Realization of a multiband metamaterial waveguide based on dirac semimetal in the 800~1100nm range

Min ZHONG; Xian-Chun SHI

doi:10.11972/j.issn.1001-9014.2020.05.007

Journals >Journal of Infrared and Millimeter Waves >Volume 39 >Issue 5 >Page 576 > Article

Journal of Infrared and Millimeter Waves
Vol. 39, Issue 5, 576 (2020)

Realization of a multiband metamaterial waveguide based on dirac semimetal in the 800~1100nm range

Min ZHONG^1、* and Xian-Chun SHI²

Author Affiliations

¹Hezhou University， Hezhou542899， China

²School of Mechanical Engineering， Anhui University of Science and Technology，Huainan232001， China

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DOI: 10.11972/j.issn.1001-9014.2020.05.007 Cite this Article

Min ZHONG, Xian-Chun SHI. Realization of a multiband metamaterial waveguide based on dirac semimetal in the 800~1100nm range[J]. Journal of Infrared and Millimeter Waves, 2020, 39(5): 576 Copy Citation Text

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Abstract

In this paper， a metamaterial waveguide with four square hole resonators based on Dirac semimetal layers is proposed in the 800~1100nm range. Four transmission peaks （70%， 61%， 72%， and 63%） are achieved at resonance wavelengths 842nm， 921nm， 1010nm， and 1061nm， respectively. These transmission peaks are originated from the interference effect of magnetic fields distributed in the main cavity and cavities 1， 2， 3， or 4. These transmission peaks can be enhanced and moved to shorter wavelengths through increasing the Fermi energy. The proposed metamaterial waveguide can be applied in nanoscale filter， switch， or refractive index sensor.

Keywords

metamaterials transmission waveguide

R e σ (Ω) = \frac{g k_{F} e^{2}}{24 π ℏ} Ω G (\frac{Ω}{2})

(1)

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I m σ (Ω) = \frac{g k_{F} e^{2}}{24 π^{2} ℏ} \{\frac{4}{Ω} [1 + \frac{π^{2}}{3} {(\frac{T}{E_{F}})}^{2}] + 8 Ω \int_{0}^{ε_{c}} [\frac{G (ε) - G (Ω - 2)}{Ω^{2} - 4 ε^{2}}] ε d ε\}

(2)

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ε = ε_{b} + i σ / ω ε_{0}

(3)

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\frac{ε_{o} p}{ε_{m} k} = \frac{1 - e x p (k d)}{1 + e x p (k d)}

(4)

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k = (β^{2} - ε_{o} k_{o}^{2})^{1 / 2}

(5)

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p = (β^{2} - ε_{m} k_{o}^{2})^{1 / 2}

(6)

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\frac{d A}{d t} = k_{e 1} S_{1} + k_{e 2} S_{2} + k_{e 3} B + k_{e 4} C + k_{e 5} D + k_{e 6} E + [j ω_{A} - k_{o 1}^{2} - k_{e 1}^{2} - k_{e 2}^{2} - k_{e 3}^{2} - k_{e 4}^{2} - k_{e 5}^{2} - k_{e 6}^{2}] \times A

(7)

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\frac{d B}{d t} = (j ω_{B} - k_{o 2}^{2} - k_{e 3}^{2}) \cdot B + k_{e 3} A

(8)

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\frac{d C}{d t} = (j ω_{C} - k_{o 3}^{2} - k_{e 4}^{2}) \cdot C + k_{e 4} A

(9)

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\frac{d D}{d t} = (j ω_{D} - k_{o 3}^{2} - k_{e 5}^{2}) \cdot D + k_{e 5} A

(10)

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\frac{d E}{d t} = (j ω_{D} - k_{o 4}^{2} - k_{e 6}^{2}) \cdot E + k_{e 6} A

(11)

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T = {|\frac{S_{2 -}}{S_{1 +}}|}^{2} = {|k_{e 1} k_{e 2} / \begin{array}{l} [j (ω - ω_{A}) + k_{o 1}^{2} + k_{e 1}^{2} + k_{e 2}^{2} + k_{e 3}^{2} + k_{e 4}^{2} + k_{e 5}^{2}] - \\ k_{e 3}^{2} / [j (ω - ω_{B}) + k_{o 2}^{2} + k_{e 3}^{2}] - k_{e 4}^{2} / [j (ω - ω_{C}) + k_{o 3}^{2} + k_{e 4}^{2}] - \\ k_{e 5}^{2} / [j (ω - ω_{D}) + k_{o 4}^{2} + k_{e 5}^{2}] - k_{e 6}^{2} / [j (ω - ω_{E}) + k_{o 5}^{2} + k_{e 6}^{2}] \end{array}|}^{2}

(12)

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ω = ω_{A}^{} = ω_{B}

(13)

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\frac{△ ω}{ω_{o}} = \frac{ω - ω_{o}}{ω_{o}} \approx \frac{- ∭_{V}^{} d V [(△ \vec{ε} \cdot \vec{E}) \cdot {\vec{E}}_{o} + (△ \vec{μ} \cdot \vec{H}) \cdot {\vec{H}}_{o}^{*}]}{∭ d V (ε {|{\vec{E}}_{o}|}^{2} + μ {|{\vec{H}}_{o}|}^{2})}

(14)

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Min ZHONG, Xian-Chun SHI. Realization of a multiband metamaterial waveguide based on dirac semimetal in the 800~1100nm range[J]. Journal of Infrared and Millimeter Waves, 2020, 39(5): 576

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