학술논문

Dielectric Constant Estimation of a Carbon Nanotube Layer on the Dielectric Rod Waveguide at Millimeter Wavelengths
Document Type
Periodical
Source
IEEE Transactions on Microwave Theory and Techniques IEEE Trans. Microwave Theory Techn. Microwave Theory and Techniques, IEEE Transactions on. 63(10):3265-3271 Oct, 2015
Subject
Fields, Waves and Electromagnetics
Conductivity
Permittivity
Mathematical model
Dielectric constant
Optical waveguides
Load modeling
Carbon nanotubes (CNTs)
dielectric rod waveguide (DRW)
millimeter (mm) waves
Language
ISSN
0018-9480
1557-9670
Abstract
A method has been developed to estimate dielectric properties of a layer containing carbon nanotubes (CNTs) randomly arranged in plane, deposited on a dielectric rod waveguide (DRW). In the framework of this method, a theoretical model of a layered DRW with extended narrow walls and perfect electric conductor walls was used to fit the experimental results. The experimental results were obtained by measuring the wave propagation characteristics (${ S}_{11}$ and ${ S}_{21}$) of a DRW unloaded and loaded with different CNT layers at 75–110 GHz. The developed model allows derivation of the dispersion equation of the wave excited in the loaded DRW in an analytical form. The propagation constant is then found numerically through the fitting process with measurement results. Additionally, the complex permittivity of the CNT layer can be estimated using the surface conductivity model of the CNT and mixing formulas. Both methods give reasonable and comparable results. The obtained results $(\varepsilon=1-{ j}5\times 10^{3})$ allow full-wave simulation (e.g., HFSS) of DRW structures loaded with CNT layers with a thickness of 60 nm or more. Simulation and measurement results agree rather well.