingenieria Electromagnetica Tomo II, Editorial Nueva Libreria, Buenos Aires, Arg., 2005.
22. Pozar, D. M., Microwave Engineering, 4th Ed., Wiley, USA, 2011.
23. Schelkunoff, S. A., Electromagnetics Wave, Van Nostrand Company, USA, Apr. 1943.
24. Balanis, C. A., Antenna Theory: Annalysis and Design, Wiley, 2005.
25. IEEE Standard Method for Measuring the effectiveness, IEEE-Std-299-1997,.
26. Wilson, P. F., "Techniques for measuring the electromagnetic shielding effectiveness of materials: Part I: Far field source simulation," IEEE Transactions on Electromagnetic Compatibility, Vol. 30, No. 3, Aug. 1988.