Application of Natural Object False Target in Laser Angle Deception Jamming

Jianlu Huang; Tao Shen

doi:10.3788/LOP202259.0126001

Journals >Laser & Optoelectronics Progress >Volume 59 >Issue 1 >Page 0126001 > Article

Laser & Optoelectronics Progress
Vol. 59, Issue 1, 0126001 (2022)

Application of Natural Object False Target in Laser Angle Deception Jamming

Jianlu Huang^* and Tao Shen

Author Affiliations

School of Nuclear Engineering, Rocket Force University of Engineering, Xi'an , Shanxi 710025, China

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DOI: 10.3788/LOP202259.0126001 Cite this Article Set citation alerts

Jianlu Huang, Tao Shen. Application of Natural Object False Target in Laser Angle Deception Jamming[J]. Laser & Optoelectronics Progress, 2022, 59(1): 0126001 Copy Citation Text

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Fig. 1. Relative position of natural features, seeker and laser and relation of angle. (a) 3D coordinate; (b) side view

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Fig. 2. (a) 3D diagram and (b) top view of interference energy distribution of sand and gravel false targets

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Fig. 3. (a) 3D diagram and (b) top view of interference energy distribution of construction false targets

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Fig. 4. Relationship between threat Angle different and ground feature inclination

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Fig. 5. Fitting curves of the four fitting models

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Types of objects	$k_{b}$	$k_{r}$	$k_{d}$	$a$	$b$
Sand and gravel	0.1565	0.2930	0.1054	1.453	-37.52
Construction	0.08822	0.3250	0.04862	1.760	-16.92

Table 1. Parameters of BRDF model

$θ_{d} / (°)$	1	3	5	7	9	10	12	14	16	18	20	23	26	29	31	33	36	39
$Δ θ / (°)$	0	0	0	1	1	2	3	4	7	8	10	13	15	16	16	15	15	14
$θ_{d} / (°)$	41	43	45	47	50	52	55	58	61	64	65	68	71	75	80	85	90
$Δ θ / (°)$	13	12	12	11	9	8	5	4	2	1	0	0	0	0	0	0	0

Table 2. Threat angle difference at different ground feature inclination angles

Parameters	Sine function	Fourier function	Rational function	Gaussian function
Number of undetermined coefficients	12	10	9	6
Undetermined coefficient values	$\begin{array}{l} a_{1} = 11.28 & b_{1} = 0.03685 \\ c_{1} = 0.3028 & a_{2} = 4.677 \\ b_{2} = 0.1128 & c_{2} = - 2.295 \\ a_{3} = 0.8563 & b_{3} = 0.1781 \\ c_{3} = 3.67 & a_{4} = 0.5958 \\ b_{4} = 0.2648 & c_{4} = 1.036 \end{array}$	$\begin{array}{l} a_{0} = 0.659 & a_{1} = - 6.51 \\ b_{1} = 4.977 & a_{2} = - 0.04002 \\ b_{2} = - 1.831 & a_{3} = 0.3667 \\ b_{3} = - 0.7993 & a_{4} = 0.07362 \\ b_{4} = 0.2792 & w = 0.07213 \end{array}$	$\begin{matrix} \begin{array}{l} p_{1} = 0.5511 & p_{2} = - 40.5 \\ p_{3} = - 3620 & p_{4} = 2.741 e + 05 \\ p_{5} = - 882600 & q_{1} = - 154.5 \\ q_{2} = 8811 & q_{3} = - 218800 \\ q_{4} = 2213000 \end{array} \end{matrix}$	$\begin{array}{l} a_{1} = 14.49 & b_{1} = 27.5 \\ c_{1} = 12.3 & a_{2} = 9.945 \\ b_{2} = 45.32 & c_{2} = 12.24 \end{array}$
SSE	3.112	3.074	3.416	3.854
R-square	0.9974	0.9975	0.9972	0.9965
RMSE	0.3678	0.3507	0.3625	0.385

Table 3. Analysis of fitting results of four fitting models

Jianlu Huang, Tao Shen. Application of Natural Object False Target in Laser Angle Deception Jamming[J]. Laser & Optoelectronics Progress, 2022, 59(1): 0126001

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