Acta Photonica Sinica, Volume. 54, Issue 2, 0201001(2025)

Spot Profile Study of Sodium Beacon Based on Angular Spectrum Propagation

Jian HUANG1,*... Keran DENG2 and Zhuqiang LI1 |Show fewer author(s)
Author Affiliations
  • 1Chongqing Key Laboratory of Green Design and Manufacturing of Intelligent Equipment, School of Mechanical Engineering, Chongqing Technology and Business University, Chongqing 400067, China
  • 2College of Physics and Electronic Engineering, Chongqing Normal University, Chongqing 401331, China
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    Figures & Tables(19)
    Photon return efficiency of TIPC laser varies with power intensity
    Schematic of the laser propagation in the turbulence with angular spectrum propagation
    The phase distortion of the four turbulence slabs
    The power density distribution at the second, third and forth slab
    The spot profile of the sodium beacon
    The scatter diagrams for the size of beacon of 250 frames with different values of r0
    The box-plot of the sodium beacon spot size in x and y direction with different values of r0
    The photon return with different values of r0
    The box-plot of photon return with different values of r0
    The spot profile of sodium beacon from the second slab to the sodium layer
    The box-plot of the spot size in x and y direction for sodium beacon under different values of r0, the atmosphere was discreated into 6 layers
    The box-plot of photon return with different values of r0, while the atmosphere was discreated into 6 layers
    The footprint of the uplink laser centroid in each layer
    The centroid of the sodium beacon spot distribution with 4 and 6 layers atmospheric model, the r0 is 5 cm
    The box-plot comparison for the simulation and theory results of sodium beacon shift
    Scintillation index varies with different values of r0
    • Table 1. Main parameters of TIPC 20 W microseconds-pulse laser for sodium beacon

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      Table 1. Main parameters of TIPC 20 W microseconds-pulse laser for sodium beacon

      ParametersValue
      Laser power P20 W
      Laser wavelength λ589.159 nm
      Repumping power fraction q0.1
      PolarizationCircular polarization
      Repumping frequency offset Δf1.717 8 GHz
      Pulse rate500 Hz
      Pulse length100 μs
      Geomagnetic field intensity B0.46 G
      Zenith angle of geomagnetic field131°
      Temperature185 K
    • Table 2. Main parameters for the simulation of sodium laser uplink path

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      Table 2. Main parameters for the simulation of sodium laser uplink path

      ParametersValueDescription
      Atmospherer0/cm5~30Fried parameter(@550 nm)
      Fsampling/Hz500Sampling frequency
      Hi/km0, 4, 8, 12Altitudes for turbulence profile
      Si0.6, 0.1, 0.2, 0.1Relative weights for turbulence profile
      Wind speed/(m·s-15.6, 6.5, 19.6, 15.5Wind speed for turbulence profile
      Wind direction0, π, π/2, -π/3Wind direction for turbulence profile
      Tatm/mag0.75Throughput
      Laser launch telescopeD/m0.3Diameter
      θfov/(’)0.8Field of view
      θT/(°)90Zenith angle
      d/mm240@1/e2Diameter of the laser on the primary mirror
      Sodium beaconHLGS/km90Center of sodium layer
      NNa/(atoms·m-23×1013Column density of the sodium atoms
      N256Pixel of imaging plane
      Resolution/m0.003 9Size of each pixel
    • Table 3. Atmospheric turbulence profile used for simulation

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      Table 3. Atmospheric turbulence profile used for simulation

      LayerAltitude/kmRelative layer weightWind speed/(m·s-1Wind direction
      10.000.6525.619π/18
      22.580.1727.535π/18
      35.160.05513.317π/180
      47.730.02519.629π/180
      512.890.07415.513π/180
      615.460.02212.1466π/180
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    Jian HUANG, Keran DENG, Zhuqiang LI. Spot Profile Study of Sodium Beacon Based on Angular Spectrum Propagation[J]. Acta Photonica Sinica, 2025, 54(2): 0201001

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    Paper Information

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    Received: Oct. 11, 2024

    Accepted: Jan. 8, 2025

    Published Online: Mar. 25, 2025

    The Author Email: Jian HUANG (huangjian_honor@163.com)

    DOI:10.3788/gzxb20255402.0201001

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