Modeling the remotely sensed optical contrast caused by oil suspended in the sea water column

Zbigniew Otremba; Jacek Piskozub

doi:10.1364/OE.11.000002

Optics Express
Vol. 11,
Issue 1,
pp. 2-6
(2003)
•https://doi.org/10.1364/OE.11.000002

Modeling the remotely sensed optical contrast caused by oil suspended in the sea water column

Zbigniew Otremba and Jacek Piskozub

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Zbigniew Otremba and Jacek Piskozub, "Modeling the remotely sensed optical contrast caused by oil suspended in the sea water column," Opt. Express 11, 2-6 (2003)

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Abstract

The reflectance of sea areas polluted by an oil-in-water emulsion was modeled using the radiance transfer Monte Carlo code. Example results of the contrast function parameterized by the observation angle for various angles of incident sunlight, various sea surface roughness states and two optically different types of seawaters are presented.

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Fig. 1. Reflectance calculated for a sea area polluted by oil emulsion (left plot) in relation to reflectance for a clean one (right plot)

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Fig. 2. Contrast of sea areas polluted by oil emulsion as dependent on direction of observation for various sea surface roughness (calm – upper row, roughened by wind - central and lower rows), and for two optically different sea waters (turbid water – left column, ocean water – right column). Blue lines relates to angles of light incidence of 0°, green – 30°, red – 60°.

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Equations (4)

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R (θ_{i}, φ_{i}, θ_{r}, φ_{r}) = \frac{{dL}_{r} (θ_{r}, φ_{r})}{{dE}_{i} (θ_{i}, φ_{i})}

L_{r} (θ_{r}, φ_{r}) = \int_{0}^{2 π} \int_{0}^{\frac{π}{2}} R (θ_{i}, φ_{i}, θ_{r}, φ_{r}) L_{i} (θ_{i}, φ_{i}) \cos θ_{i} \sin θ_{i} d θ_{i} d φ_{i}

R (θ, φ) = \frac{\frac{N_{r}}{\cos θ_{r} ΔΩ}}{N_{i} \cos θ_{i}}

c (θ_{r}, φ_{r}, θ_{i}, φ_{i}) = \frac{R_{p} (θ_{r}, φ_{r}, θ_{i}, φ_{i}) - R_{c} (θ_{r}, φ_{r}, θ_{i}, φ_{i})}{R_{c} (θ_{r}, φ_{r}, θ_{i}, φ_{i})}

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