• Photonics Research
  • Vol. 9, Issue 4, 484 (2021)
Shuxia Zhao1, Lei Shao2, Jianfang Wang3, Hai-Qing Lin2,4,*, and Wei Zhang1,2,5,*
Author Affiliations
  • 1Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • 2Beijing Computational Science Research Center, Beijing 100193, China
  • 3Department of Physics, The Chinese University of Hong Kong, Shatin, Hong Kong SAR, China
  • 4e-mail: haiqing0@csrc.ac.cn
  • 5e-mail: zhang_wei@iapcm.ac.cn
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    DOI: 10.1364/PRJ.416015 Cite this Article Set citation alerts
    Shuxia Zhao, Lei Shao, Jianfang Wang, Hai-Qing Lin, Wei Zhang, "Chirality-selective transparency induced by lattice resonance in bilayer metasurfaces," Photonics Res. 9, 484 (2021) Copy Citation Text show less

    Abstract

    Chiral optical responses of bilayer metasurfaces made of twisted metallic nanorods are investigated in detail with focus on the collective effect due to lattice resonance (LR). Using an analytical approach based on the coupled dipole method (supported by full wave simulation), we find optical chirality is dramatically increased by the coupling between localized surface plasmon resonances and LR. The collective effect results in significant chiral signal even for metasurfaces made of achiral unit cells. The interlayer coupling generally destroys the Wood’s anomaly and the associated transparency. While making use of Pancharatnam–Berry (PB) phase and propagation phase, one can modulate the optical activity effectively and achieve chirality-selective transparency induced by LR in a designed structure with a g-factor of absorption as high as 1.99 (close to the upper limit of 2). Our studies not only reveal a new mechanism of modulating chiral optical response by combination effects from PB phase, propagation phase, and LR, but also give a quantitative relationship between the geometry configuration and chiral optical properties, thus providing helpful guidance for device design.
    1αPnA=F^A·(EnA+mnG^nmAAPmA+mG^nmABPmB),1αPnB=F^B·(EnB+mnG^nmBBPmB+mG^nmBAPmA),

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    G^(r)=(k2U^+)eikr4πr,

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    PL/RA=22ei(kz0±ϕ)H12+e±iθH(ϕ)H(θ)H(ϕ)H122E0e^A,PL/RB=22e±iθH12+ei(kz0±ϕ)H(θ)H(θ)H(ϕ)H122E0e^B,

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    eikrr=i2π1kzqei(q||r||+kzq|z|)dq||,

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    G^=j=0G^(rrj)=i8π2j=0k2U^qqkzqei[q||(rrj)+kzq|zzj|]dq||,

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    j=0eiq||r||j=(2π)2ALδ(q||L),

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    G^AA=limz0(i2ALk2U^LLkzleikzl|z|i2πk2U^qqkzqeikzq|z|dq||),G^AB=i2ALk2U^LLkzleikzl|z0|,

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    G^far=i2ALk2U^LLkzleiLr+ikzl|zzj|.

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    E(0,0)A/B=j=0G(rfarrjA/B)PjA/B=G^(0,0);A/BfarPA/B=ik2Aeik(zzA/B)PA/B.

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    T(0,0)=P(0,0)Pinc=|E0eikz+E(0,0)A+E(0,0)B|2|E0eikz|2=1σA+k24A2|E0|2|PA+eikz0PB|2.

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    σ=k|E0|2Im(E0A*PA+E0B*PB).

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    R(0,0)=P(0,0)(R)Pinc=|E(0,0)A+E(0,0)B|2|E0eikz|2=k24A2|E0|2|PA+eikz0PB|2.

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    p=P(r)dr,

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    m=iω2[r×P(r)]dr,

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    T=iω10{2r2P(r)[r·P(r)]r}dr,

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    D=p+ikcT,

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    1αPnA=F^A·(EnA+mnG^nmAAPmA).

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    PL/R=2e±iθ2H(θ)E0(cosθe^x+sinθe^y).

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    PL/RA=E02Δ(θ,ϕ){[ei(kz0±ϕθ)H12+ei(±θθ)H(ϕ)]e^L+[ei(kz0±ϕ+θ)H12+ei(±θ+θ)H(ϕ)]e^R},PL/RB=E02Δ(θ,ϕ){[ei(±θϕ)H12+ei(kz0±ϕϕ)H(θ)]e^L+[ei(±θ+ϕ)H12+ei(kz0±ϕ+ϕ)H(θ)]e^R},

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    PRB=E02Δ(θ,ϕ){[ei(θ+ϕ)H12+ei(kz02ϕ)H(θ)]e^L+[ei(ϕθ)H12+eikz0H(θ)]e^R]}

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    ei(kz0±ϕ)sinθsinϕe±iθsin2ϕ.

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    ei(kz0±ϕ)cosθcosϕe±iθcos2ϕ=0,

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    2cosθcosϕsinθsinϕ(cos2θsin2ϕ+cos2ϕsin2θ),

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    PL/RA=22ei(kz0±ϕ)G^xxABcos(θϕ)+e±iθ(1αG^xxAA)(1αG^xxAA)2[G^xxABcos(θϕ)]2E0e^A,PL/RB=22e±iθG^xxABcos(θϕ)+ei(kz0±ϕ)(1αG^xxAA)(1αG^xxAA)2[G^xxABcos(θϕ)]2E0e^B.

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    Shuxia Zhao, Lei Shao, Jianfang Wang, Hai-Qing Lin, Wei Zhang, "Chirality-selective transparency induced by lattice resonance in bilayer metasurfaces," Photonics Res. 9, 484 (2021)
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