Vol. 80
Latest Volume
All Volumes
PIER 180 [2024] PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2007-11-27
Analysis and Design of Highly Compact Bandpass Waveguide Filter Using Complementary Split Ring Resonators(CSRR)
By
, Vol. 80, 107-122, 2008
Abstract
Split Ring Resonators (SRR) and Complementary Split Ring Resonators (CSRR) are widely used to design metamaterial structures. These structures when excited by suitable electromagnetic fields have resonance behavior and show unusual properties such as negative permeability and permittivity near the resonance frequency region. In this paper, CSRRs are used to design a bandpass waveguide filter in the X-band. The circuit model of these elements in the waveguide is similar to parallel L and C components that are placed in parallel form in a transmission line. Resonance frequency and bandwidth of LC resonance circuit are adjusted by proper choice of the CSRR geometrical dimensions. Then, to design the miniaturized filter these structures are combined with proper admittance inverter. The admittance inverter is designed such that its electric length is very smaller than the conventional λ/4 transmission line. As a result, a filter is compacted about 66% in comparison to the λ/4 transmission line as admittance inverter. Simulation results by Ansoft HFSS (Based on the Finite Element Method) confirm the results of filter circuit model.
Citation
Hadi Bahrami, Mohammad Hakkak, and Abbas Pirhadi, "Analysis and Design of Highly Compact Bandpass Waveguide Filter Using Complementary Split Ring Resonators(CSRR)," , Vol. 80, 107-122, 2008.
doi:10.2528/PIER07111203
References

1. Li, D., Y. J. Xie, P. Wang, and R. Yang, "Applications of splitring resonances on multi-band frequency selective surfaces," J. of Electromagn. Waves and Appl., Vol. 21, No. 11, 1551-1563, 2007.

2. Gurel, L.O. Ergul, and A. Unal, "Accurate analysis of metamaterials involving finite arrays of split-ring resonators and thin wires," Progress In Electromagnetics Research Symposium, Vol. S 2007, 26-30, 2007.

3. Zhao, Q.L. Kang, B. Du, B. Li, and J. Zhou, "Tunable metamaterials based on nematic liquid crystals," Progress In Electromagnetics Research Symposium, Vol. S 2007, 26-30, 2007.

4. Jelinek, L., J. Machac, and J. Zehentner, "A magnetic metamaterial composed of randomly oriented SRRs," PIERS Online, Vol. 2, No. 6, 624-627, 2006.
doi:10.2529/PIERS060831080303

5. Chang, K. and L. Hsieh, Microwave Ring Circuits and Related Structures, John Wiley & Sons, 2004.

6. 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," J. of Electromagn. Waves and Appl., Vol. 20, No. 1, 13-25, 2006.
doi:10.1163/156939306775777413

7. Wu, Q.M.-F. Wu, F.-Y. Meng, J. Wu, and L.-W. Li, "SRRs' srtificial magnetic metamaterials modeling using transmission line theory," Progress In Electromagnetics Research Symposium, Vol. S 2005, 22-26, 2005.

8. Garcia-Garcia, J.F. Aznar, M. Gil, J. Bonache, and F. Martin, "Size reduction of SRRs for metamaterial and left handed media design," Progress In Electromagnetics Research Symposium, Vol. S 2007, 26-30, 2007.

9. Ziolkowski, R. W., "Design, fabrication, and testing of double negative metamaterials," IEEE Transactions Antennas and Propagation, Vol. 51, No. 7, 2003.

10. Cabuz, A. I., D. Felbacq, and D. Cassagne, "Homogenization of negative-index composite metamaterials: A two-step approach," Physical Review Letters, Vol. 98, 1-4, 2007.

11. Hrabar, S. and G. Jankovic, "Basic radiation properties of waveguides filled with uniaxial single-negative metamaterials," Microwave and Optical Technology Letters, Vol. 48, No. 12, 2006.
doi:10.1002/mop.21993

12. Mosallaei, H. and K. Sarabandi, "A compact wide-band EBG structure utilizing embedded resonant circuits," IEEE Antennas and Wireless Propagagation Letters, Vol. 4, 2005.

13. Falcone, F., F. Martin, J. Bonache, R. Marques, and M. Sorolla, "Coplanar waveguide structures loaded with split ring resonators," Microwave and Optical Technology Letters, Vol. 40, 3-6, 2004.
doi:10.1002/mop.11269

14. Bonache, J., F. Martín, F. Falcone, J. D. Baena, T. Lopetegi, J. Garcia-Garcia, M. A. G. Laso, I. Gil, A. Marcotegui, R. Marque, and M. Sorolla, "Application of complementary split-ring resonators to the design of compact narrow bandpass structure in microstrip technology," Microwave and Optical Technology Letters, Vol. 46, No. 5, 2005.
doi:10.1002/mop.21031

15. Bonache, J., F. Martín, F. Falcone, I. Gil, J. Garcia-Garcia, R. Marques, and M. Sorolla, "Microstrip bandpass filters with wide bandwidth and compact dimensions," Microwave and Optical Technology Letters, Vol. 46, No. 4, 2005.
doi:10.1002/mop.20982

16. Wu, G.-L., W. Mu, X.-W. Dai, and Y.-C. Jiao, "Design of novel dual-band bandpass filter with microstrip meander-loop resonator and CSRR," Progress In Electromagnetics Research, Vol. 78, 17-24, 2008.
doi:10.2528/PIER07090301

17. Zhang, X.-C., Z.-Y. Yu, and J. Xu, "Novel band-pass Substrate Integrated Waveguide (SIW) filter based on Complementary Split Ring Resonators (CSRRS)," Progress In Electromagnetics Research, Vol. 72, 39-46, 2007.
doi:10.2528/PIER07030201

18. Gil, M., J. Bonache, J. Selga, J. Garcia-Garcia, and F. Martin, "High-pass filters implemented by Composite Right/Left Handed (CRLH) transmission lines based on Complementary Split Rings Resonators (CSRRs)," PIERS Online, Vol. 3, No. 3, 251-253.
doi:10.2529/PIERS060802072849

19. Zhang, J., B. Cui, S. Lin, and X.-W. Sun, "Sharp-rejection lowpass filter with controllable transmission zero using Complementary Split Ring Resonators (CSRRS)," Progress In Electromagnetics Research, Vol. 69, 219-226, 2007.
doi:10.2528/PIER06122103

20. Liu, K. Y., C. Li, and F. Li, "A new type of microstrip coupler with Complementary Split-Ring Resonator (CSRR)," PIERS Online, Vol. 3, No. 5, 603-606, 2007.
doi:10.2529/PIERS060906085815

21. Baena, J. D., J. Bonache, F. Martín, R. M. Sillero, F. Falcone, T. Lopetegi, M. A. G. Laso, J. G. García, I. Gil, M. F. Portillo, and M. Sorolla, "Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines," IEEE Transactions Microwave Theory and Techniques, Vol. 53, No. 4, 2005.

22. Shelkovnikov, A. and D. Budimir, "Left-handed rectangular waveguide bandstop filters," Microwave and Optical Technology Letters, Vol. 48, No. 5, 2006.
doi:10.1002/mop.21494

23. Jitha, B., C. S. Nimisha, C. K. Aanandan, P. Mohanan, and K. Vasudevan, "SRR loaded waveguide band rejection filter with adjustable bandwidth," Microwave and Optical Technology Letters, Vol. 48, No. 7, 2006.
doi:10.1002/mop.21641

24. Ortiz, N., J. D. Baena, M. Beruete, F. Falcone, M. A. G. Laso, T. Lopetegi, R. Marque, F. Martin, J. Garcia-Garcia, and M. Sorolla, "Complementary split-ring resonator for compact waveguide filter design," Microwave and Optical Technology Letters, Vol. 46, No. 1, 2005.
doi:10.1002/mop.20909

25. Falcone, F., T. Lopetegi, M. A. G. Laso, J. D. Baena, J. Bonache, M.Beruete, R. Marques, F. Martín, and M. Sorolla, "Babinet principle appliedto metasurface and metamaterial design," Physical Review Letters, Vol. 93, 1-4, 2004.
doi:10.1103/PhysRevLett.93.197401

26. Marcuvitz, N., Waveguide Handbook, Vol. 10, MIT Radiation Laboratory Series, 1951.

27. Matthaei, G. L., L. Young, and E. M. T. Jones, Microwave Filters, Impedance-matching Networks and Coupling Structures, 1980.

28. HFSS Release 9.0, Ansoft Corp., 2003., 2003.