Analysis of Mode Characteristics of Hybrid Dielectric Nano-Parallel Wires Based Waveguide Coated with Graphene

Ning Li; Wenrui Xue; Huiying Dong; Huihui Li; Changyong Li

doi:10.3788/AOS202242.1324001

Acta Optica Sinica, Volume. 42, Issue 13, 1324001(2022)

Analysis of Mode Characteristics of Hybrid Dielectric Nano-Parallel Wires Based Waveguide Coated with Graphene

Ning Li¹, Wenrui Xue^1、*, Huiying Dong¹, Huihui Li¹, and Changyong Li^1,2,3

Author Affiliations

¹School of Physics and Electronic Engineering, Shanxi University, Taiyuan 030006, Shanxi , China

²State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser-Spectroscopy, Shanxi University, Taiyuan 030006, Shanxi , China

³Collaborative Innovation Center of Extreme Optics, College of Physics and Electronic Engineering, Shanxi University, Taiyuan 030006, Shanxi , China

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Fig. 1. Schematic diagram of cross-section of hybrid dielectric nanowire waveguide coated with graphene

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Fig. 2. Synthesis, electric field z component, and electric field intensity distributions of five lowest-order modes. (a)-(e) Synthesis of five lowest-order modes; (f)-(j) electric field z component; (k)-(o) electric field intensity distributions

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$Rart part of effective refractive index Re(neff), propagation length, and figure of merit FOM of five lowest-order modes varying with operating wavelength λ, and electric field intensity distributions at wavelengths of 6.2, 7.0, and 7.8 μm. (a) Real part of effective refractive index Re(neff); (b) propagation length; (c) figure of merit FOM; electric field intensity distributions at wavelengths of (d) 6.2 μm, (e) 7.0 μm, and (f) 7.8 μm$

Fig. 3. Rart part of effective refractive index $R e (n_{e f f})$ , propagation length, and figure of merit FOM of five lowest-order modes varying with operating wavelength $λ$ , and electric field intensity distributions at wavelengths of 6.2, 7.0, and 7.8 μm. (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length; (c) figure of merit FOM; electric field intensity distributions at wavelengths of (d) $6.2 μ m$ , (e) $7.0 μ m$ , and (f) $7.8 μ m$

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$Real part of effective refractive index Re(neff), propagation length Lprop,and figure of merit FOM of five lowest-order modes varying with Fermi energy Ef, and electric field intensity distributions at Fermi energies Ef of 0.42, 0.50, and 0.58 eV. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions at Fermi energies Ef of (d) 0.42 eV, (e) 0.50 eV and (f) 0.58 eV$

Fig. 4. Real part of effective refractive index $R e (n_{e f f})$ , propagation length $L_{p r o p}$ ,and figure of merit FOM of five lowest-order modes varying with Fermi energy $E_{f}$ , and electric field intensity distributions at Fermi energies $E_{f}$ of 0.42, 0.50, and 0.58 eV. (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit FOM; electric field intensity distributions at Fermi energies $E_{f}$ of (d) $0.42 e V$ , (e) $0.50 e V$ and (f) $0.58 e V$

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$Real part of effective refractive index Re(neff), propagation length Lprop, and figure of merit FOM of five lowest-order modes varying with radius ρ0, and electric field intensity distributions at radii ρ0 of 84,100,116 nm. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions at radii ρ0 of (d) 84 nm, (e) 100 nm, and (f) 116 nm$

Fig. 5. Real part of effective refractive index $R e (n_{e f f})$ , propagation length $L_{p r o p}$ , and figure of merit FOM of five lowest-order modes varying with radius $ρ$ ₀, and electric field intensity distributions at radii $ρ$ ₀ of $84,$ $100,$ $116 n m$ . (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit FOM; electric field intensity distributions at radii $ρ$ ₀ of (d) $84 n m$ , (e) $100 n m$ , and (f) $116 n m$

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$Real part of effective refractive index Re(neff), propagation length Lprop,and figure of merit FOM of five lowest-order modes varying with elliptic nanowire semi-major axis a,and electric field intensity distributions at elliptic nanowire semi-major axis of 74,82, and 90 nm. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions at elliptic nanowire semi-major axis a of (d) 74 nm, (e) 82 nm, and (f) 90 nm$

Fig. 6. Real part of effective refractive index $R e (n_{e f f})$ , propagation length $L_{p r o p}$ ,and figure of merit FOM of five lowest-order modes varying with elliptic nanowire semi-major axis a,and electric field intensity distributions at elliptic nanowire semi-major axis of $74,$ $82,$ and $90 n m$ . (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit FOM; electric field intensity distributions at elliptic nanowire semi-major axis a of (d) $74 n m$ , (e) $82 n m$ , and (f) $90 n m$

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$Real part of effective refractive index Re(neff), propagation length Lprop,and figure of merit FOM of five lowest-order modes varying with elliptical nanowire semi-minor axis b, and electric field intensity distributions at semi-minor axis b of 62, 70, and 78 nm. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions at semi-minor axis b of (d) 62 nm, (e) 70 nm, and (f) 78 nm$

Fig. 7. Real part of effective refractive index $R e (n_{e f f})$ , propagation length $L_{p r o p}$ ,and figure of merit FOM of five lowest-order modes varying with elliptical nanowire semi-minor axis b, and electric field intensity distributions at semi-minor axis $b$ of $62,$ 70, and $78 n m$ . (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit FOM; electric field intensity distributions at semi-minor axis $b$ of (d) 62 nm, (e) 70 nm, and (f) 78 nm

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$Real part of effective refractive index Re(neff), propagation length Lprop,and figure of merit FOM of five lowest-order modes varying with distance c, and electric field intensity distributions at distances c of 210, 230, and 250 nm. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions at distances c of (d) 210 nm, (e) 230 nm, and (f) 250 nm$

Fig. 8. Real part of effective refractive index $R e (n_{e f f})$ , propagation length $L_{p r o p}$ ,and figure of merit FOM of five lowest-order modes varying with distance $c$ , and electric field intensity distributions at distances $c$ of 210, 230, and 250 nm. (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit FOM; electric field intensity distributions at distances $c$ of (d) $210 n m$ , (e) $230 n m$ , and (f) $250 n m$

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$Real part of effective refractive index Re(neff), propagation length Lprop,and figure of merit FOM of five lowest-order modes varying with height h, and electric field intensity distributions at heights h of 0, 40, and 80 nm. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions at heights h of (d) 0 nm, (e) 40 nm, and (f) 80 nm$

Fig. 9. Real part of effective refractive index $R e (n_{e f f})$ , propagation length $L_{p r o p}$ ,and figure of merit FOM of five lowest-order modes varying with height h, and electric field intensity distributions at heights $h$ of 0, 40, and 80 nm. (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit FOM; electric field intensity distributions at heights $h$ of (d) $0 n m$ , (e) $40 n m$ , and (f) $80 n m$

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$Comparison of real part of effective refractive index Re(neff), propagation length Lprop,and figure of merit FOM of mode 1 supported by struct1 and struct2 varying with operating wavelength λ, and electric field intensity distributions of mode 1 supported by struct1 and struct2 at wavelength of 7.8 μm. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions of mode 1 supported by (d) struct1 and (e) struct2 at wavelength of 7.8 μm$

Fig. 10. Comparison of real part of effective refractive index $R e (n_{e f f})$ , propagation length $L_{p r o p}$ ,and figure of merit $F O M$ of mode 1 supported by struct1 and struct2 varying with operating wavelength λ, and electric field intensity distributions of mode 1 supported by struct1 and struct2 at wavelength of $7.8 μ m$ . (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit $F O M$ ; electric field intensity distributions of mode 1 supported by (d) struct1 and (e) struct2 at wavelength of $7.8 μ m$

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$Comparison of real part of effective refractive index Re(neff),propagation lengthLprop,and figure of merit FOM of mode 1 supported by struct1 and struct2 varying with Fermi energy Ef, and electric field intensity distributions of mode 1 supported by struct1 and struct2 at Fermi energy of 0.58 eV. (a) Real part of effective refractive index Re(neff); (b) propagation length Lprop; (c) figure of merit FOM; electric field intensity distributions of mode 1 supported by (d) struct1 and (e) struct2 at Fermi energy of 0.58 eV$

Fig. 11. Comparison of real part of effective refractive index $R e (n_{e f f})$ ,propagation length $L_{p r o p}$ ,and figure of merit FOM of mode 1 supported by struct1 and struct2 varying with Fermi energy E_f, and electric field intensity distributions of mode 1 supported by struct1 and struct2 at Fermi energy of $0.58 e V$ . (a) Real part of effective refractive index $R e (n_{e f f})$ ; (b) propagation length $L_{p r o p}$ ; (c) figure of merit FOM; electric field intensity distributions of mode 1 supported by (d) struct1 and (e) struct2 at Fermi energy of $0.58 e V$

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Ning Li, Wenrui Xue, Huiying Dong, Huihui Li, Changyong Li. Analysis of Mode Characteristics of Hybrid Dielectric Nano-Parallel Wires Based Waveguide Coated with Graphene[J]. Acta Optica Sinica, 2022, 42(13): 1324001

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Paper Information

Category: Optics at Surfaces

Received: Oct. 15, 2021

Accepted: Dec. 30, 2021

Published Online: Jul. 15, 2022

The Author Email: Xue Wenrui (wrxue@sxu.edu.cn)

DOI:10.3788/AOS202242.1324001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology