Mathematical modeling and evaluation of signal-to-noise ratio for single-photon laser active detection

HU Yunhang; WANG Lingjie; LIU Yang; WANG Lianqiang; ZHOU Di

doi:10.5768/JAO202546.0107001

Journal of Applied Optics > 2025 > 46(1): 194-201. > DOI: 10.5768/JAO202546.0107001

HU Yunhang, WANG Lingjie, LIU Yang, et al. Mathematical modeling and evaluation of signal-to-noise ratio for single-photon laser active detection[J]. Journal of Applied Optics, 2025, 46（1）: 194-201. DOI: 10.5768/JAO202546.0107001

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Mathematical modeling and evaluation of signal-to-noise ratio for single-photon laser active detection

HU Yunhang^{1, 2, 3, 4,},
WANG Lingjie^{1, 3, 4},
LIU Yang^{1, 2, 3, 4, ,},
WANG Lianqiang^{1, 3, 4},
ZHOU Di^{1, 3, 4}

1.
Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China
2.
University of Chinese Academy of Sciences, Beijing 100049, China
3.
State Key Laboratory of Applied Optics, Changchun 130033, China
4.
Key Laboratory of Advanced Manufacturing for Optical Systems, Chinese Academy of Sciences, Changchun 130033, China

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Received Date: December 26, 2023
Revised Date: May 28, 2024
Available Online: January 13, 2025

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Abstract

Abstract

Long-range detection using single-photon lidar can increase the farthest detection distance, and due to the complexity of its transmission link, a mathematical model of signal-to-noise ratio for single-photon laser active detection was established. Firstly, the echo signal model of the pulsed laser in the full link of active detection considering diffraction was established, and the size of the number of signal photons received by the single-photon detector was calculated. Then, the composition of noisy photoelectrons in the active detection process was analyzed, and the number of noisy photoelectrons was quantitatively calculated. Based on the above model, the echo signal-to-noise ratio model under the consideration of the aiming deviation of the optic axis was established. A set of system parameters of a single-photon laser detection system used for theoretical model validation was simulated and analyzed, and the relationship between the laser pulse energy and the size of the echo signal-to-noise ratio was analyzed under the influence of different target detection distances and different aperture sizes of the receiving system. The results were compared with those calculated by the echo signal-to-noise ratio model based on the lidar equation, which proved the simplicity and feasibility of the mathematical model.
- single-photon lidar,
- active detection,
- signal-to-noise ratio,
- detection range,
- mathematical model

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References (26)

References

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Mathematical modeling and evaluation of signal-to-noise ratio for single-photon laser active detection