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

Journals >Acta Optica Sinica >Volume 38 >Issue 10 >Page 1001003 > Article

Acta Optica Sinica
Vol. 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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DOI: 10.3788/AOS201838.1001003 Cite this Article Set citation alerts

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 Copy Citation Text

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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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Wave band /nm	Height of water columns /m
Wave band /nm	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 1. Mean values of the diffusion attenuation coefficients of the 3, 5, and 8 m water columns

Times	Wave band /nm
Times	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 2. Mean values of the diffusion attenuation coefficients under 3-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 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	3.04	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 4. Mean values of the diffusion attenuation coefficients under 8-m water columns measured based on the OCD model

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 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	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 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	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 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

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 8. Measurement results of the OCD_LAYER 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

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

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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