# Polarization Transmission of Visible Light in Inhomogeneous Sea Fog Particle Environment
## 4 Results and Discussion
### Experimental Results and Discussion
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Relative Humidity/\%** & **Polarization State** & **M\%** \\ \hline \multirow{3}{*}{45} & Horizontal & 77.75 \\  & Vertical & 75.29 \\  & 45\({}^{\circ}\) & 79.47 \\  & Right-hand rotation & 79.15 \\ \hline \multirow{3}{*}{55} & Horizontal & 76.69 \\  & Vertical & 75.45 \\  & 45\({}^{\circ}\) & 76.21 \\  & Right-hand rotation & 79.62 \\ \hline \multirow{3}{*}{65} & Horizontal & 81.12 \\  & Vertical & 84.6 \\  & 45\({}^{\circ}\) & 79.29 \\  & Right-hand rotation & 83.01 \\ \hline \multirow{3}{*}{75} & Horizontal & 84.84 \\  & Vertical & 82.89 \\  & 45\({}^{\circ}\) & 83.66 \\ \cline{1-1}  & Right-hand rotation & 82.45 \\ \hline \multirow{3}{*}{85} & Horizontal & 79.78 \\  & Vertical & 79.97 \\ \cline{1-1}  & 45\({}^{\circ}\) & 77.47 \\ \cline{1-1}  & Right-hand rotation & 83.56 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Accuracy calculation results of inhomogeneous particle scattering models under five relative humidity conditions. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Wavelength/nm** & **Polarization State** & **M\%** \\ \hline \multirow{3}{*}{450} & Horizontal & 77.95 \\  & Vertical & 84.39 \\  & 45\({}^{\circ}\) & 75.9 \\  & Right-hand rotation & 80.71 \\ \hline \multirow{3}{*}{532} & Horizontal & 80.61 \\  & Vertical & 80.68 \\  & 45\({}^{\circ}\) & 79.01 \\  & Right-hand rotation & 88.62 \\ \hline \multirow{3}{*}{671} & Horizontal & 80.12 \\  & Vertical & 81.36 \\  & 45\({}^{\circ}\) & 82.35 \\ \cline{1-1}  & Right-hand rotation & 79.42 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Accuracy calculation results of inhomogeneous particle scattering model under three wavelength conditions. results have consistent laws. This finding indicates the accuracy of the inhomogeneous particle scattering model. Comparative Analysis of the Polarization Characteristics of Inhomogeneous Particles and Homogeneous Particles  
In past research about sea fog particle polarization transmission, most of the inhomogeneous particles were considered homogeneous particles for analysis. Compared with homogeneous particles, the actual inhomogeneous particles have a layered structure, and the particles' refractive index is complex and changeable because of the influence of many factors. In a few cases, the inhomogeneous particles can be ideally homogenized, and most of the ideal homogenization is often accompanied by nonnegligible errors. We define the difference in polarization transmission characteristics between inhomogeneous sea fog particles and homogeneous sea fog particles as \(C\):  
\[C=P_{U}-P_{N} \tag{22}\]  
\(P_{U}\) is the simulation result of homogeneous sea fog particles' DOP, and \(P_{N}\) is the simulation result of homogeneous sea fog particles' DOP. Figure 13 shows the relationship between \(C\) and the optical thickness under the same wavelength and the same relative humidity. When the optical thickness is 0-1, the linearly polarized light and the circularly polarized light have an upward trend of \(C\), and the rising rate of the circularly polarized light and the linearly polarized light is close. The \(C\) of the linearly polarized light stabilizes when the optical thickness is 1-5, and then it gradually decreases. However, the \(C\) of circularly polarized light continues to rise with a difference of 20-50%. This finding indicates that the ideal homogenization processing method is used to solve the problem of inhomogeneous particle transmission for linearly polarized light. Although the calculation results have small errors, the variation law close to the actual situation can be obtained. For circularly polarized light, if use ideal homogenization method to solve the transmission problem of inhomogeneous particles, it will acquire big errors. Even the final polarization characteristic variation law deviates from the actual situation.