• Photonics Research
  • Vol. 5, Issue 6, 684 (2017)
Wenguo Zhu1、2、3, Mengjiang Jiang2、4, Heyuan Guan1、5, Jianhui Yu2, Huihui Lu2, Jun Zhang4, and Zhe Chen4
Author Affiliations
  • 1Guangdong Provincial Key Laboratory of Optical Fiber Sensing and Communications, Jinan University, Guangzhou 510632, China
  • 2Department of Optoelectronic Engineering, Jinan University, Guangzhou 510632, China
  • 3e-mail: zhuwg88@163.com
  • 4Key Laboratory of Optoelectronic Information and Sensing Technologies of Guangdong Higher Education Institutes, Jinan University, Guangzhou 510632, China
  • 5e-mail: ttguanheyuan@jnu.edu.cn
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    DOI: 10.1364/PRJ.5.000684 Cite this Article Set citation alerts
    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): 684 Copy Citation Text show less

    Abstract

    Optical spin splitting has attracted significant attention owing to its potential applications in quantum information and precision metrology. However, it is typically small and cannot be controlled efficiently. Here, we enhance the spin splitting by transmitting higher-order Laguerre–Gaussian (LG) beams through graphene metamaterial slabs. The interaction between LG beams and metamaterial results in an orbital-angular-momentum- (OAM) dependent spin splitting. The upper bound of the OAM-dependent spin splitting is found, which varies with the incident OAM and beam waist. Moreover, the spin splitting can be flexibly tuned by modulating the Fermi energy of the graphene sheets. This tunable spin splitting has potential applications in the development of spin-based applications and the manipulation of mid-infrared waves.
    ϵeff,//=ϵd+iσZ0λ2πd,(1a)

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    ϵeff,=ϵd,(1b)

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    σ=2e2kBTπ2iw+iτ1ln(2coshEF2kBT)+e24(12+1πtan1wEF2kBT)i2πln(w+2EF)2(w2EF)2+(2kBT)2.(2)

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    E˜t=Atsk[w0(iηktx+skty)2]||exp[(η2ktx2+kty2)w024][δskty|H+(kiηXsktx)|V],(3)

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    Et±=its2πw02||!exp[(xt2/η2+yt2)w02]{[1+Xsxt/η±δsytkw02/2][(xt/η+isyt)w0]||||[Xs±isδs]kw0[(xt/η+isyt)w0]|1|}|±.(4)

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    Δ±=η[Re(Xs)±Im(δs)]k[1+(||+1)(|Xs|2+|δs|2)/k2w02].(5)

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    Δup=ηw0||||+1.(6)

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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): 684
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