# A Spoof Surface Plasmon Polaritons (SSPPs) Based Dual-Band-Rejection Filter with Wide Rejection Bandwidth

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## Abstract

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## 1. Introduction

## 2. Filter Design

#### 2.1. Principle Mechanism

#### 2.2. SSPP Unit-Cell Analysis

#### 2.3. Theoretical Study of the CCRRs

## 3. Parametric Study

## 4. Fabrication and Measurement

## 5. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 1.**Schematic of the proposed D-BRF through interaction between the coupled circular ring resonators (CCRRs) and the Spoof Surface Plasmon Polariton (SSPP)-based transmission lines (TL).

**Figure 2.**(

**a**) Effect of the groove depth on dispersion curve of the cell. (

**b**) The surface impedance of the cell by groove depth change in different frequencies. (

**c**) The distribution of E-field & H-field at three orthogonal planes (E-field at A-A’, and B-B’, H-field at z = 0).

**Figure 3.**(

**a**) Filter part of the D-BRF with two CCRRs coupled to the SSPP-TL. (

**b**) Signal flow-graph of the filter section.

**Figure 4.**Electric field lines of CCRRs, (

**a**) at the first resonance (${f}_{1}$ = 9.5 GHz) and (

**b**) at the second resonance (${f}_{2}$ = 20.9 GHz).

**Figure 5.**Scattering parameters of the D-BRF. (

**a**,

**b**) with different numbers of CCRRs (n). (

**c**,

**d**) with change of the CCRRs width (${W}_{R}$). By changing the ${W}_{R}$, the second resonance mode can be independently controlled within the frequency range of 19.6 to 22 GHz.

**Figure 6.**Scattering parameters of the D-BRF. (

**a**,

**b**) with different value of the CCRRs distance to the SSPP-TL (${y}_{R}$). (

**c**,

**d**) with change of the CCRRs radius (${R}_{R}$).

**Figure 7.**Scattering parameters of the filter and the independent movement of the first resonance by different value of the width and the radius of the resonators. The first resonance mode can be independently controlled within the frequency band from 9.4 to 10.1 GHz.

**Figure 8.**(

**a**) Picture of the fabricated sample. (

**b**) The simulation and experiment results of the D-BRF.

**Figure 9.**Electric-field distribution of the D-BRF, 0.2 mm above the structure, at different frequencies (in the rejection and pass bands). (

**a**) 3.5 GHz, (

**b**) 9.5 GHz, (

**c**) 15 GHz, (

**d**) 20.9 GHz, (

**e**) 27 GHz, and (

**f**) 35 GHz.

**Table 1.**Performances comparison of the proposed dual band-rejection-filter with traditional SSPP-based ones. The red is shown the advantages of this work, which is wide rejection bandwidth.

Ref. | SL or DL | ${\mathit{f}}_{0}$ (GHz) | FBW (%) | Depth (dB) | RL in SBs (dB) | IL in PBs (dB) | Tunability |
---|---|---|---|---|---|---|---|

[30] | SL | 8.21/10.4 | NBs | −34/−31 | NA | 2.8/2.6/2.6 | Yes |

[31] | SL | 5.36/9.32 | 1.61/1.29 | −30/−25 | NA | 3/2.3/2.4 | No |

[32] | DL | 4.04/4.5 | NBs | −7.5/−8 | −5/−5 | 0.3/0.3/0.3 | Yes |

[33] | SL | 7.65/9.47 | NBs | −15/−17 | −8/−8 | 2.5/2.3/2.6 | Yes |

[35] | DL | 9.15/11.55 | 5.5/9.5 | −40/−50 | NA | 0.8/1.2/1.9 | Yes |

[36] | DL | 18.6/22.6 | 5.2/6 | −43/−60 | −2.7/−2.4 | 0.9/2.7/1.3 | Yes |

[37] | SL | 6.4/6.8 | NBs | −20/−18 | NA | 2/2.5/2.8 | Yes |

Here | SL | 9.5/20.9 | 26.2/8.6 | −32/−25 | −2.5/−2.5 | 1.5/6.8/3.8 | Yes |

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**MDPI and ACS Style**

Farokhipour, E.; Mehrabi, M.; Komjani, N.; Ding, C.
A Spoof Surface Plasmon Polaritons (SSPPs) Based Dual-Band-Rejection Filter with Wide Rejection Bandwidth. *Sensors* **2020**, *20*, 7311.
https://doi.org/10.3390/s20247311

**AMA Style**

Farokhipour E, Mehrabi M, Komjani N, Ding C.
A Spoof Surface Plasmon Polaritons (SSPPs) Based Dual-Band-Rejection Filter with Wide Rejection Bandwidth. *Sensors*. 2020; 20(24):7311.
https://doi.org/10.3390/s20247311

**Chicago/Turabian Style**

Farokhipour, Ehsan, Mohammad Mehrabi, Nader Komjani, and Can Ding.
2020. "A Spoof Surface Plasmon Polaritons (SSPPs) Based Dual-Band-Rejection Filter with Wide Rejection Bandwidth" *Sensors* 20, no. 24: 7311.
https://doi.org/10.3390/s20247311