this is for holding javascript data
Lindsey Yue edited section_Reflection_Coefficients_The_reflection__.tex
almost 8 years ago
Commit id: 8525195622583f799a85cb48b9d8cbf6acb6b155
deletions | additions
diff --git a/section_Reflection_Coefficients_The_reflection__.tex b/section_Reflection_Coefficients_The_reflection__.tex
index d990fae..9854e2c 100644
--- a/section_Reflection_Coefficients_The_reflection__.tex
+++ b/section_Reflection_Coefficients_The_reflection__.tex
...
\mathbf{E}_{c1} \times \mathbf{\hat{n}} = \mathbf{E}_{c2} \times \mathbf{\hat{n}}
\end{equation}
%
\begin{equation} \begin{equation}\label{eq:hboundary}
\mathbf{H}_{c1} \times \mathbf{\hat{n}} = \mathbf{H}_{c2} \times \mathbf{\hat{n}}
\end{equation}
%
...
\mathbf{E}_{c} = \mathbf{E}_{0} e^{-2 \pi i \left( \mathbf{w}' \cdot \mathbf{r} - i \mathbf{w}'' \cdot \mathbf{r} \right)}, \quad \mathbf{E}_{0} = E_{\parallel} \mathbf{\hat{e}}_{\parallel} + E_{\perp} \mathbf{\hat{e}}_{\perp}
\end{equation}
%
Considering incident, reflected, and transmitted electric fields at a point on the boundary, Eqs. \label{eq:eboundary} and \label{eq:hboundary} become:
%
\begin{equation}
\mathbf{E}_{c\mathrm{i}} \times \mathbf{\hat{n}} + \mathbf{E}_{c\mathrm{r}} \times \mathbf{\hat{n}} = \mathbf{E}_{c\mathrm{t}} \times \mathbf{\hat{n}}
\end{equation}
With the coordinate origin on the boundary, at the point $\mathbf{r}=0$, Eq. \ref{eq:eboundary} becomes