• Infrared and Laser Engineering
  • Vol. 52, Issue 2, 20220408 (2023)
Ji Li1, Haisa Jia1, and Zhou Li2
Author Affiliations
  • 1Unit 44, No. 92941 Troops, Huludao 125001, China
  • 2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
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    DOI: 10.3788/IRLA20220408 Cite this Article
    Ji Li, Haisa Jia, Zhou Li. Research on energy calculation method of weak and small targets based on Rayleigh distribution[J]. Infrared and Laser Engineering, 2023, 52(2): 20220408 Copy Citation Text show less
    Ideal point target discrete process
    Fig. 1. Ideal point target discrete process
    Gray level histogram of X(Y) axis of point target with different brightness
    Fig. 2. Gray level histogram of X(Y) axis of point target with different brightness
    Probability density curve of typical Rayleigh distribution
    Fig. 3. Probability density curve of typical Rayleigh distribution
    Cumulative probability density of Rayleigh distribution
    Fig. 4. Cumulative probability density of Rayleigh distribution
    Infrared target image and Rayleigh distribution fitting in the experiment
    Fig. 5. Infrared target image and Rayleigh distribution fitting in the experiment
    Image gray distribution at different temperatures
    Fig. 6. Image gray distribution at different temperatures
    Comparison of inversion accuracy of different methods
    Fig. 7. Comparison of inversion accuracy of different methods
    Parameter nameValue
    Aperture/mm400
    Band/μm3.7-4.8
    Pixel number640×512
    Pixel size/μm15
    Bit depth/bit14
    Integration time/μs1500/2500
    Table 1. Parameter setting of infrared radiation measurement system
    t/μs Temperature/℃Blackbody radiation intensity/× 10−2 W·sr−1Radiation intensity with binaryzation/× 10−2 W·sr−1ErrorRadiation intensity with Rayleigh distribution/× 10−2 W·sr−1Error
    1500603.08463.510613.81%3.15722.35%
    704.16154.55979.57%4.1441−0.41%
    805.52095.95007.77%5.58571.17%
    907.21247.58295.14%7.39012.46%
    1009.28989.77165.19%9.31190.23%
    11011.810412.39584.96%11.3885−3.57%
    12014.835115.59745.14%14.8336−0.01%
    13019.110620.54324.42%19.55780.70%
    2500603.08463.415610.73%3.29016.66%
    704.16154.48797.84%4.23191.69%
    805.52095.85646.08%5.53310.22%
    907.21247.59555.31%7.0158−2.72%
    1009.28989.83165.83%9.30110.12%
    11011.810410.5275−10.86%11.98081.44%
    12014.835115.23912.72%14.1766−4.43%
    13018.427619.24154.42%18.55780.70%
    Table 2. Comparison of measurement results of different calculation methods
    Ji Li, Haisa Jia, Zhou Li. Research on energy calculation method of weak and small targets based on Rayleigh distribution[J]. Infrared and Laser Engineering, 2023, 52(2): 20220408
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