Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 143 > pp. 349-368


By N. S. Nye, A. I. Dimitriadis, N. V. Kantartzis, and T. D. Tsiboukis

Full Article PDF (734 KB)

A systematic method for the efficient design of narrowband filters founded on the extraordinary transmission via single fishnet structures (SFSs) is presented in this paper.~Essentially, due to its strong resonant behavior, this phenomenon is proven suitable for the implementation of high-$Q$ devices.~The new design formulas are derived through the combination of full-wave numerical simulations and curve fitting algorithms. Also, adequate mathematical criteria are defined for the evaluation of the filters' linear performance, indicating that the transmitted electromagnetic waves remain practically undistorted in the frequency band of interest. Then, by exploiting the previously developed relations, proper correction factors are introduced in the existing SFS equivalent circuit expressions, which hardly increase the overall computational complexity. This quantitative modification leads to an enhanced characterization of SFSs, as key components for diverse applications. Finally, several limitations as well as possible ways of extending the featured algorithm to more complicated structures and higher frequency bands are briefly discussed.

N. S. Nye, A. I. Dimitriadis, N. V. Kantartzis, and T. D. Tsiboukis, "Enhanced Design of Narrowband Filters Based on the Extraordinary Transmission through Single Fishnet Structures," Progress In Electromagnetics Research, Vol. 143, 349-368, 2013.

1. Zhang, S., W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett., Vol. 95, 1-4, 2005.

2. Dolling, G., M. Wegener, C. M. Soukoulis, and S. Linden, "Design-related losses of double-fishnet negative-index photonic metamaterials," Opt. Express, Vol. 15, No. 18, 11536-11541, 2007.

3. Navarro-Cia, M., M. Beruete, F. Falcone, M. Sorolla Ayza, and I. Campillo, "Polarization-tunable negative/positive refraction in self-complementariness-based extraordinary transmission prism ," Progress In Electromagnetics Research, Vol. 103, 101-114, 2010.

4. Cao, T. and M. J. Cryan, "Modeling of optical trapping using double negative index fishnet metamaterials," Progress In Electromagnetics Research, Vol. 129, 33-49, 2012.

5. Guo, J., Y. Xiang, X. Dai, and S. Wen, "Enhanced nonlinearities in double-fishnet negative-index photonic metamaterials," Progress In Electromagnetics Research, Vol. 136, 269-282, 2013.

6. Mittra, R., C. H. Chan, and T. Cwik, "Techniques for analyzing frequency selective surfaces --- A review," Proc. IEEE, Vol. 76, No. 12, 1593-1615, 1988.

7. Munk, B. A., Frequency Selective Surfaces: Theory and Design, Wiley-Interscience, New York, 2000.

8. Navarro-Cia, M., M. Beruete, F. Falcone, J. Illescas, I. Campillo, and M. Sorolla Ayza, "Mastering the propagation through stacked perforated plates: Subwavelength holes vs. propagating holes," IEEE Trans. on Antennas and Propag., Vol. 59, No. 8, 2980-2988, 2011.

9. Bethe, H. A., "Theory of diffraction by small holes," Phys. Rev., Vol. 66, No. 7--8, 163-182, 1944.

10. bbesen, T. W., H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through subwavelength hole arrays," Nature, Vol. 391, 667-669, 1998.

11. Song, J. F. and R. Proietti Zaccaria, "Manipulation of light transmission through sub-wavelength hole array," J. Opt. A: Pure Appl. Opt., Vol. 9, No. 9, S450-S457, 2007.

12. Ren, X. F., G. P. Guo, P. Zhang, Y. F. Huang, Z. W. Wang, and G. C. Guo, "Remote control of extraordinary transmission through subwavelength hole arrays," Europhys. Lett., Vol. 84, No. 3, 1-4, 2008.

13. Ghaemi, H. F., T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, "Surface plasmons enhance optical transmission through subwavelength holes ," Phys. Rev. B, Vol. 58, No. 11, 6779-6782, 1998.

14. Vallius, T., J. Turunen, M. Mansuripur, and S. Honkanen, "Transmission through single subwavelength apertures in thin metal films and effects of surface plasmons," J. Opt. Soc. Am. A, Vol. 21, No. 3, 456-463, 2004.

15. Lalanne, P., J. C. Rodier, and J. P. Hugonin, "Surface plasmons of metallic surfaces perforated by nanohole arrays," J. Opt. A: Pure Appl. Opt., Vol. 7, No. 8, 422-426, 2005.

16. Kong, F., K. Li, B.-I. Wu, H. Huang, H. Chen, and J. A. Kong, "Propagation properties of the SPP modes in nanoscale narrow metallic gap, channel, and hole geometries ," Progress In Electromagnetics Research, Vol. 76, 449-466, 2007.

17. Beruete, M., M. Sorolla, I. Campillo, J. S. Dolado, L. MartIn-Moreno, J. Bravo-Abad, and F. J. Garcia-Vidal, "Enhanced millimeter-wave transmission through subwavelength hole arrays," Opt. Lett., Vol. 29, No. 21, 2500-2502, 2004.

18. Martin-Moreno, L., F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, "Theory of extraordinary optical transmission through subwavelength hole arrays ," Phys. Rev. Lett., Vol. 86, No. 6, 1114-1117, 2001.

19. Garcia de Abajo, F. J., R. Gomez-Medina, and J. J. Saenz, "Full transmission through perfect-conductor subwavelength hole arrays ," Phys. Rev. E, Vol. 72, No. 1, 1-4, 2005.

20. Hongo, K. and Q. A. Naqvi, "Diffraction of electromagnetic wave by disk and circular hole in a perfectly conducting plane," Progress In Electromagnetics Research, Vol. 68, 113-150, 2007.

21. Rudnitsky, A. S. and V. M. Serdyuk, "Diffraction of a plane electromagnetic wave by a slot in a conducting screen of finite thickness placed in front of a half-infinite dielectric," Progress In Electromagnetics Research, Vol. 86, 277-290, 2008.

22. Ghazi, G. and M. Shahabadi, "Modal analysis of extraordinary transmission through an array of subwavelength slits," Progress In Electromagnetics Research, Vol. 79, 59-74, 2008.

23. Pendry, J. B., L. MartIn-Moreno, and F. J. GarcIa-Vidal, "Mimicking surface plasmons with structured surfaces," Science, Vol. 305, No. 5685, 847-848, 2004.

24. Quevedo-Teruel, O., "Controlled radiation from dielectric slabs over spoof surface plasmon waveguides," Progress In Electromagnetics Research, Vol. 140, 169-179, 2013.

25. Medina, F., F. Mesa, and R. Marques, "Extraordinary transmission through arrays of electrically small holes from a circuit theory perspective ," IEEE Trans. Microw. Theory Tech., Vol. 56, No. 12, 3108-3120, 2008.

26. Marques, R, F. Mesa, L. Jelinek, and F. Medina, "Analytical theory of extraordinary transmission through metallic diffraction screens perforated by small holes," Opt. Express, Vol. 17, No. 7, 5571-5579, 2009.

27. Marques, , R., L. Jelinek, F. Mesa, and F. Medina, "Analytical theory of wave propagation through stacked fishnet metamaterials," Opt. Express, Vol. 17, No. 14, 11582-11593, 2009.

28. Beruete, M., M. Navarro-Cia, and M. Sorolla Ayza, "Understand-ing anomalous extraordinary transmission from equivalent circuit and grounded slab concepts," IEEE Trans. on Microw. Theory and Tech., Vol. 59, No. 9, 2180-2188, 2011.

29. Medina, F., J. A. Ruiz-Cruz, F. Mesa, J. M. Rebollar, J. R. Montejo-Garai, and R. Marques, "Experimental verification of extraordinary transmission without surface plasmons," Appl. Phys. Lett., Vol. 95, No. 7, 1-3, 2009.

30. Garcia de Abajo, F. J., "Colloquium: Light scattering by particle and hole arrays," Rev. Mod. Phys., Vol. 79, No. 4, 1267-1290, 2007.

31. Engheta, N., A. Salandrino, and A. Alu, "Circuit elements at optical frequencies: Nanoinductors, nanocapacitors, and nanoresistors ," Phys. Rev. Lett., Vol. 95, No. 9, 1-4, 2005.

32. Huang, C. P., X. G. Yin, H. Huang, and Y. Y. Zhu, "Study of plasmon resonance in a gold nanorod with an LC circuit model," Opt. Express, Vol. 17, No. 8, 6407-6413, 2009.

© Copyright 2014 EMW Publishing. All Rights Reserved