• Photonics Research
  • Vol. 8, Issue 5, 729 (2020)
Jiali Liao1、2、5、*, Yang Gao3, Yanling Sun1, Lin Ma1, Zhenzhong Lu1, and Xiujian Li4、6、*
Author Affiliations
  • 1School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, China
  • 2State Key Laboratory of Pulsed Power Laser Technology, Hefei 230037, China
  • 3Xi’an Research Institute of High Technology, Xi’an 710025, China
  • 4College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China
  • 5e-mail: liaojiali@xidian.edu.cn
  • 6e-mail: xjli@nudt.edu.cn
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    DOI: 10.1364/PRJ.381371 Cite this Article Set citation alerts
    Jiali Liao, Yang Gao, Yanling Sun, Lin Ma, Zhenzhong Lu, Xiujian Li. Effects of third-order dispersion on temporal soliton compression in dispersion-engineered silicon photonic crystal waveguides[J]. Photonics Research, 2020, 8(5): 729 Copy Citation Text show less
    (a) Design schematic of silica-clad slow-light PhCWs and (b) cross sectional view.
    Fig. 1. (a) Design schematic of silica-clad slow-light PhCWs and (b) cross sectional view.
    (a) Band diagram of the initial silica-clad PhCWs with no lattice shifts and (b) the spatial mode profiles of the odd and even modes at normalized wave vector k=0.46 corresponding to the points marked by A and B. The light line is denoted by the dark dot line in (a), with the light core of the PhCWs denoted by gray area above the light line.
    Fig. 2. (a) Band diagram of the initial silica-clad PhCWs with no lattice shifts and (b) the spatial mode profiles of the odd and even modes at normalized wave vector k=0.46 corresponding to the points marked by A and B. The light line is denoted by the dark dot line in (a), with the light core of the PhCWs denoted by gray area above the light line.
    Band diagrams of the y-even mode for the designed silica-clad slow-light PhCWs with various shifts of hole rows. (a) Band diagrams with shifts of the hole rows numbered by +1 and −1, δx1 ranging from 0.05a to 0.2a. (b) Band diagrams with shifts of the hole rows numbered by +2 and −2, δx2 ranging from 0.1a to 0.2a, with a fixed δx1=0.1a. The gray area denotes the light core above the light line (green dotted line).
    Fig. 3. Band diagrams of the y-even mode for the designed silica-clad slow-light PhCWs with various shifts of hole rows. (a) Band diagrams with shifts of the hole rows numbered by +1 and 1, δx1 ranging from 0.05a to 0.2a. (b) Band diagrams with shifts of the hole rows numbered by +2 and 2, δx2 ranging from 0.1a to 0.2a, with a fixed δx1=0.1a. The gray area denotes the light core above the light line (green dotted line).
    Dispersion properties of the designed PhCWs. (a) The group index of the y-even mode versus wavelength for the case of the shifts of the hole rows numbered by +2 and −2,δx2 ranging from 0 to 0.2a with a fixed δx1=0.1a. (b) GVD coefficient (left axis) and the TOD coefficient (right axis) with optimized shifts δx1=δx2=0.1a. The dispersion parameters of the three considered wavelengths are marked by red triangles (1545 nm), green squares (1550 nm), and blue dots (1555 nm), respectively.
    Fig. 4. Dispersion properties of the designed PhCWs. (a) The group index of the y-even mode versus wavelength for the case of the shifts of the hole rows numbered by +2 and 2,δx2 ranging from 0 to 0.2a with a fixed δx1=0.1a. (b) GVD coefficient (left axis) and the TOD coefficient (right axis) with optimized shifts δx1=δx2=0.1a. The dispersion parameters of the three considered wavelengths are marked by red triangles (1545 nm), green squares (1550 nm), and blue dots (1555 nm), respectively.
    Temporal intensity profiles and spectra of the input and output pulses with optimal temporal pulse compression. (a), (b) 1545 nm, input pulse energy of 18.3 pJ; (c), (d) 1550 nm, input pulse energy of 15.9 pJ; and (e), (f) 1555 nm, input pulse energy of 10.8 pJ.
    Fig. 5. Temporal intensity profiles and spectra of the input and output pulses with optimal temporal pulse compression. (a), (b) 1545 nm, input pulse energy of 18.3 pJ; (c), (d) 1550 nm, input pulse energy of 15.9 pJ; and (e), (f) 1555 nm, input pulse energy of 10.8 pJ.
    (a) Temporal and (b) spectral intensity profiles of the output pulses for increasing coupled pulse energies from 4 pJ to 20 pJ, at 1550 nm. The input pulse profiles are also shown in the figure bottom by black curves, and the labels denote the input pulse energies.
    Fig. 6. (a) Temporal and (b) spectral intensity profiles of the output pulses for increasing coupled pulse energies from 4 pJ to 20 pJ, at 1550 nm. The input pulse profiles are also shown in the figure bottom by black curves, and the labels denote the input pulse energies.
    Effects of TOD on the temporal compressed high-order solitons. The temporal intensity profiles of the compressed pulses with or without TOD, at (a) 1545 nm, (b) 1550 nm, and (c) 1555 nm.
    Fig. 7. Effects of TOD on the temporal compressed high-order solitons. The temporal intensity profiles of the compressed pulses with or without TOD, at (a) 1545 nm, (b) 1550 nm, and (c) 1555 nm.
    Pulse width of the compressed temporal high-order solitons, within different TOD regions. Pulse width as a function of input pulse energies at (a) 1545 nm, (b) 1550 nm, and (c) 1555 nm. Dark solid lines with squares represent the full NLSE simulation, red lines with dots represent neglecting TOD, blue lines with upper triangles represent neglecting FCD, and olive lines with lower triangles represent neglecting both TOD and FCD.
    Fig. 8. Pulse width of the compressed temporal high-order solitons, within different TOD regions. Pulse width as a function of input pulse energies at (a) 1545 nm, (b) 1550 nm, and (c) 1555 nm. Dark solid lines with squares represent the full NLSE simulation, red lines with dots represent neglecting TOD, blue lines with upper triangles represent neglecting FCD, and olive lines with lower triangles represent neglecting both TOD and FCD.
    Soliton compressed pulse width versus coefficient of TOD perturbation δ3 [δ3=|β3|/(6|β2|T0)], at (a) 1550 nm and (b) 1555 nm. Olive and purple dots denote the cases of this manuscript. Blue solid curve with squares in (b) is the case in which the sign of β3 is only changed in the model manually.
    Fig. 9. Soliton compressed pulse width versus coefficient of TOD perturbation δ3 [δ3=|β3|/(6|β2|T0)], at (a) 1550 nm and (b) 1555 nm. Olive and purple dots denote the cases of this manuscript. Blue solid curve with squares in (b) is the case in which the sign of β3 is only changed in the model manually.
    Pulse acceleration at (a) 1545 nm, (b) 1550 nm, and (c) 1555 nm. We show the full NLSE simulation result (solid black line), TOD off (dashed red line), FCD off (blue dotted line), both TOD and FCD off (green dot–dashed line), and free-carrier effects off (purple dot–dashed line).
    Fig. 10. Pulse acceleration at (a) 1545 nm, (b) 1550 nm, and (c) 1555 nm. We show the full NLSE simulation result (solid black line), TOD off (dashed red line), FCD off (blue dotted line), both TOD and FCD off (green dot–dashed line), and free-carrier effects off (purple dot–dashed line).
    Jiali Liao, Yang Gao, Yanling Sun, Lin Ma, Zhenzhong Lu, Xiujian Li. Effects of third-order dispersion on temporal soliton compression in dispersion-engineered silicon photonic crystal waveguides[J]. Photonics Research, 2020, 8(5): 729
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