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Chinese Journal of Lasers, Volume. 49, Issue 9, 0906002(2022)

Design and Simulation Analysis of Laguerre Gaussian Mode Demultiplexing Hybrid Based on Multi-Plane Light Conversion

Daifang Guo1, Peng Zhang1,2,3、*, Xiyu Gong1, Yunlong Fan1, and Shoufeng Tong1,3
Author Affiliations
  • 1School of Optoelectronic Engineering, Changchun University of Technology, Changchun 130022, Jilin, China
  • 2School of Electronic Information Engineering, Changchun University of Technology, Changchun 130022, Jilin, China
  • 3National and Local Joint Engineering Centre of Space Optoelectronic Technology, Changchun University of Technology, Changchun 130022, Jilin, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (28)
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    References (40)
    Cited By (3)
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    Figures & Tables(28)
    Schematic of multiplane light conversion

    Fig. 1. Schematic of multiplane light conversion

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    Flow chart of wavefront matching algorithm[13]

    Fig. 2. Flow chart of wavefront matching algorithm[13]

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    Schematic of mode demultiplexing mixing input-output port of sinusoidal LG mode

    Fig. 3. Schematic of mode demultiplexing mixing input-output port of sinusoidal LG mode

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    Intensity distribution diagrams of mode demultiplexing hybrid. (a) Intensity distribution after passing through the first phase plate; (b) intensity distribution after passing through the second phase plate; (c) intensity distribution after passing through the third phase plate; (d) intensity distribution after passing through the fourth phase plate

    Fig. 4. Intensity distribution diagrams of mode demultiplexing hybrid. (a) Intensity distribution after passing through the first phase plate; (b) intensity distribution after passing through the second phase plate; (c) intensity distribution after passing through the third phase plate; (d) intensity distribution after passing through the fourth phase plate

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    Phase mask. (a) Phase mask of the first phase plate; (b) phase mask of the second phase plate; (c) phase mask of the third phase plate; (d) phase mask of the fourth phase plate

    Fig. 5. Phase mask. (a) Phase mask of the first phase plate; (b) phase mask of the second phase plate; (c) phase mask of the third phase plate; (d) phase mask of the fourth phase plate

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    Light intensity distributions at the input end of signal light and local oscillator light. (a) Light intensity distribution of LG10; (b) light intensity distribution of LG20; (c) light intensity distribution of LO

    Fig. 6. Light intensity distributions at the input end of signal light and local oscillator light. (a) Light intensity distribution of LG10; (b) light intensity distribution of LG20; (c) light intensity distribution of LO

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    Light intensity distributions at the output end of signal light and local oscillator light. (a) Light intensity distribution of LG10 output terminal; (b) light intensity distribution of LG20 output terminal; (c) light intensity distribution of LO output terminal

    Fig. 7. Light intensity distributions at the output end of signal light and local oscillator light. (a) Light intensity distribution of LG10 output terminal; (b) light intensity distribution of LG20 output terminal; (c) light intensity distribution of LO output terminal

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    Amplitude distributions of light spots at the output end of signal light and local oscillator light. (a) Amplitude distributions of light spots at the output end of LG10 and LO (first column); (b) amplitude distributions of light spots at the output end of LG20 and LO (second column)

    Fig. 8. Amplitude distributions of light spots at the output end of signal light and local oscillator light. (a) Amplitude distributions of light spots at the output end of LG10 and LO (first column); (b) amplitude distributions of light spots at the output end of LG20 and LO (second column)

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    Phase distributions of light spots at the output end of signal light and local oscillator light. (a) Phase distribution of light spots at the output end of LG10 and LO (first column); (b) phase distribution of light spots at the output end of LG20 and LO (second column)

    Fig. 9. Phase distributions of light spots at the output end of signal light and local oscillator light. (a) Phase distribution of light spots at the output end of LG10 and LO (first column); (b) phase distribution of light spots at the output end of LG20 and LO (second column)

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    Coupling matrix of normalized ideal field and output field

    Fig. 10. Coupling matrix of normalized ideal field and output field

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    Relationship curve between insertion loss (IL) or mode dependent loss (MDL) and the number of phase plates. (a) Relationship curve between IL and the number of phase plates; (b) relationship curve between MDL and the number of phase plates

    Fig. 11. Relationship curve between insertion loss (IL) or mode dependent loss (MDL) and the number of phase plates. (a) Relationship curve between IL and the number of phase plates; (b) relationship curve between MDL and the number of phase plates

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    Variations of coupling coefficient, ΔLi, IL, MDL with wavelength. (a) Relationship curve between coupling coefficient and wavelength; (b) relationship curve between ΔLi and wavelength; (c) relationship curve between IL and wavelength; (d) relationship curve between MDL and wavelength

    Fig. 12. Variations of coupling coefficient, ΔLi, IL, MDL with wavelength. (a) Relationship curve between coupling coefficient and wavelength; (b) relationship curve between ΔLi and wavelength; (c) relationship curve between IL and wavelength; (d) relationship curve between MDL and wavelength

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    Variation of coupling coefficient, ΔLi, IL, and MDL with pixel size. (a) Relationship curves between coupling coefficient and pixel size; (b) relationship curves between ΔLi and pixel size; (c) relationship curve between IL and pixel size; (d) relationship curve between MDL and pixel size

    Fig. 13. Variation of coupling coefficient, ΔLi, IL, and MDL with pixel size. (a) Relationship curves between coupling coefficient and pixel size; (b) relationship curves between ΔLi and pixel size; (c) relationship curve between IL and pixel size; (d) relationship curve between MDL and pixel size

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    Schematic of mode demultiplexing mixing input-output port of OAM mode

    Fig. 14. Schematic of mode demultiplexing mixing input-output port of OAM mode

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    Intensity distributions of mode demultiplexing hybrid. (a) Light intensity distribution after passing through the first phase plate; (b) light intensity distribution after passing through the second phase plate; (c) light intensity distribution after passing through the third phase plate; (d) light intensity distribution after passing through the fourth phase plate

    Fig. 15. Intensity distributions of mode demultiplexing hybrid. (a) Light intensity distribution after passing through the first phase plate; (b) light intensity distribution after passing through the second phase plate; (c) light intensity distribution after passing through the third phase plate; (d) light intensity distribution after passing through the fourth phase plate

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    Phase mask diagrams. (a) Phase mask of the first phase plate; (b) phase mask of the second phase plate; (c) phase mask of the third phase plate; (d) phase mask of the fourth phase plate

    Fig. 16. Phase mask diagrams. (a) Phase mask of the first phase plate; (b) phase mask of the second phase plate; (c) phase mask of the third phase plate; (d) phase mask of the fourth phase plate

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    Light intensity distributions of signal light and local oscillator light input terminals. (a) Light intensity distribution of OAM1; (b) light intensity distribution of OAM2; (c) light intensity distribution of LO

    Fig. 17. Light intensity distributions of signal light and local oscillator light input terminals. (a) Light intensity distribution of OAM1; (b) light intensity distribution of OAM2; (c) light intensity distribution of LO

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    Light intensity distributions of signal light and local oscillator light output terminals. (a) Light intensity distributions of OAM1 output terminal; (b) light intensity distribution of OAM2 output terminal; (c) light intensity distribution of LO output terminal

    Fig. 18. Light intensity distributions of signal light and local oscillator light output terminals. (a) Light intensity distributions of OAM1 output terminal; (b) light intensity distribution of OAM2 output terminal; (c) light intensity distribution of LO output terminal

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    Amplitude distributions of signal light and local oscillator light output terminals. (a) Amplitude distributions of OAM1 and LO (first column) output terminals; (b) amplitude distributions of OAM2 and LO (second column) output terminals

    Fig. 19. Amplitude distributions of signal light and local oscillator light output terminals. (a) Amplitude distributions of OAM1 and LO (first column) output terminals; (b) amplitude distributions of OAM2 and LO (second column) output terminals

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    Phase distributions of signal light and local oscillator light output terminals. (a) Phase distributions of OAM1 and LO (first column) output terminals; (b) phase distributions of OAM2 and LO (second column) output terminals

    Fig. 20. Phase distributions of signal light and local oscillator light output terminals. (a) Phase distributions of OAM1 and LO (first column) output terminals; (b) phase distributions of OAM2 and LO (second column) output terminals

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    Coupling matrix of normalized ideal field and output field

    Fig. 21. Coupling matrix of normalized ideal field and output field

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    • Table 1. Simulation parameters of input and output spots

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      Table 1. Simulation parameters of input and output spots

      ParameterContent
      SignalLG10, LG20
      Wavelength /nm1550
      Plane count4
      Signal diameter /μm360
      LO diameter /μm500
      Output spot diameter /μm120
      Output spot distance /μm255

    • Table 2. Phase difference between simulation and ideal results of signal light and local oscillator light output terminals

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      Table 2. Phase difference between simulation and ideal results of signal light and local oscillator light output terminals

      Output endΔθ1i /(°)Δθ2i /(°)Δθ3i /(°)Δθ4i /(°)
      Port 14.27481.62153.11973.2488
      Port 24.2591－10.02842.78724.0659
      Port 33.62522.77943.00963.2708
      Port 4－3.43949.25335.1587－1.2643

    • Table 3. A comparison of coupling coefficient, ΔLi, IL, and MDL in the wavelength range of 1500-1600 nm

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      Table 3. A comparison of coupling coefficient, ΔLi, IL, and MDL in the wavelength range of 1500-1600 nm

      ParameterLP[20]LG(this paper)
      Coupling coefficient0.8960-0.9025 (LG10)
      0.9247-0.9033 (LG20)
      0.9077-0.9138 (LO)
      ΔLi /dB

      1.25-1.75 (signal)

      2.3-3 (LO)

      		1.5237-1.6430 (LG10)
      1.0673-1.1512 (LG20)
      2.0597-2.2224 (LO)
      IL /dB－2-－1－0.7137-－0.6664
      MDL /dB－2-－1－3.2643-－3.2098

    • Table 4. A comparison of coupling coefficient, ΔLi，IL, and MDL for a pixel range of 3.2-19.2 μm

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      Table 4. A comparison of coupling coefficient, ΔLi，IL, and MDL for a pixel range of 3.2-19.2 μm

      ParameterLP[20]LG(this paper)
      Coupling coefficient0.8979-0.8834 (LG10)
      0.9113-0.9033 (LG20)
      0.9264-0.9114 (LO)
      ΔLi /dB

      0.75-2 (signal)

      2.3-3 (LO)

      		2.0638-2.4121 (LG10)
      1.2023-1.0820 (LG20)
      2.4121-2.0638 (LO)
      IL /dB－2-－1－0.8097-－0.7020
      MDL /dB－1.75-－1－3.2353-－3.0906

    • Table 5. Simulation parameters of input and output spots

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      Table 5. Simulation parameters of input and output spots

      ParameterContent
      SignalOAM1, OAM2
      Wavelength /nm1550
      Plane count4
      Signal diameter /μm360
      LO diameter /μm500
      Output spot diameter /μm120
      Output spot distance /μm255

    • Table 6. Phase difference between signal light and local oscillator light output terminals

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      Table 6. Phase difference between signal light and local oscillator light output terminals

      OutputΔθ1i /(°)Δθ2i /(°)Δθ3i /(°)Δθ4i /(°)
      Port 15.1525－0.3341－0.80725.8899
      Port 24.18621.56630.74152.6961
      Port 34.84560.5369－1.06686.3869
      Port 40.35108.97461.01062.1095

    • Table 7. A comparison of coupling coefficient, maximum crosstalk, IL and MDL

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      Table 7. A comparison of coupling coefficient, maximum crosstalk, IL and MDL

      ModeLP[20]HG[21]LG [this paper]OAM [this paper]
      Coupling coefficient0.874 (LP01)≥0.760.8983 (LG10)0.8854 (OAM1)
      0.889 (LP11o)0.9269 (LG20)0.8908 (OAM2)
      0.869 (LP11e)
      0.916 (LO)0.9098 (LO)0.8983 (LO)
      Maximum crosstalk0.050.19080.0127
      IL/dB－1.08－2.3－0.7020.9995
      MDL/dB－1.25－1.7－3.23520.1504
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    Daifang Guo, Peng Zhang, Xiyu Gong, Yunlong Fan, Shoufeng Tong. Design and Simulation Analysis of Laguerre Gaussian Mode Demultiplexing Hybrid Based on Multi-Plane Light Conversion[J]. Chinese Journal of Lasers, 2022, 49(9): 0906002

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    Paper Information

    Category: fiber optics and optical communications

    Received: Aug. 31, 2021

    Accepted: Oct. 18, 2021

    Published Online: Apr. 22, 2022

    The Author Email: Peng Zhang (zhangpeng@cust.edu.cn)

    DOI:10.3788/CJL202149.0906002

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology