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Resonance Frequency and Bandwidth of the Negative/Positive nth Mode of a Composite Right-/Left-Handed Transmission Line

  • Kim, Seong-Jung (School of Electronic and Electrical Engineering, Hongik University) ;
  • Lee, Jeong-Hae (School of Electronic and Electrical Engineering, Hongik University)
  • Received : 2017.08.10
  • Accepted : 2017.11.06
  • Published : 2018.01.31

Abstract

In this study, the analytic expression for the positive/negative $n^{th}-Mode$ resonance frequency of an N unit cell composite right-/lefthanded (CRLH) transmission line is derived. To explain the resonance mechanism of the $n^{th}$ mode, especially for the negative mode, the current distribution of the N unit cell CRLH transmission line is investigated with a circuit simulation. Results show that both positive and negative $n^{th}$ resonance modes have n times current variations, but their phase difference is $180^{\circ}$ as expected. Moreover, the positive $n^{th}$ resonance occurs at a high frequency, whereas the negative $n^{th}$ resonance transpires at a low frequency, thus indicating that the negative resonance mode can be utilized for a small resonator. The correlation between the slope of the dispersion curve and the bandwidth is also observed. In sum, the balanced condition of the CRLH transmission line provides a broader bandwidth than the unbalanced condition.

Keywords

References

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