volume | PIER Journals

Abstract

The potential to implement microwave filters with special properties, by loading a waveguide with artificial Single Negative (SNG) or Double negative (DNG) materials was investigated. The SNG or DNG medium was structured with dielectric spherical particles of high permittivity embedded in a dielectric material of much smaller permittivity. Numerical analysis of the frequency response of the waveguide loaded with slabs of this type of composite dielectrics reveals that filtering performance, with attributes like very sharp attenuation at the bounds of frequency pass or stop band can be obtained. The central frequency as well as the bandwidth of the filtering can be controlled via the size and the dielectric constants of the particles, the dielectric constant of the hosting material and the size of the slab.

1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics Uspekhi, Vol. 10, 509-514, 1968.
doi:10.1070/PU1968v010n04ABEH003699

2. Ziolkowski, R. W. and E. Heyman, "Wave propagation in media having negative permittivity and permiability," Phys. Rev. E, Vol. 64, 056625, 2001.
doi:10.1103/PhysRevE.64.056625

3. Smith, D. R. and N. Kroll, "Negative refracting index in left-handed materials," Phys. Rev. Lett., Vol. 85, 2933, 2000.
doi:10.1103/PhysRevLett.85.2933

4. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, 3966, 2000.
doi:10.1103/PhysRevLett.85.3966

5. Ziolkowski, R. W., "Superluminal transmission of information through an electromagnetic metamaterial," Phys. Rev. E, Vol. 63, 046604, 2001.
doi:10.1103/PhysRevE.63.046604

6. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, No. 5514, 2001.
doi:10.1126/science.1058847

7. Eleftheriades, G. V., A. K. Iyer, and P. C. Kremer, "Planar negative refractive index media using periodically L-C loaded transmission lines," IEEE Trans. on Microwave Theory and Techniques, Vol. 50, 2702-2712, 2002.
doi:10.1109/TMTT.2002.805197

8. Eleftheriades, G. V., O. Siddiqui, and A. K. Iyer, "Transmission line models for negative refractive index media and associated implementations without excess resonators," IEEE Microwave and Wireless Components Lett., Vol. 13, 51-53, 2003.
doi:10.1109/LMWC.2003.808719

9. Nefedov, I. S. and S. A. Tretyakov, "Theoretical study of waveguiding structures containing backward-wave materials," CXXVII General Assembly of International Union of Radio Science (URSI GA'02), Paper No. 1074 in the CD digest, 2002.

10. 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, 4184-4187, 2000.
doi:10.1103/PhysRevLett.84.4184

11. Simovski, C. R., P. A. Belov, and S. He, "Backward wave region and negative material parameters of a structure formed by lattices of wires and split-ring resonators," IEEE Trans. on Antennas and Propag., Vol. 51, 2582-2591, 2003.
doi:10.1109/TAP.2003.817554

12. Yang, X., Y.-J. Xie, R. Yang, and R.Wang, "Propagation features of H-guides with bianisostropic split ring resonator metamaterials," Progress In Electromagnetics Reasearch, Vol. 91, 333-348, 2009.
doi:10.2528/PIER09012501

13. Sanada, A., C. C. Caloz, and T. Itoh, "Planar distributed structures with negative refractive index," IEEE Trans. on Microwave Theory and Techniques, Vol. 52, 1252-1263, 2004.
doi:10.1109/TMTT.2004.825703

14. Caloz, C. C., A. Sanada, and T. Itoh, "A novel composite right-/left-handed coupled-line directional coupler with arbitrary coupling level and broad bandwidth," IEEE Trans. on Microwave Theory and Techniques, Vol. 52, 980-992, 2004.
doi:10.1109/TMTT.2004.823579

15. Caloz, C. C. and T. Itoh, "A novel mixed conventional microstrip and composite right/left-handed backward-wave directional coupler with broadband and tight coupling characteristics," IEEE Microwave and Wireless Components Lett., Vol. 14, 31-33, 2004.
doi:10.1109/LMWC.2003.821506

16. Studniberg, M. and G. V. Eleftheriades, "A dual-band bandpass filter based on generalized negative-refractive-index transmission-lines," IEEE Microwave and Wireless Components Lett., Vol. 19, No. 1, 18-20, 2009.
doi:10.1109/LMWC.2008.2008538

17. Selvanayagam, M. and G. V. Eleftheriades, "Negative-refractive-index transmission lines with expanded unit cells," IEEE Trans. on Antennas and Propag., Vol. 56, No. 11, 3592-3596, 2008.
doi:10.1109/TAP.2008.2005546

18. Simowski, C. R. and S. He, "Frequency range and explicit expressions for negative permittivity and permeability for an isotropic medium formed by a lattice of perfectly conducted particles," Phys. Rev. Lett., Vol. A311, 254-263, 2003.

19. Ahmadi, A. and H. Mosallaei, "All-Dielectric metamaterial: Double negative behavior and bandwidth-loss improvement," Proc. of IEEE Int. Symp. on Antennas and Propagation, 5527-5530, June 9-15, 2007.

20. Jylha, L., I. A. Kolmakov, S. Maslovski, and S. A. Tretyakov, "Modelling of isotropic backward-wave materials composed of resonant spheres," Journal of Appl. Phys., Vol. 99, 043102, 2006.
doi:10.1063/1.2173309

21. Vendik, O. G. and M. S. Gashinova, "Artificial double negative (DNG) media composed by two different dielectrics sphere lattices embedded in a dielectric matrix," Proc. of 34th European Microwave Conference-Amsterdam, 1209-1212, 2004.

22. Vendik, I., O. Vendik, I. Kolmakov, and M. Odit, "Modelling of isotropic double negative media for microwave applications," Opto-electronics Review, Vol. 14, No. 3, 179-186, 2006.
doi:10.2478/s11772-006-0023-z

23. Li, D., Y. Xie, J. Zhang, J. Li, and Z. Chen, "Multilayer filters with split-ring resonator metamaterials," Journal of Electromagnetic Waves and Applications, Vol. 22, No. 10, 1420-1429, 2008.
doi:10.1163/156939308786348938

24. Sabah, C. and S. Uckun, "Multilayer system of Lorentz/Drude metamaterials with dielectric slabs and its application to electromagnetic filters," Progress In Electromagnetics Reasearch, Vol. 91, 349-364, 2009.
doi:10.2528/PIER09031306

25. Bellver-Cebreros, C. and M. Rodriguez-Danta, "Geometrical analysis of wave propagation in left-handed metamaterials, Part I," Progress In Electromagnetics Reasearch C, Vol. 4, 103-119, 2008.

26. Bellver-Cebreros, C. and M. Rodriguez-Danta, "Geometrical analysis of wave propagation in Left-Handed metamaterials, Part II," Progress In Electromagnetics Reasearch C, Vol. 4, 85-102, 2008.

27. Lewin, L., Theory of Waveguide, Newens-Bitterworth, 1975.

28. Siakavara, K. and J. N. Sahalos, "The discontinuity problem of a rectangular dielectric post in a rectangular waveguide," IEEE Trans. on Microwave Theory and Techniques, Vol. 39, No. 9, 1617-1622, 1991.
doi:10.1109/22.83838

29. Siakavara, K., "Modal analysis of the microwave frequency response and composite right-/left- handed (CRLH) operation of a rectangular waveguide loaded with DPS and DNG materials," Int. Journal of RF and Microwave Computer Aided Engineering, Vol. 17, No. 4, 435-445, 2007.
doi:10.1002/mmce.20243

30. Lewin, L., "The electrical constants of a material loaded with spherical particles ," Proc. Inst. Elec. Eng., Vol. 94, No. 3, 65-68, 1947.

Dr. Katherine Siakavara

Dr. Constantinos Damianidis