Establishment and Verification of the Optical Concealment Depth Model for Layered Water

Hairong Zhu; Hai Zhu; Peng Cai; Weiyu Li; Wang Wang

doi:10.3788/AOS201838.1001003

Acta Optica Sinica, Volume. 38, Issue 10, 1001003(2018)

Establishment and Verification of the Optical Concealment Depth Model for Layered Water

Hairong Zhu^*, Hai Zhu^**, Peng Cai, Weiyu Li, and Wang Wang

Author Affiliations

Navy Submarine Academy, Qingdao, Shandong 266000, China

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Figures & Tables(13)

Fig. 1. Relationship between the optical concealment depth and the observation of the zenith angle

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Fig. 2. Relationship between the optical concealment depth and the attenuation coefficient of seawater

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Fig. 3. Relationship between the optical concealment depth and the submersible reflectivity

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Fig. 4. Calculation results of the OCD_LAYER model

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Table 1. Mean values of the diffusion attenuation coefficients of the 3, 5, and 8 m water columns
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Table 1. Mean values of the diffusion attenuation coefficients of the 3, 5, and 8 m water columns
Wave band /nm Height of water columns /m
3 5 8
490 0.038 0.033 0.061
520 0.015 0.019 0.055
532 0.027 0.025 0.058
555 0.025 0.024 0.057
560 0.039 0.036 0.074
662 0.013 0.013 0.030

Table 2. Mean values of the diffusion attenuation coefficients under 3-m water columns measured based on the OCD model
View table
Table 2. Mean values of the diffusion attenuation coefficients under 3-m water columns measured based on the OCD model
Times Wave band /nm
490 520 532 555 560 662
1 3.41 3.90 3.64 3.68 3.67 3.43
2 3.42 3.90 3.64 3.69 3.68 3.43
3 3.43 3.91 3.64 3.69 3.68 3.43
4 3.44 3.91 3.64 3.69 3.68 3.43
5 3.45 3.92 3.64 3.69 3.69 3.43
6 3.45 3.92 3.64 3.69 3.69 3.43

Table 3. Mean values of the diffusion attenuation coefficients under 5-m water columns measured based on the OCD model

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Table 3. Mean values of the diffusion attenuation coefficients under 5-m water columns measured based on the OCD model

Times	Wave band /nm
Times	490	520	532	555	560	662
1	3.50	3.81	3.68	3.71	3.69	3.49
2	3.51	3.81	3.68	3.71	3.70	3.49
3	3.53	3.81	3.68	3.71	3.70	3.49
4	3.54	3.82	3.68	3.71	3.70	3.49
5	3.54	3.82	3.68	3.71	3.71	3.49
6	3.54	3.83	3.69	3.71	3.71	3.49
7	3.54	3.84	3.69	3.72	3.72	3.49
8	3.54	3.84	3.70	3.72	3.72	3.49
9	3.54	3.85	3.70	3.72	3.71	3.49
10	3.54	3.85	3.70	3.73	3.72	3.49

Table 4. Mean values of the diffusion attenuation coefficients under 8-m water columns measured based on the OCD model

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Table 4. Mean values of the diffusion attenuation coefficients under 8-m water columns measured based on the OCD model

Times	Wave band /nm
Times	490	520	532	555	560	662
1	3.04	3.14	3.09	3.11	3.11	2.89
2	3.05	3.14	3.09	3.12	3.11	2.89
3	3.06	3.14	3.09	3.12	3.11	2.89
4	3.07	3.15	3.09	3.12	3.11	2.89
5	3.07	3.15	3.10	3.12	3.12	2.89
6	3.07	3.16	3.10	3.12	3.12	2.89
7	3.07	3.16	3.11	3.12	3.12	2.90
8	3.07	3.17	3.11	3.13	3.12	2.90
9	3.07	3.17	3.11	3.13	3.12	2.90
10	3.07	3.17	3.12	3.13	3.12	2.90
11	3.07	3.18	3.12	3.14	3.13	2.90
12	3.07	3.18	3.13	3.14	3.14	2.90
13	3.07	3.19	3.14	3.15	3.15	2.91
14	3.08	3.19	3.14	3.16	3.16	2.91
15	3.08	3.20	3.15	3.16	3.16	2.91
16	3.08	3.20	3.15	3.16	3.17	2.92

Table 5. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 3-m water columns
View table
Table 5. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 3-m water columns
Wave band /nm RMSE /m AE /m RE /% Bias /m
490 0.99 0.99 40.70 0.99
520 1.47 1.47 60.26 1.47
532 1.20 1.20 49.94 1.20
555 1.25 1.25 51.10 1.25
560 1.24 1.24 50.91 1.24
662 0.99 0.99 40.58 0.99
Average value 1.19 1.19 48.77 1.19

Table 6. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 5-m water columns
View table
Table 6. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 5-m water columns
Wave band /nm RMSE /m AE/m RE /% Bias /m
490 1.09 1.09 44.75 1.09
520 1.39 1.39 56.89 1.39
532 1.25 1.25 51.11 1.25
555 1.27 1.27 52.18 1.27
560 1.27 1.27 51.96 1.27
662 1.05 1.05 42.90 1.05
Average value 1.22 1.22 49.97 1.22

Table 7. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 8-m water columns
View table
Table 7. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 8-m water columns
Wave band /nm RMSE /m AE /m RE /% Bias /m
490 0.63 0.63 25.74 0.63
520 0.73 0.73 29.84 0.73
532 0.68 0.68 27.66 0.68
555 0.69 0.69 28.41 0.69
560 0.69 0.69 68.94 0.69
662 0.46 0.46 45.94 0.46
Average value 0.65 0.65 37.76 0.65

Table 8. Measurement results of the OCD_LAYER model

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Table 8. Measurement results of the OCD_LAYER model

Times	Wave band /nm
Times	490	520	532	555	560	662
1	4.07	4.24	3.26	3.11	2.83	3.59
2	3.65	4.05	3.52	3.41	3.17	3.79
3	3.44	3.92	3.53	3.51	3.22	3.84
4	3.08	3.71	3.57	3.89	3.47	4.04
5	2.96	3.61	3.59	4.13	3.63	4.16
6	3.15	3.70	3.95	4.19	4.16	4.31
7	3.57	3.86	4.09	3.87	3.72	4.16
8	3.89	3.99	3.95	3.86	3.58	4.14
9	4.00	3.91	4.17	4.18	3.90	4.27
10	3.81	3.63	3.95	3.96	4.04	3.95
11	3.31	3.19	3.20	3.30	3.10	3.55
12	2.82	2.76	2.59	2.70	2.41	3.15
13	2.52	2.48	2.35	2.42	2.15	2.95
14	2.37	2.34	2.31	2.31	2.09	2.90
15	2.31	2.30	2.35	2.30	2.13	2.95
16	2.40	2.37	2.44	2.40	2.22	3.11
17	2.60	2.54	2.59	2.60	2.38	3.34
18	2.80	2.72	2.76	2.79	2.55	3.56
19	3.05	2.95	2.98	3.00	2.75	3.79
20	3.25	3.14	3.16	3.17	2.92	3.94
21	3.32	3.22	3.23	3.22	2.98	3.95
22	3.36	3.26	3.27	3.25	3.02	3.95
23	3.47	3.37	3.36	3.35	3.11	4.02
24	3.60	3.48	3.46	3.47	3.24	4.13

Table 9. Statistical results of the OCD_LAYER model and the submersible model
View table
Table 9. Statistical results of the OCD_LAYER model and the submersible model
Wave band /nm RMSE /m AE /m RE /% Bias /m
490 0.95 0.80 32.83 0.80
520 1.07 0.89 36.35 0.89
532 0.99 0.82 33.75 0.82
555 1.03 0.85 34.86 0.85
560 0.85 0.62 25.26 0.62
662 1.39 1.32 54.04 1.32
Average value 1.05 0.89 36.18 0.89

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Hairong Zhu, Hai Zhu, Peng Cai, Weiyu Li, Wang Wang. Establishment and Verification of the Optical Concealment Depth Model for Layered Water[J]. Acta Optica Sinica, 2018, 38(10): 1001003

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Paper Information

Category: Atmospheric Optics and Oceanic Optics

Received: Mar. 22, 2018

Accepted: May. 8, 2018

Published Online: May. 9, 2019

The Author Email:

DOI:10.3788/AOS201838.1001003

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Mean values of the diffusion attenuation coefficients of the 3, 5, and 8 m water columns

Table 1. Mean values of the diffusion attenuation coefficients of the 3, 5, and 8 m water columns

Table 2. Mean values of the diffusion attenuation coefficients under 3-m water columns measured based on the OCD model

Table 2. Mean values of the diffusion attenuation coefficients under 3-m water columns measured based on the OCD model

Table 3. Mean values of the diffusion attenuation coefficients under 5-m water columns measured based on the OCD model

Table 3. Mean values of the diffusion attenuation coefficients under 5-m water columns measured based on the OCD model

Table 4. Mean values of the diffusion attenuation coefficients under 8-m water columns measured based on the OCD model

Table 4. Mean values of the diffusion attenuation coefficients under 8-m water columns measured based on the OCD model

Table 5. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 3-m water columns

Table 5. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 3-m water columns

Table 6. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 5-m water columns

Table 6. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 5-m water columns

Table 7. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 8-m water columns

Table 7. Statistical results of mean values of the diffusion attenuation coefficients based on the OCD model and the submersible model under 8-m water columns

Table 8. Measurement results of the OCD_LAYER model

Table 8. Measurement results of the OCD_LAYER model

Table 9. Statistical results of the OCD_LAYER model and the submersible model

Table 9. Statistical results of the OCD_LAYER model and the submersible model