Analysis of the Influence of Shock Waves on the Detection Performance of Laser Fuze under High-speed Flight Conditions

doi:10.12382/bgxb.2024.1131

Abstract

Abstract:

The impact of shock waves in front of projectile under high-speed flight conditions is studied to improve the ranging accuracy of projectile-borne pulse laser fuze. Based on the traditional pulse laser echo model,a semi-analytical method is proposed to model the pulse laser echo signals disturbed by shock waves,and the concept of the optimal confidence interval is introduced to construct a ranging data distribution and error evaluation model. A Reynolds average navier-stokes (RANS) solver is used for aerodynamic flow field calculation to obtain the density field distribution around the projectile by taking a typical high-explosive anti-tank cartridge as the research object. The optical path difference (OPD) and Strehl ratio (SR) are used as the evaluation criteria for the aerodynamic optical effects,and a high-precision fourth-order Runge-Kutta method is employed to trace the laser beam passing through the non-uniform flow field in front of the projectile. The effects of different flight Mach numbers,target angles,and detection distances on the pulse laser echo waveforms and detection accuracy are analyzed through simulation. The simulated results show that the ranging performance of pulse laser fuzes below 3 Mach is slightly affected,and the systematic error and random error reach the minimum and maximum,respectively,at 4 Mach. This study provides theoretical foundations for suppressing the aerodynamic optical effects of pulse laser fuzes under high-speed flight conditions.

Key words: pulse laser fuze, high-speed flight, ray tracing, shock wave, ranging accuracy

CLC Number:

TJ43+4.2

ZHA Jipeng, ZHANG Xiangjin, HUA Tuan, SHENG Na, KANG Yang. Analysis of the Influence of Shock Waves on the Detection Performance of Laser Fuze under High-speed Flight Conditions[J]. Acta Armamentarii, 2025, 46(6): 241131-.

Figures/Tables 15

Fig.1 Detection process of projectile-borne laser fuzes during high-speed flights (the yellow beam is the laser beam passing through the non-uniform flow field,and the red beam is the virtual unaffected laser beam)

Fig.2 Schematic diagram of the proposed laser echo modeling method

Fig.3 Computational models and computational grids

Table 1 Boundary condition of aerodynamic flow field

参数	数值
高度/km	0.1
马赫数/Ma	1.5~4.0
压力远场/Pa	101325
温度/K	300
攻角/(°)	0

Fig.4 Schematic diagram of ray tracing algorithm(the mesh indicates the calculation range)

Fig 5 Density distribution of flow field of high-explosive anti-tank cartridge under different Mach numbers

Fig.6 OPD distribution of the emitted beam along the optical window under different Mach numbers

Fig.7 SR distribution of received beam along the optical window under different Mach numbers

Fig.8 Echo waveforms under different Mach numbers

Fig.9 Echo waveforms and pulse widths at different target inclination angles

Fig.10 Echo waveforms at different detection distances

Fig.11 Ranging PDF distributions under different Mach numbers

Fig.12 Ranging PDF distribution at different target inclination angles

Fig.13 Variation of ranging error with target inclination angle under different Mach numbers

Fig.14 Variation of ranging error with detection distance under different Mach numbers

References 26

[1]	张合. 引信的过去、现在与未来[J]. 探测与控制学报, 2023, 45(5):1-6.
	ZHANG H. The past,present and future of fuze[J]. Journal of Detection & Control, 2023, 45(5):1-6. (in Chinese)
[2]	查冰婷, 徐光博, 秦建新, 等. 多发多收周视激光引信时刻鉴别方法[J]. 兵工学报, 2024, 45(11):4145-4154.
	ZHA B T, XU G B, QIN J X, et al. Time discrimination method of multi-transmitter and multi-receiver circumferential laser fuze[J]. Acta Armamentarii, 2024, 45(11):4145-4154. (in Chinese)
[3]	XU C Y S, ZHA B T, BAO J Q, et al. Analysis of temporal and spatial distribution characteristics of ammonium chloride smoke particles in confined spaces[J]. Defence Technology, 2022, 18(7):1269-1280.
[4]	XU G B, ZHA B T, YUAN H L, et al. Underwater four-quadrant dual-beam circumferential scanning laser fuze using nonlinear adaptive backscatter filter based on pauseable SAF-LMS algorithm[J]. Defence Technology, 2024, 37:1-13.
[5]	甘霖, 张合. 基于光路复用机理的激光近程动态测距概率分布[J]. 中国激光, 2018, 45(11):1104006.
	GAN L, ZHANG H. Probability distribution of laser short-range dynamic ranging based on optical multiplexing mechanism[J]. Chinese Journal of Lasers, 2018, 45(11):1104006. (in Chinese)
[6]	查继鹏, 张祥金, 张合, 等. 高速弹道导弹激光引信外流场分布影响特性[J]. 探测与控制学报, 2023, 45(3):17-22.
	ZHA J P, ZHANG X J, ZHANG H, et al. High-speed ballistic missile laser fuze outside flow field distribution influence characteristics[J]. Journal of Detection & Control, 2023, 45(3):17-22. (in Chinese)
[7]	邢占, 陈晓依, 彭志勇, 等. 红外气动光学效应研究进展与思考(特邀)[J]. 红外与激光工程, 2022, 51(4):20220228.
	XING Z, CHEN X Y, PENG Z Y, et al. Research progress and thinking of infrared aero-optical effect (Invited)[J]. Infrared and Laser Engineering, 2022, 51(4):20220228. (in Chinese)
[8]	ZHANG B, HE L, YI S H, et al. Multi-resolution analysis of aero-optical effects in a supersonic turbulent boundary layer[J]. Applied Optics, 2021, 60(8):2242-2251.
[9]	SUN X W, YANG X L, LIU W. Validation method of aero-optical effect simulation for supersonic turbulent boundary layer[J]. AIAA Journal, 2021, 59(1):410-416.
[10]	LIU L, MENG W H, LI Y, et al. Influence of aero-optical transmission on infrared imaging optical system in the supersonic flight[J]. Infrared Physics & Technology, 2015, 68:110-118.
[11]	LIU Y, YUAN Y T, GUO X, et al. Numerical investigation of the error caused by the aero-optical environment around an in-flight wing in optically measuring the wing deformation[J]. Aerospace Science and Technology, 2020, 98:105663.
[12]	HAO Q, CHENG Y, CAO J, et al. Analytical and numerical approaches to study echo laser pulse profile affected by target and atmospheric turbulence[J]. Optics Express, 2016, 24(22):5026-25042.
[13]	吴凡. 气动光学效应对激光雷达测距精度的影响及修正[D]. 哈尔滨: 哈尔滨工业大学, 2014.
	WU F. Influence of aero-optics effects on lidar ranging accuracy and correcting method[D]. Harbing: Harbin Institute of Technology, 2014. (in Chinese)
[14]	GAO P, LI T J, YUAN Y, et al. Numerical approaches and analysis of optical measurements of laser radar cross-sections affected by aero-optical transmission[J]. Infrared Physics & Technology, 2022, 121:104011.
[15]	YAO Z C, ZHANG H, ZHANG X J, et al. Analysis on the influence mechanism of conical shock wave on pulsed laser forward detection[J]. Optik, 2019, 183:783-791.
[16]	徐孝彬. 脉冲激光引信近程周向探测技术研究[D]. 南京: 南京理工大学, 2017.
	XU X B. Research on short-range circular-viewing detection technology of pulsed laser fuze[D]. Nanjing: Nanjing University of Science and Technology, 2017. (in Chinese)
[17]	姜海娇. 高重频脉冲激光雷达测距统计特性及其像质评价[D]. 南京: 南京理工大学, 2013.
	JIANG H J. Statistical properties of high repetition rate pulse laser radar range and its image quality evaluation[D]. Nanjing: Nanjing University of Science and Technology, 2013. (in Chinese)
[18]	JOHNSON S E, NICHOLS T L, GATT P, et al. Range precision of direct-detection laser radar systems[C]// Proccdings of the Laser Radar Technology and Applications IX. Orlando,FL,US:SPIE, 2004, 5412:72-86.
[19]	徐孝彬, 张合, 张祥金, 等. 脉冲激光探测平面目标特性对测距分布的影响[J]. 物理学报, 2016, 65(21):210601.
	XU X B, ZHANG H, ZHANG X J, et al. Effect of plane target characteristics on ranging distribution for pulse laser detection[J]. Acta Physica Sinica, 2016, 65(21):210601. (in Chinese)
[20]	XU X B, ZHANG H, LUO M Z, et al. Research on target echo characteristics and ranging accuracy for laser radar[J]. Infrared Physics & Technology, 2019, 96:330-339.
[21]	李军红, 李付庆, 范建民. 统计学[M]. 南京: 南京大学出版社, 2020.
	LI J H, LI F Q, FAN J M. Statistics[M]. Nanjing: Nanjing University Press, 2020. (in Chinese)
[22]	DING H L, YI S H, ZHAO X H. Experimental investigation of aero-optics induced by supersonic film based on near-field background-oriented schlieren[J]. Applied Optics, 2019, 58(11):2948-2962.
[23]	YANG B, HU J, LIU X X. A study on simulation method of starlight transmission in hypersonic conditions[J]. Aerospace Science and Technology, 2013, 29(1):155-164.
[24]	WEI L Y, QI H, NIU Z T, et al. Reverse Monte Carlo coupled with Runge-Kutta ray tracing method for radiative heat transfer in graded-index media[J]. Infrared Physics & Technology, 2019, 99:5-13.
[25]	XU L, CAI Y L. Influence of altitude on aero-optic imaging deviation[J]. Applied Optics, 2011, 50(18):2949-2957.
[26]	WANG T, ZHAO Y, XU D, et al. Numerical study of evaluating the optical quality of supersonic flow fields[J]. Applied Optics, 2007, 46(23):5545-5551.