Tunable spin splitting of Laguerre–Gaussian beams in graphene metamaterials

Wenguo Zhu; Mengjiang Jiang; Heyuan Guan; Jianhui Yu; Huihui Lu; Jun Zhang; Zhe Chen

doi:doi:10.1364/PRJ.5.000684

Photonics Research, 2017, 5 (6): 06000684, Published Online: Dec. 7, 2017

Tunable spin splitting of Laguerre–Gaussian beams in graphene metamaterials Download： 737次

Wenguo Zhu ^1,2,3Mengjiang Jiang ^2,4Heyuan Guan ^1,5Jianhui Yu ²Huihui Lu ²Jun Zhang ⁴Zhe Chen ⁴

Author Affiliations

¹ Guangdong Provincial Key Laboratory of Optical Fiber Sensing and Communications, Jinan University, Guangzhou 510632, China

² Department of Optoelectronic Engineering, Jinan University, Guangzhou 510632, China

³ e-mail: zhuwg88@163.com

⁴ Key Laboratory of Optoelectronic Information and Sensing Technologies of Guangdong Higher Education Institutes, Jinan University, Guangzhou 510632, China

⁵ e-mail: ttguanheyuan@jnu.edu.cn

Figures & Tables

Fig. 1. (a) Schematic of the OAM-dependent spin splitting. A vertically polarized LG beam is coupled into a graphene metamaterial slab through a CaF2 prism. The two opposite spin components of the transmitted beam will separate along the xt axis. (b) The intensity distributions of the RCP and LCP components of the incident and transmitted beams along the xi and xt axes, respectively. (c) The graphene metamaterial composed of alternating graphene sheets and Al2O3 layers.

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Fig. 2. (a) Changes of the normalized OAM-dependent spin splitting Δ/Δup with the incident angle θi and thickness of metamaterial d when w0=180 μm. (b) The dependences of Δ/Δup on θi for w0=90 μm (red color), 225 μm (blue color), and 450 μm (green color). In our calculations, ℓ=1, EF=0.335 eV, d=7.5 μm, and λ=4.509 μm.

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Fig. 3. (a) Changes of the spin splitting Δ (red dots) and its upper bounds Δup (blue dots) with the incident OAM ℓ for θi=33° and d=7.5 μm. (b) The normalized spin splitting Δ/Δup changing with the incident angle θi for OAM ℓ=±10 (red color), ±5 (blue color), ±1 (green color), and 0 (black color).

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Fig. 4. (a) Dependences of the normalized spin splitting Δ/Δup on the Fermi energy EF for ℓ=−3 and d=7.2 μm (red color), 8.3 μm (blue color), and 9.0 μm (green color). (b) The normalized intensities of the RCP (solid lines) and LCP (dotted lines) components of the transmitted beams along the xt axis for d=8.3 μm and EF=0.275 eV (red color), 0.299 eV (blue color), 0.318 eV (green color), 0.356 eV (pink color), and 0.4 eV (black color).

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Fig. 5. Spin splitting Δ changing with the wavelength λ when EF=0.3 eV (red color), 0.335 eV (blue color), 0.38 eV (green color), and 0.45 eV (black color). The inset shows the real part of in-plane permittivity of the graphene metamaterial Re[ϵeff,//] changing with λ for different values of EF.

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Wenguo Zhu, Mengjiang Jiang, Heyuan Guan, Jianhui Yu, Huihui Lu, Jun Zhang, Zhe Chen. Tunable spin splitting of Laguerre–Gaussian beams in graphene metamaterials[J]. Photonics Research, 2017, 5(6): 06000684.

Tunable spin splitting of Laguerre–Gaussian beams in graphene metamaterials Download： 737次

Fig. 5. Spin splitting Δ changing with the wavelength λ when EF=0.3 eV (red color), 0.335 eV (blue color), 0.38 eV (green color), and 0.45 eV (black color). The inset shows the real part of in-plane permittivity of the graphene metamaterial Re[ϵeff,//] changing with λ for different values of EF.

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