Vol. 69

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2016-07-21

A Waveguide Horn Antenna with Coupled Resonator Notch Filter Designed by the Lagrangian Formulation for Metamaterials

By Joshua W. Shehan and Ryan S. Adams
Progress In Electromagnetics Research B, Vol. 69, 17-29, 2016
doi:10.2528/PIERB16042505

Abstract

This paper presents the design and analysis of guided wave notch filters using the Lagrangian formulation for metamaterials. It is shown that the application of the Lagrangian is a convenient and effective way to select an appropriate filtering structure and determine the necessary configuration for desired filter performance. A WR-187 waveguide horn antenna is investigated with notch filters composed of broadside coupled and gap coupled split ring resonators. It is shown that broadside coupling offers significant tunability in a compact size. The filter exhibits an operational bandwidth from approximately 3.9-5.7 GHz with 40-150 MHz of instantaneous bandwidth. The fabrication of the horn antenna and split ring resonators is presented along with simulated and measured data that confirms the approach.

Citation


Joshua W. Shehan and Ryan S. Adams, "A Waveguide Horn Antenna with Coupled Resonator Notch Filter Designed by the Lagrangian Formulation for Metamaterials," Progress In Electromagnetics Research B, Vol. 69, 17-29, 2016.
doi:10.2528/PIERB16042505
http://www.jpier.org/PIERB/pier.php?paper=16042505

References


    1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. Uspekhi, Vol. 10, 509-514, 1968.
    doi:10.1070/PU1968v010n04ABEH003699

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

    3. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of negative index of refraction," Science, Vol. 292, 77-79, 2001.
    doi:10.1126/science.1058847

    4. Ziolkowski, R. W., "Design, fabrication, and testing of double negative metamaterials," IEEE Trans. Antennas Propag., Vol. 51, No. 7, 1516-1529, 2003.
    doi:10.1109/TAP.2003.813622

    5. Solymar, L. and E. Shamonina, Waves in Metamaterials, Oxford University Press, New York, 2009.

    6. Palandoken, M., Metamaterial-based Compact Filter Design, Metamaterial, X. Jiang (Ed.), InTech, 2012, DOI: 10.5772/35853.

    7. Fallahzadeh, S., H. Bahrami, and M. Tayarani, "A novel dual-band bandstop waveguide filter using split ring resonators," Progress In Electromagnetics Research Letters, Vol. 12, 133-139, 2009.
    doi:10.2528/PIERL09103103

    8. Gangaraj, S. H. and M. Tayarani, "A novel bandstop resonator in waveguide and its application for suppressing the spurious responses with new advantages to typical resonators," PIERS Proceedings, 533-537, Suzhou, China, September 12-16, 2011.

    9. Barbuto, M., F. Trotta, F. Bilotti, and A. Toscano, "Horn antennas with integrated notch filters," IEEE Trans. Antennas Propag., Vol. 63, No. 2, 781-785, 2015.
    doi:10.1109/TAP.2014.2378269

    10. Barbuto, M., F. Trotta, F. Bilotti, and A. Toscano, "Varying the operation bandwidth of metamaterial-inspired filtering modules for horn antennas," Progress In Electromagnetics Research C, Vol. 58, 61-68, 2015.
    doi:10.2528/PIERC15051402

    11. Shehan, J. W. and R. S. Adams, "X-band horn antenna with integrated tunable notch filter," 2015 IEEE International Symposium on Antennas and Propagation (APSURSI), 2213-2214, 2015.

    12. Powell, D. A., M. Lapine, M. V. Gorkunov, I. V. Shadrivov, and Y. S. Kivshar, "Metamaterial tuning by manipulation of near-field interactions," Phys. Rev. B, Vol. 82, 155128, 2010.
    doi:10.1103/PhysRevB.82.155128

    13. Powell, D. A., K. Hannam, I. V. Shadrivov, and Y. S. Kivshar, "Near-field interaction of twisted split-ring resonators," Phys. Rev. B, Vol. 83, 235420, 2011.
    doi:10.1103/PhysRevB.83.235420

    14. Withayachumnankul, W., C. Fumeaux, and D. Abbot, "Near-field interactions in electric inductive-capacitive resonators for metamaterials," Journal of Phys. D: Applied Phys., Vol. 45, No. 48, 485101, 2012.
    doi:10.1088/0022-3727/45/48/485101

    15. Haus, H. A. and W. Huang, "Coupled-mode theory," Proceedings of the IEEE, Vol. 79, No. 10, 1505-1518, 1991.
    doi:10.1109/5.104225

    16. Balanis, C. A., Antenna Theory: Analysis and Design, 3rd Ed., John Wiley & Sons, New Jersey, 2005.