• Acta Photonica Sinica
  • Vol. 50, Issue 4, 128 (2021)
Zhenjuan LIU1, Haohao WANG1, Yanan DAI1, Zhiqing ZHANG1, Yishan WANG2, and Xinyuan QI1
Author Affiliations
  • 1School of Physics, Northwestern University, Xi'an70027, China
  • 2State Key Laboratory of Transient Optics and Photonics, Xi'an Institute of Optics and Mechanics, Chinese Academy of Sciences, Xi'an710119, China
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    DOI: 10.3788/gzxb20215004.0423003 Cite this Article
    Zhenjuan LIU, Haohao WANG, Yanan DAI, Zhiqing ZHANG, Yishan WANG, Xinyuan QI. Bifurcation-tunable Diffractionless Light Propagation in One-dimensional Non-Hermitian Photonic Lattice[J]. Acta Photonica Sinica, 2021, 50(4): 128 Copy Citation Text show less

    Abstract

    The light bifurcation transmission without diffraction in one-dimensional periodic compound photonic lattice was studied theoretically and numerically. When the lattice equals to degenerated Su-Schrieffer-Heeger model, the incident light with the wave number k=±π will bifurcate into two symmetric branches without any diffractionand the angles between two beams can be controlled by the coupling J between two lattice sites. In addition, a modulation phase ϕ is introduced. When the non-Hermitian perturbations satisfy the parity-time symmetry, the diffractionless light bifurcation phenomenon with any incident light wave can be realized as long as the incident wave vector k and the modulation phase ϕ respect the expression k+ϕ=±π. Further studies have shown that the next-nearest coupling can control the transmission angle and power division of two branches. This research provides new ideas for the design of optical switches and future all-optical paths.
    H'=2κcosk+βa,nJ(1+e-ik)δ0J(1+eik)2κcosk+βb,n0δδεβρ1,n0εδ0βρ2,n(1)

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    idΨn'dz=H'Ψn'(2)

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    ρ1,n-(δan+εbn)βρ1,nρ2,n-(εan+δbn)βρ2,n(3)

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    H=2κcos kJ(e-ik+e-iφ)J(eik+eiφ)2κcos k(4)

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    ω(k,φ)=2κcos k±2Jcosk+φ2(5)

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    vg(k,φ)=ω(k,φ)k=-2κsin k±Jsink+φ2(6)

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    θmax=2arctan(J)(7)

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    GVD(k,φ)=vg(k,φ)k=-2κcos k±J2cosk+φ2(8)

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    y=-11.98x3+50.66x2-69.33x+31.23(9)

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    Zhenjuan LIU, Haohao WANG, Yanan DAI, Zhiqing ZHANG, Yishan WANG, Xinyuan QI. Bifurcation-tunable Diffractionless Light Propagation in One-dimensional Non-Hermitian Photonic Lattice[J]. Acta Photonica Sinica, 2021, 50(4): 128
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