### Abstract

Multi-walled carbon nanotubes (MWNT) are characterized at X-band (8-12 GHz) by waveguide measurements. The scattering parameters (S-parameters) of thin MWNT papers containing a large ensemble of randomly oriented nanotubes are measured by a vector network analyzer. An extraction algorithm has been developed to compute the effective complex permittivity (ε= ε-j ε'') and permeability (μ = μ' -j μ'') of the MWNT papers from the measured S-parameters. The extracted effective medium parameters are verified by finite-element simulations using Ansoft HFSS. The uncertainties for this characterization method are analyzed. The extracted conductivity of the MWNT papers is on the order of 1500 S/m and the dielectric constant is on the order of-500. No significant magnetic responses are observed. To overcome the relatively large uncertainty associated with the reflection coefficient S11, the extracted imaginary permittivity (ε'') is fitted by the Drude model and the dielectric constant (ε') and permeability are recalculated.

Original language | English (US) |
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Title of host publication | IEEE MTT-S International Microwave Symposium Digest |

Pages | 1181-1184 |

Number of pages | 4 |

DOIs | |

State | Published - 2007 |

Event | 2007 IEEE MTT-S International Microwave Symposium, IMS 2007 - Honolulu, HI, United States Duration: Jun 3 2007 → Jun 8 2007 |

### Other

Other | 2007 IEEE MTT-S International Microwave Symposium, IMS 2007 |
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Country | United States |

City | Honolulu, HI |

Period | 6/3/07 → 6/8/07 |

### Fingerprint

### Keywords

- Conductivity
- Drude model
- MWNT
- Permeability
- Permittivity
- Waveguide

### ASJC Scopus subject areas

- Condensed Matter Physics
- Electrical and Electronic Engineering

### Cite this

*IEEE MTT-S International Microwave Symposium Digest*(pp. 1181-1184). [4264040] https://doi.org/10.1109/MWSYM.2007.380341

**Characterization of multi-walled carbon nanotube (MWNT) papers using X-band waveguides.** / Xin, Hao; Wang, Lu; Carnahan, David.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*IEEE MTT-S International Microwave Symposium Digest.*, 4264040, pp. 1181-1184, 2007 IEEE MTT-S International Microwave Symposium, IMS 2007, Honolulu, HI, United States, 6/3/07. https://doi.org/10.1109/MWSYM.2007.380341

}

TY - GEN

T1 - Characterization of multi-walled carbon nanotube (MWNT) papers using X-band waveguides

AU - Xin, Hao

AU - Wang, Lu

AU - Carnahan, David

PY - 2007

Y1 - 2007

N2 - Multi-walled carbon nanotubes (MWNT) are characterized at X-band (8-12 GHz) by waveguide measurements. The scattering parameters (S-parameters) of thin MWNT papers containing a large ensemble of randomly oriented nanotubes are measured by a vector network analyzer. An extraction algorithm has been developed to compute the effective complex permittivity (ε= ε-j ε'') and permeability (μ = μ' -j μ'') of the MWNT papers from the measured S-parameters. The extracted effective medium parameters are verified by finite-element simulations using Ansoft HFSS. The uncertainties for this characterization method are analyzed. The extracted conductivity of the MWNT papers is on the order of 1500 S/m and the dielectric constant is on the order of-500. No significant magnetic responses are observed. To overcome the relatively large uncertainty associated with the reflection coefficient S11, the extracted imaginary permittivity (ε'') is fitted by the Drude model and the dielectric constant (ε') and permeability are recalculated.

AB - Multi-walled carbon nanotubes (MWNT) are characterized at X-band (8-12 GHz) by waveguide measurements. The scattering parameters (S-parameters) of thin MWNT papers containing a large ensemble of randomly oriented nanotubes are measured by a vector network analyzer. An extraction algorithm has been developed to compute the effective complex permittivity (ε= ε-j ε'') and permeability (μ = μ' -j μ'') of the MWNT papers from the measured S-parameters. The extracted effective medium parameters are verified by finite-element simulations using Ansoft HFSS. The uncertainties for this characterization method are analyzed. The extracted conductivity of the MWNT papers is on the order of 1500 S/m and the dielectric constant is on the order of-500. No significant magnetic responses are observed. To overcome the relatively large uncertainty associated with the reflection coefficient S11, the extracted imaginary permittivity (ε'') is fitted by the Drude model and the dielectric constant (ε') and permeability are recalculated.

KW - Conductivity

KW - Drude model

KW - MWNT

KW - Permeability

KW - Permittivity

KW - Waveguide

UR - http://www.scopus.com/inward/record.url?scp=34748856843&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34748856843&partnerID=8YFLogxK

U2 - 10.1109/MWSYM.2007.380341

DO - 10.1109/MWSYM.2007.380341

M3 - Conference contribution

AN - SCOPUS:34748856843

SN - 1424406889

SN - 9781424406883

SP - 1181

EP - 1184

BT - IEEE MTT-S International Microwave Symposium Digest

ER -