## 3 Results and Discussion
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{3}{*}{**Type**} & \multirow{3}{*}{**Tissues**} & \multicolumn{6}{c}{**Linear Birefringence Fast Axis Orientation**} \\ \cline{3-8}  & & \multicolumn{3}{c}{\(R^{2}\)} & \multicolumn{3}{c}{\(p\)} \\ \cline{3-8}  & & \(\theta_{c}\)\(\leftarrow\)\(\phi_{2343}\) & \(\theta_{c}\)\(\leftarrow\)\(\phi_{2433}\) & \(\theta_{c}\)\(\leftarrow\)\(\phi_{qr}\) & \(\theta_{c}\)\(\leftarrow\)\(\phi_{2434}\) & \(\theta_{c}\)\(\leftarrow\)\(\phi_{2433}\) & \(\theta_{c}\)\(\leftarrow\)\(\phi_{qr}\) \\ \hline \multirow{8}{*}{Forward} & colorectal & 0.97 & 0.97 & 1.00 & \textgreater{}0.05 & \textgreater{}0.05 & \textgreater{}0.05 \\  & ITB & 0.94 & 0.82 & 0.99 & \textgreater{}0.05 & \textless{}0.01 & \textgreater{}0.05 \\  & liver & 0.95 & 0.44 & 0.99 & \textless{}0.01 & \textgreater{}0.05 & \textgreater{}0.05 \\  & CD & 0.97 & 0.95 & 0.99 & \textgreater{}0.05 & \textgreater{}0.05 & \textgreater{}0.05 \\  & bladder & 0.97 & 0.93 & 0.99 & \textgreater{}0.05 & \textgreater{}0.05 & \textgreater{}0.05 \\  & breast & 0.94 & 0.98 & 0.99 & \textgreater{}0.05 & \textgreater{}0.05 & \textgreater{}0.05 \\  & adenoma & 0.98 & 0.97 & 1.00 & \textgreater{}0.05 & \textgreater{}0.05 & \textgreater{}0.05 \\  & Total & 0.88 & 0.92 & 0.99 & \textgreater{}0.05 & \textgreater{}0.05 & \textgreater{}0.05 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Correlation and statistical analysis comparison results between forward measured MMT and MMPD linear birefringence orientation parameters for each kind of thin tissue samples. Figure 5: Comparison of linear birefringence fast axis orientation MMT and MMPD parameters of thin tissue samples. (**a**) Variance of linear birefringence orientation MMPD parameter \(\theta_{e}\) plotted against its counterpart MMT parameter \(\phi_{2434}\) for correlation analysis with all seven kinds of thin tissue samples. (**b**) Statistical analysis bar chart of linear birefringence orientation MMPD parameter \(\theta_{e}\) and MMT parameter \(\phi_{2434}\) for each kind of thin tissue samples. (**c**) Variance of linear birefringence orientation MMPD parameter \(\theta_{e}\) plotted against its counterpart MMT parameter \(\phi_{2423}\) for correlation analysis with all seven kinds of thin tissue samples. (**d**) Statistical analysis bar chart of linear birefringence orientation MMPD parameter \(\theta_{e}\) and MMT parameter \(\phi_{4243}\) for each kind of thin tissue sample. For the correlation analysis, Figure 5a,c,e show that compared with the parameter groups (\(\theta_{c}\), \(\phi_{2343}\)), (\(\theta_{c}\), \(\phi_{4243}\)) and (\(\theta_{c}\), \(\phi_{qr}\)), the correlation coefficient values of (\(\theta_{c}\), \(\phi_{qr}\)) for all the samples are larger. We can also find the difference more clearly in Table 6, where the correlation coefficient values of (\(\theta_{c}\), \(\phi_{2434}\)) and (\(\theta_{c}\), \(\phi_{4243}\)) deviate with each other ranging between 0.44 to 0.98, while for (\(\theta_{c}\), \(\phi_{qr}\)) the values are more stable and closer to 1 for all kinds of thin tissue samples. For the statistical analysis, the group (\(\theta_{c}\), \(\phi_{qr}\)) shows no statistically significant difference with \(p>0.05\) according to Table 6 and Figure 5b,d,f, which means that the modified MMT parameters \(\phi_{qr}\) has the similar ability as the MMPD parameter \(\theta_{e}\) for revealing the linear birefringence orientation information of complicated thin tissue samples. Quantitative Comparison of Linear Birefringence Orientation Related MMPD and MMT Parameters for Backscattering Imaging of Bulk Tissue Samples  
For the backscattering measurement results of bulk tissue samples, the modified linear birefringence orientation MMT parameter \(\phi_{qr}\) also shows a good fit with the MMPD parameter \(\theta_{e}\).