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MICROWAVE PROPAGATION IN ROUND GUIDING STRUCTURES BASED ON DOUBLE NEGATIVE METAMATERIALS

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Abstract

This paper presents a theoretical study of guided propagation in a waveguide containing ordinary and negative refractive index (NRI) media. The cut-off frequency of positive/negative combined media is examined. It is calculated for each propagating mode as a solution of a characteristic equation that is solved in terms of Bessel functions, taking into account the implications of the negative refraction. In contrast to what happens in ordinary propagation, mode mixing and crossing and no cut-off modes are found for negative values of ε, μ and refractive index n. The investigation considers the range 1-80 GHz where metamaterials have been demonstrated to work with negative parameters. The results are also compared with the negative core/negative cladding case. Some applications are suggested for devices operating in the microwave frequency domain.

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References

  1. J. B. Pendry, A. J. Holden and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena”, IEEE Trans. Microwave Theory Tech., vol. 47, no. 11, pp. 2075–2084, 1999.

    Article  Google Scholar 

  2. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, “Composite medium with simultaneously negative permittivity and permeability”, Phys. Rev. Lett., vol. 84, no. 18, pp. 4184–4187, 2000.

    Article  ADS  Google Scholar 

  3. V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of epsilon and mu”, Sov. Phys. USPEKHI, vol. 10, no. 4, pp. 509–514, 1968.

    Article  ADS  Google Scholar 

  4. R. W. Ziolkowski, and E. Heyman, “Wave propagation in media having negative permittivity and permeability”, Phys. Rev. E, vol. 64, 056625, 2001

    Google Scholar 

  5. S. Enoch, G. Tayeb, P. Sabouroux, N. Guerin, and P. Vincent, “A Metamaterial for Directive Emission”, Phys. Rev. Lett., vol. 89, no. 21, 213902, 2002

  6. T. Weiland, R. Schuhmann, R. Greegor, C. Parazzoli, A. Vetter, D. R. Smith, D. C. Vier and S. Schultz, “Calculation of S-parameters for a left-handed metamaterial and comparison with experimental data”, Jour. Appl. Phys. vol. 90, 5419, 2001.

    Article  ADS  Google Scholar 

  7. P. Markos and C.M. Soukoulis, Phys. Rev. E. 65, 036622-1, 2002

    Google Scholar 

  8. R. Shelby, D. R. Smith and S. Schultz, “Experimental verification of a negative index of refraction”, Science, Vol. 292, no. 77, 2001

  9. E. Prati, “Propagation in gyroelectromagnetic guiding systems”, J. Electr. Wav. Appl., vol. 17, no. 8, 1177–1196, 2003

    Article  Google Scholar 

  10. E. Prati, “Microwave propagation in ferromagnetic semiconductors”, J. Magn. and Magn. Mat., Vv. 272–276, no. 3, pp. 1999–2001, 2004

    Article  Google Scholar 

  11. J. Pendry, “Perfect cylindrical lenses”, Optics Express, Vol. 11, no. 7, pp. 755, 2003

    Article  ADS  Google Scholar 

  12. A. Lakhtakia, “On perfect lenses and nihility”, Int. J. Infrar. Millim. Wave, Vol. 23, No. 3, pp. 339–343, 2002

    Article  Google Scholar 

  13. D. Schurig and D. R. Smith, “Spatial filtering using media with indefinite permittivity and permeability tensors”, Appl. Phys. Lett. Vol. 82, no. 7, pp. 2215, 2003

    Article  ADS  Google Scholar 

  14. E. Prati, “Crossover Between the Cell Size and the Wavelength of the Incident Radiation in a Metamaterial”, Microw. Opt. Technol. Lett., vol 40, no. 4, pp 272, 2004

    Article  Google Scholar 

  15. P. V. Parimi, W. T. Lu, P. Vodo, and S. Sridhar, “Photonic crystals: Imaging by flat lens using negative refraction”, Nature, 426,404, 27, 2003

    Google Scholar 

  16. D.R. Smith, D. Schurig, J.B. Pendry, Appl. Phys. Lett., vol. 81, no. 15, pp. 2713–2715, 2002

    Article  ADS  Google Scholar 

  17. B. Wu, T.M. Grzegorczyk, Y. Zhang, J.A. Kong, J. Appl. Phys, vol. 93, no. 11, pp. 9386–9388, 2003

    Article  ADS  Google Scholar 

  18. B.V. Shadrivov, A.A. Sukhourov, Yuri S. Kivshar, Ph. Rev. E, vol. 67, 057602, 2003

  19. Annino, G., Cassettari, M., Longo, I., Martinelli, M., IEEE Trans. On Microw. Th. and Tech., vol. 45, no. 11, pp. 2025–2034, 1997

    Article  Google Scholar 

  20. A. Alů, N. Engheta, Proc. of ICEAA’0, September 2003, Torino, Italy, pp. 435–438

    Google Scholar 

  21. R.A. Waldron, “Theory of Guided Electromagnetic Waves”, Van Nostrand Reinhold Company, London, 1969

    Google Scholar 

  22. G.N. Watson, “A Treatise on the Theory of the Bessel Functions”, Cambridge at the University Press, 1952

  23. M.L. Kales, “Modes in a wave guide containing ferrites”, J. of Applied Physics, vol. 24, pp. 604–608, 1953

    Article  MATH  ADS  MathSciNet  Google Scholar 

  24. Xiao Hu Jiao; Guillon, P.; Bermudez, L.A.; Auxemery, P., “Whispering-Gallery Modes of Dielectric Structures: Applications to Millimeter-Wave Bandstop Filters”, IEEE Trans. on Microw. Theory and Techniques, vol. 35, no. 12, pp. 1169–1175, 1987

    Article  ADS  Google Scholar 

  25. V. R. Almeida, C.s A. Barrios, R. R. Panepucci, and M. Lipson, “All-optical control of light on a silicon chip”, Nature, 431, 1081–1084, 2004

    Article  ADS  Google Scholar 

  26. E. Prati, G. Annino, M. Martinelli, “Complex Variational Axial Mode Matching Method for Single-Mode and Overmoded Dielectric Resonators”, Electromagnetics, vol. 24, no. 8, pp. 565–582, 2004

    Article  Google Scholar 

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  1. Laboratorio Nazionale Materiali e Dispositivi per la Microelettronica, CNR-INFM, Via Olivetti 2, I-20041, Agrate Brianza (Milano), Italy

    Enrico Prati

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  1. Enrico Prati
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Prati, E. MICROWAVE PROPAGATION IN ROUND GUIDING STRUCTURES BASED ON DOUBLE NEGATIVE METAMATERIALS. Int J Infrared Milli Waves 27, 1227–1239 (2006). https://doi.org/10.1007/s10762-006-9134-3

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  • DOI: https://doi.org/10.1007/s10762-006-9134-3

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