Characteristic Analysis of Underwater Laser Propagation Based on Sahu-Shanmugam and Fournier-Forand Volume Scattering Functions

Tiansong Li; Xiang Gao; Xiaoyan Zhou; Rongkai Yang

doi:10.3788/LOP57.030103

Laser & Optoelectronics Progress, Volume. 57, Issue 3, 030103(2020)

Characteristic Analysis of Underwater Laser Propagation Based on Sahu-Shanmugam and Fournier-Forand Volume Scattering Functions

Tiansong Li^1,2、**, Xiang Gao^1,2、*, Xiaoyan Zhou¹, and Rongkai Yang²

Author Affiliations

¹Institute of Information and Communication, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China

²Guangxi Key Laboratory of Precision Navigation Technology and Application, Guilin, Guangxi, 541004, China

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Figures & Tables(13)

Fig. 1. Different scattering functions. (a) Scattering functions; (b) correlation coefficients of scattering functions

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Fig. 2. Scattering distribution function

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Fig. 3. Simulation program diagram of underwater photon transmission

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Fig. 4. Time domain impulse responses in three typical waters. (a) Time domain impulse response in harbor water; (b) time domain impulse response in coastal water; (c) time domain impulse response in clear seawater

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Fig. 5. Beam distribution on the receiving surface of clear seawater. (a) z=9 m; (b) z=12 m; (c) z=15 m

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Fig. 6. Beam distribution of receiving surface in coastal water. (a) z=9 m; (b) z=12 m; (c) z=15 m

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Fig. 7. Receiving surface beam distribution in harbor water. (a) z=9 m; (b) z=12 m; (c) z=15 m

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Fig. 8. Beam power density distribution. (a) Clear seawater; (b) Coastal water; (c) Harbor water

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Fig. 9. Optical power density of beams with different transmission distances in three typical waters. (a) Clear seawater; (b) coastal water; (c) harbor water

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Table 1. Computing the scattering function in range of 0.1°≤θ<5°

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Table 1. Computing the scattering function in range of 0.1°≤θ<5°

κ	d_κ	e_κ	f_κ	g_κ	h_κ	i_κ	j_κ	k_κ	l_κ	o_κ	p_κ	q_κ
1	7×10^-5	-0.042	-0.681	0.0800	4×10^-5	-0.06	-0.78	-0.03	-1.2×10^-4	0.01	0.28	0.04
2	1.9×10^-5	-0.144	-0.971	0.0007	1×10^-5	0.01	0.29	0.22	-2.1×10^-4	0.01	-0.05	-0.62
3	-6×10^-5	0.115	3.200	-0.9450	-2×10^-5	-0.03	-0.47	-0.66	2.6×10^-4	-0.17	-4.06	3.19

Table 2. Computing the scattering function in range of 5°<θ≤90°

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Table 2. Computing the scattering function in range of 5°<θ≤90°

κ	d_κ	e_κ	f_κ	g_κ	h_κ	i_κ	j_κ	k_κ	l_κ	o_κ	p_κ	q_κ
1	-0.00223	-0.593	-7.82	1.883	-0.00028	-0.098	-1.076	0.237	0.00084	0.2973	3.147	-0.749
2	0.02009	5.155	70.69	-16.657	0.00272	0.901	10.017	-2.203	-0.00759	-2.7348	-29.650	6.724
3	-0.06150	-14.590	-202.43	47.885	-0.00762	-2.739	-31.139	6.551	0.02182	8.1828	93.450	-21.460
4	0.05488	12.940	185.04	-44.513	0.00778	2.658	30.378	-7.101	-0.02058	-7.7529	-96.290	23.710

Table 3. Channel simulation parameters
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Table 3. Channel simulation parameters
Water type Scattering parameter Attenuation parameter
Clear seawater 0.037 0.151
Coastal water 0.219 0.398
Harbor water 1.824 2.190

Table 4. Beam distribution probability with a receiving surface diameter of 6 m%
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Table 4. Beam distribution probability with a receiving surface diameter of 6 m%
Water type Probability
9 m 12 m 15 m
Clear seawater 99.94 99.77 99.35
Coastal water 99.56 97.91 93.55
Harbor water 44.90 24.95 16.65

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Tiansong Li, Xiang Gao, Xiaoyan Zhou, Rongkai Yang. Characteristic Analysis of Underwater Laser Propagation Based on Sahu-Shanmugam and Fournier-Forand Volume Scattering Functions[J]. Laser & Optoelectronics Progress, 2020, 57(3): 030103

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