Vol. 68

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues

Analysis and Design of E-CRLH TL Characteristics with New Closed-Form Solutions

By Hien Ba Chu and Hiroshi Shirai
Progress In Electromagnetics Research C, Vol. 68, 163-178, 2016


In this study, new closed-form solutions are presented for deriving inductance and capacitance elements of the extended-composite right/left-handed transmission line (E-CRLH TL) unit cell from the cutoff frequencies of right-handed (RH) and left-handed (LH) bands. The characteristics of the E-CRLH TL are investigated. The dispersion diagram, Bloch impedance, S-parameters are analyzed by the TL, circuit theories and the Bloch-Floquet theorem. Lastly, the usefulness of our method has been shown in detail by designing the desired characteristics for various cases.


Hien Ba Chu and Hiroshi Shirai, "Analysis and Design of E-CRLH TL Characteristics with New Closed-Form Solutions," Progress In Electromagnetics Research C, Vol. 68, 163-178, 2016.


    1. Caloz, C. and T. Itoh, Electromagnetic Metamaterials Transmission Line Theory and Microwave Applications, John Wiley & Sons, 2006.

    2. Caloz, C., "Dual composite right/left-handed (D-CRLH) transmission line metamaterial," IEEE Microwave and Wireless Components Letters, Vol. 16, No. 11, 585-587, Nov. 2006.

    3. Caloz, C. and H. V. Nguyen, "Novel broadband conventional and dual-composite right/left-handed (C/D-CRLH) metamaterials: Properties, implementation and double-band coupler application," Applied Physics A, Vol. 87, No. 2, 309-316, May 2007.

    4. Ryu, Y. H., J. H. Park, J. H. Lee, J. Y. Kim, and H. S. Tae, "DGS dual composite right/left handed transmission line," IEEE Microwave and Wireless Components Letters, Vol. 18, No. 7, 434-436, Nov. 2008.

    5. Rennings, A., S. Otto, J. Mosig, C. Caloz, and I. Wolff, "Extended composite right/left-handed (E-CRLH) metamaterial and its application as quadband quarter-wavelength transmission line," Proc. of Asia-Pacific Microwave Conference, 1405-1408, Dec. 2006.

    6. Sindreu, M. D., J. Bonache, F. Martin, and T. Itoh, "Single-layer fully-planar extended-composite right-/left-handed transmission lines based on substrate integrated waveguides for dual band and quad-band applications," International Journal of Microwave and Wireless Technologies, Vol. 5, No. 3, 213-220, May 2013.

    7. Eleftheriades, G. V., "A generalized negative-refractive-index transmission line (NRL-TL) metamaterial for dual-band and quad-band applications," IEEE Microwave and Wireless Component Letters, Vol. 17, No. 6, 415-417, Jun. 2007.

    8. Papanastasious, A. C., G. E. Georghiou, and G. V. Eleftheriades, "A quad-band Wilkinson power divider using generalized NRI transmission lines," IEEE Microwave and Wireless Components Letters, Vol. 18, No. 8, 521-523, Aug. 2008.

    9. Eleftheriades, G. V., "Design of generalised negative-refractive-index transmission lines for quadband applications," IET Microwaves, Antennas and Propagation, Vol. 4, No. 8, 977-981, Aug. 2010.

    10. Fozi, M., S. Nikmehr, M. V. Ghurt-Tappeh, and M. Bemani, "Design of dual- and quad-band ECRLH- TLs with arbitrary phase characteristics," Progress In Electromagnetics Research M, Vol. 35, 141-149, Mar. 2014.

    11. Pozar, D. M., Microwave Engineering, John Wiley & Sons, 2012.

    12. Peng, L. and C. I. Ruan, "Design, analysis and implementation of novel metamaterial transmission line with dual composite right/left-handed and conventional composite right/lefthanded properties," IET Microwaves, Antennas and Propagation, Vol. 6, No. 15, 1687-1695, Oct. 2012.