• Chinese Optics Letters
  • Vol. 19, Issue 4, 042601 (2021)
Ye Yu1, Yiwen Song1, Tao Chen1, Huaiqiang Wang2、*, Songlin Zhuang1, and Qingqing Cheng1、**
Author Affiliations
  • 1School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
  • 2National Laboratory of Solid State Microstructures, School of Physics, Nanjing University, Nanjing 210093, China
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    DOI: 10.3788/COL202119.042601 Cite this Article Set citation alerts
    Ye Yu, Yiwen Song, Tao Chen, Huaiqiang Wang, Songlin Zhuang, Qingqing Cheng. Floquet spectrum and optical behaviors in dynamic Su–Schrieffer–Heeger modeled waveguide array[J]. Chinese Optics Letters, 2021, 19(4): 042601 Copy Citation Text show less
    Schematic illustration of a periodically bent silicon waveguide array with a cosine modulation of the spacing G between adjacent waveguides in the propagation direction z to illustrate the band structure of the waveguide array at different frequencies. The inset magnifies the rectangular waveguide structure with parameters P = 5 μm, H = 220 nm, and W=500 nm.
    Fig. 1. Schematic illustration of a periodically bent silicon waveguide array with a cosine modulation of the spacing G between adjacent waveguides in the propagation direction z to illustrate the band structure of the waveguide array at different frequencies. The inset magnifies the rectangular waveguide structure with parameters P = 5μm, H = 220nm, and W=500nm.
    (a) Quasi-energies under open-boundary conditions with 40 waveguides where the bandwidth Δ is taken as the energy unit. (b) The momentum space quasi-energy band structure (blue solid lines) of the five chosen frequency replicas and the straight cases with ω/Δ=1/6, ω/Δ=1/3, ω/Δ=1/2, ω/Δ=1, ω/Δ=1.6, and ω/Δ=0. Red dashed lines correspond to the case with no dimerization (δκ=0) and uncoupled Floquet replicas to guide the eye for each Floquet replica. (c) The dynamic evolution of the array system for the 20 waveguides with the six frequencies shown in (b).
    Fig. 2. (a) Quasi-energies under open-boundary conditions with 40 waveguides where the bandwidth Δ is taken as the energy unit. (b) The momentum space quasi-energy band structure (blue solid lines) of the five chosen frequency replicas and the straight cases with ω/Δ=1/6, ω/Δ=1/3, ω/Δ=1/2, ω/Δ=1, ω/Δ=1.6, and ω/Δ=0. Red dashed lines correspond to the case with no dimerization (δκ=0) and uncoupled Floquet replicas to guide the eye for each Floquet replica. (c) The dynamic evolution of the array system for the 20 waveguides with the six frequencies shown in (b).
    FDTD simulations of Ez evolution patterns after injecting light from the upmost boundary waveguide under different driving conditions with the same length of L = 600 μm. (a) The results for the curved (nΛ = 9) and straight (nΛ = 0) waveguide arrays with waveguide number N=8. (b) The blue solid and red dashed lines correspond to the propagation of each array, where the black and green lines represent the light propagation direction with the driving frequency (nΛ = 9 and nΛ = 0). (c) FDTD simulation of the amplitude profiles for the N=4 waveguide array with nΛ = 9, Gmax = 460 μm, and Gmin = 260 μm. (d) The results for the straight N=4 waveguide array with the adiabatic elimination effect.
    Fig. 3. FDTD simulations of Ez evolution patterns after injecting light from the upmost boundary waveguide under different driving conditions with the same length of L = 600μm. (a) The results for the curved (nΛ = 9) and straight (nΛ = 0) waveguide arrays with waveguide number N=8. (b) The blue solid and red dashed lines correspond to the propagation of each array, where the black and green lines represent the light propagation direction with the driving frequency (nΛ = 9 and nΛ = 0). (c) FDTD simulation of the amplitude profiles for the N=4 waveguide array with nΛ = 9, Gmax = 460μm, and Gmin = 260μm. (d) The results for the straight N=4 waveguide array with the adiabatic elimination effect.
    FDTD simulations of Ez evolution patterns when injecting light from the upmost boundary waveguide, with different driving periodic numbers at the same length of L = 600 μm in simulation. The black dashed circles in (b) and (c) show that the localized field profile exhibits a periodic oscillation pattern between the two boundary waveguides.
    Fig. 4. FDTD simulations of Ez evolution patterns when injecting light from the upmost boundary waveguide, with different driving periodic numbers at the same length of L = 600μm in simulation. The black dashed circles in (b) and (c) show that the localized field profile exhibits a periodic oscillation pattern between the two boundary waveguides.
    Ye Yu, Yiwen Song, Tao Chen, Huaiqiang Wang, Songlin Zhuang, Qingqing Cheng. Floquet spectrum and optical behaviors in dynamic Su–Schrieffer–Heeger modeled waveguide array[J]. Chinese Optics Letters, 2021, 19(4): 042601
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