Measurement of the Mueller matrix for ocean water

Kenneth J. Voss; Edward S. Fry

doi:10.1364/AO.23.004427

Applied Optics
Vol. 23,
Issue 23,
pp. 4427-4439
(1984)
•https://doi.org/10.1364/AO.23.004427

Measurement of the Mueller matrix for ocean water

Kenneth J. Voss and Edward S. Fry

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Kenneth J. Voss and Edward S. Fry, "Measurement of the Mueller matrix for ocean water," Appl. Opt. 23, 4427-4439 (1984)

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Abstract

The normalized light scattering polarization matrix has been measured for ocean water using an electrooptic light scattering polarimeter. Measurements were done on samples from the Atlantic and Pacific Oceans and the Gulf of Mexico. The polarization effects in the matrices were found to have, in general, a form which is similar to polarization effects in the Rayleigh scattering approximation; for example, all off-diagonal matrix elements except S12 and S21 were zero. Mueller matrix elements were calculated using a Mie computer code and compared to the measured matrices for ocean water. A simple one-component distribution was found to produce a reasonably good fit.

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Angle	S12 Ave	Std	S13 Ave	Std	S14 Ave	Std
10	−0.03	0.01	0.00	0.01	0.00	0.01
15	−0.05	0.02	−0.00	0.01	−0.01	0.01
20	−0.06	0.02	−0.00	0.01	−0.01	0.01
25	−0.09	0.02	−0.01	0.01	−0.01	0.01
30	−0.12	0.02	−0.01	0.01	−0.01	0.01
35	−0.15	0.02	−0.01	0.01	−0.01	0.01
40	−0.19	0.02	−0.01	0.01	−0.01	0.01
45	−0.24	0.02	−0.01	0.01	−0.01	0.01
50	−0.29	0.03	−0.01	0.01	−0.01	0.01
55	−0.36	0.03	−0.01	0.01	−0.01	0.02
60	−0.42	0.05	−0.01	0.01	−0.01	0.01
65	−0.47	0.05	−0.01	0.01	−0.01	0.02
70	−0.53	0.05	−0.01	0.02	−0.01	0.02
75	−0.59	0.06	−0.01	0.02	−0.01	0.02
80	−0.62	0.07	−0.01	0.02	−0.01	0.02
85	−0.65	0.08	−0.01	0.02	−0.01	0.02
90	−0.66	0.09	−0.01	0.02	−0.01	0.02
95	−0.66	0.09	−0.01	0.02	−0.01	0.02
100	−0.63	0.09	−0.01	0.02	−0.01	0.02
105	−0.59	0.08	−0.01	0.03	−0.01	0.02
110	−0.54	0.08	−0.01	0.03	−0.01	0.02
115	−0.49	0.06	−0.02	0.03	−0.01	0.02
120	−0.43	0.05	−0.01	0.02	−0.01	0.02
125	−0.37	0.05	−0.01	0.02	−0.02	0.02
130	−0.30	0.04	−0.01	0.02	−0.01	0.02
135	−0.25	0.03	−0.01	0.02	−0.01	0.02
140	−0.21	0.02	−0.01	0.02	−0.01	0.01
145	−0.16	0.03	−0.01	0.02	−0.01	0.01
150	−0.14	0.02	−0.01	0.01	−0.01	0.02
155	−0.12	0.02	−0.01	0.01	−0.01	0.01
160	−0.12	0.03	−0.01	0.01	−0.01	0.01

Angle	S21 Ave	Std	S22 Ave	Std	S23 Ave	Std	S24 Ave	Std
10	0.00	0.03	0.98	0.06	0.02	0.03	−0.04	0.03
15	−0.02	0.03	0.97	0.06	0.02	0.03	−0.04	0.03
20	−0.05	0.03	0.96	0.05	0.02	0.03	−0.04	0.03
25	−0.08	0.03	0.95	0.04	0.01	0.03	−0.04	0.03
30	−0.11	0.03	0.94	0.04	0.02	0.04	−0.04	0.02
35	−0.16	0.03	0.93	0.05	0.02	0.04	−0.04	0.03
40	−0.21	0.03	0.92	0.05	0.01	0.04	−0.04	0.03
45	−0.26	0.03	0.91	0.06	0.02	0.05	−0.03	0.03
50	−0.32	0.04	0.89	0.05	0.02	0.05	−0.03	0.03
55	−0.39	0.04	0.86	0.05	0.02	0.05	−0.03	0.04
60	−0.45	0.05	0.85	0.06	0.02	0.07	−0.02	0.04
65	−0.51	0.05	0.82	0.06	0.01	0.07	−0.02	0.04
70	−0.56	0.06	0.78	0.07	0.01	0.08	−0.02	0.04
75	−0.61	0.07	0.76	0.08	0.01	0.09	−0.02	0.04
80	−0.62	0.09	0.72	0.09	−0.00	0.07	−0.02	0.04
85	−0.65	0.09	0.70	0.10	0.00	0.09	−0.01	0.05
90	−0.66	0.10	0.69	0.10	0.00	0.10	−0.02	0.05
95	−0.66	0.09	0.68	0.10	0.10	0.11	−0.01	0.05
100	−0.63	0.09	0.68	0.10	−0.01	0.10	0.01	0.05
105	−0.59	0.09	0.67	0.10	0.00	0.10	−0.01	0.05
110	−0.54	0.08	0.66	0.10	0.00	0.10	0.00	0.05
115	−0.48	0.08	0.66	0.12	0.00	0.09	0.00	0.05
120	−0.42	0.07	0.67	0.11	0.00	0.11	0.00	0.05
125	−0.37	0.05	0.69	0.09	0.01	0.09	0.01	0.05
130	−0.31	0.04	0.71	0.09	0.01	0.08	0.02	0.05
135	−0.26	0.03	0.72	0.07	0.01	0.10	0.02	0.05
140	−0.21	0.03	0.74	0.06	0.01	0.09	0.02	0.05
145	−0.16	0.03	0.75	0.09	0.01	0.10	0.02	0.05
150	−0.13	0.03	0.76	0.08	0.01	0.10	0.01	0.04
155	−0.10	0.02	0.77	0.06	0.00	0.09	0.02	0.04
160	−0.10	0.05	0.78	0.06	−0.01	0.08	0.02	0.04

Angle	S31 Ave	Std	S32 Ave	Std	S33 Ave	Std	S34 Ave	Std
10	0.00	0.01	0.04	0.03	0.97	0.08	0.01	0.05
15	0.00	0.01	0.04	0.03	0.96	0.08	−0.01	0.04
20	0.00	0.01	0.04	0.03	0.96	0.07	−0.01	0.05
25	−0.01	0.01	0.04	0.03	0.96	0.05	0.01	0.05
30	0.00	0.01	0.04	0.03	0.92	0.06	0.02	0.06
35	−0.01	0.01	0.04	0.04	0.91	0.06	0.03	0.06
40	0.00	0.01	0.04	0.03	0.89	0.06	0.02	0.06
45	0.00	0.01	0.04	0.04	0.85	0.07	0.03	0.06
50	−0.01	0.01	0.04	0.05	0.81	0.07	0.03	0.06
55	−0.01	0.02	0.03	0.06	0.76	0.07	0.01	0.06
60	−0.01	0.02	0.04	0.07	0.69	0.09	0.02	0.07
65	−0.01	0.02	0.04	0.07	0.61	0.09	0.01	0.07
70	0.00	0.02	0.05	0.06	0.52	0.10	0.01	0.07
75	0.00	0.02	0.04	0.10	0.42	0.10	0.00	0.07
80	0.00	0.02	0.05	0.10	0.30	0.11	0.01	0.07
85	0.00	0.02	0.04	0.09	0.18	0.09	0.00	0.07
90	0.01	0.03	0.05	0.10	0.07	0.08	−0.01	0.09
95	0.00	0.03	0.05	0.09	−0.06	0.09	−0.01	0.08
100	0.01	0.03	0.06	0.10	−0.18	0.09	−0.01	0.08
105	0.01	0.03	0.07	0.11	−0.27	0.10	0.01	0.09
110	0.01	0.03	0.06	0.10	−0.39	0.10	−0.01	0.09
115	0.01	0.03	0.05	0.10	−0.46	0.13	0.00	0.08
120	0.01	0.03	0.04	0.10	−0.53	0.13	−0.02	0.08
125	0.01	0.03	0.05	0.10	−0.61	0.12	0.00	0.08
130	0.01	0.03	0.04	0.10	−0.66	0.12	0.00	0.08
135	0.01	0.03	0.05	0.10	−0.70	0.12	0.00	0.08
140	0.01	0.03	0.05	0.09	−0.73	0.10	0.00	0.07
145	0.01	0.02	0.05	0.09	−0.75	0.12	0.00	0.08
150	0.01	0.02	0.05	0.08	−0.77	0.11	−0.01	0.08
155	0.01	0.02	0.06	0.08	−0.77	0.09	0.00	0.07
160	0.02	0.02	0.06	0.08	−0.74	0.09	−0.01	0.07

Angle	S41 Ave	Std	S42 Ave	Std	S43 Ave	Std	S44 Ave	Std
10	0.02	0.02	0.00	0.02	−0.02	0.05	0.97	0.08
15	0.02	0.02	0.00	0.02	−0.01	0.05	0.97	0.08
20	0.02	0.02	0.00	0.02	−0.01	0.05	0.97	0.07
25	0.03	0.02	0.02	0.03	−0.04	0.05	0.96	0.06
30	0.02	0.02	0.01	0.03	−0.05	0.06	0.92	0.06
35	0.02	0.02	0.01	0.03	−0.05	0.06	0.90	0.06
40	0.02	0.02	0.01	0.03	−0.04	0.06	0.88	0.06
45	0.02	0.02	0.00	0.04	−0.05	0.06	0.84	0.07
50	0.02	0.02	0.00	0.04	−0.04	0.07	0.79	0.07
55	0.03	0.03	0.00	0.04	−0.04	0.06	0.75	0.09
60	0.02	0.02	0.00	0.05	−0.04	0.06	0.67	0.10
65	0.02	0.03	0.00	0.06	−0.04	0.05	0.59	0.10
70	0.02	0.03	−0.02	0.05	−0.04	0.05	0.50	0.11
75	0.02	0.03	−0.01	0.08	−0.03	0.06	0.40	0.09
80	0.02	0.03	−0.01	0.06	−0.02	0.06	0.29	0.10
85	0.02	0.03	−0.02	0.08	−0.03	0.06	0.17	0.10
90	0.02	0.03	−0.02	0.08	−0.02	0.08	0.06	0.11
95	0.02	0.03	−0.02	0.07	−0.02	0.06	−0.05	0.10
100	0.02	0.03	−0.03	0.11	−0.01	0.07	−0.16	0.11
105	0.02	0.03	−0.03	0.10	−0.02	0.07	−0.24	0.12
110	0.02	0.03	−0.04	0.07	−0.01	0.07	−0.33	0.12
115	0.02	0.03	−0.03	0.09	−0.01	0.06	−0.39	0.11
120	0.02	0.03	−0.04	0.09	−0.02	0.07	−0.48	0.10
125	0.02	0.03	−0.03	0.08	−0.01	0.06	−0.54	0.12
130	0.02	0.03	−0.04	0.08	−0.02	0.07	−0.60	0.11
135	0.03	0.03	−0.05	0.08	−0.02	0.06	−0.63	0.12
140	0.02	0.03	−0.04	0.07	−0.01	0.06	−0.66	0.10
145	0.02	0.02	−0.04	0.08	0.00	0.06	−0.69	0.11
150	0.03	0.03	−0.05	0.08	0.00	0.06	−0.72	0.11
155	0.03	0.02	−0.05	0.07	0.00	0.05	−0.71	0.08
160	0.02	0.02	−0.02	0.07	0.01	0.05	−0.68	0.09

Angle	S32 Ave	Std
10	0.04	0.03
15	0.04	0.03
20	0.03	0.04
25	0.03	0.03
30	0.04	0.04
35	0.04	0.04
40	0.04	0.03
45	0.04	0.06
50	0.05	0.05
55	0.03	0.05
60	0.05	0.06
65	0.05	0.04
70	0.04	0.06
75	0.06	0.08
80	0.04	0.05
85	0.04	0.07
90	0.05	0.09
95	0.03	0.06
100	0.04	0.07
105	0.06	0.06
110	0.02	0.06
115	0.04	0.06
120	0.03	0.07
125	0.00	0.05
130	0.02	0.05
135	0.02	0.07
140	0.02	0.05
145	0.03	0.08
150	0.02	0.06
155	0.03	0.04
160	0.04	0.05

Abstract

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Figures (7)

Tables (6)

Equations (13)

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