deletions | additions       diff --git a/section_Reflection_Coefficients_The_reflection__.tex b/section_Reflection_Coefficients_The_reflection__.tex  index 5020a69..cc43f7d 100644  --- a/section_Reflection_Coefficients_The_reflection__.tex  +++ b/section_Reflection_Coefficients_The_reflection__.tex 
...
\begin{equation}  \mathbf{E}_{0\mathrm{i}} e^{-2 \pi i \left( \mathbf{w}'_{\mathrm{i}} \cdot \mathbf{r} - i \mathbf{w}''_{\mathrm{i}} \cdot \mathbf{r} \right)} \times \mathbf{\hat{n}} + \mathbf{E}_{0\mathrm{r}} e^{-2 \pi i \left( \mathbf{w}'_{\mathrm{r}} \cdot \mathbf{r} - i \mathbf{w}''_{\mathrm{r}} \cdot \mathbf{r} \right)} \times \mathbf{\hat{n}} = \mathbf{E}_{0\mathrm{t}} e^{-2 \pi i \left( \mathbf{w}'_{\mathrm{t}} \cdot \mathbf{r} - i \mathbf{w}''_{\mathrm{t}} \cdot \mathbf{r} \right)} \times \mathbf{\hat{n}}  \end{equation}  %  and  %  \begin{equation}  \mathbf{H}_{c\mathrm{i}} \times \mathbf{\hat{n}} + \mathbf{H}_{c\mathrm{r}} \times \mathbf{\hat{n}} = \mathbf{H}_{c\mathrm{t}} \times \mathbf{\hat{n}}  \end{equation}  %  \begin{equation}  \mathbf{H}_{0\mathrm{i}} e^{-2 \pi i \left( \mathbf{w}'_{\mathrm{i}} \cdot \mathbf{r} - i \mathbf{w}''_{\mathrm{i}} \cdot \mathbf{r} \right)} \times \mathbf{\hat{n}} + \mathbf{H}_{0\mathrm{r}} e^{-2 \pi i \left( \mathbf{w}'_{\mathrm{r}} \cdot \mathbf{r} - i \mathbf{w}''_{\mathrm{r}} \cdot \mathbf{r} \right)} \times \mathbf{\hat{n}} = \mathbf{H}_{0\mathrm{t}} e^{-2 \pi i \left( \mathbf{w}'_{\mathrm{t}} \cdot \mathbf{r} - i \mathbf{w}''_{\mathrm{t}} \cdot \mathbf{r} \right)} \times \mathbf{\hat{n}}  \end{equation}  %  With the coordinate origin on the boundary, at the point $\mathbf{r}=0$, Eq. \ref{eq:eboundary} becomes