Boundary Conditions

#Physics
Boundary conditions for light going through different media

$\displaystyle {\varepsilon}{1}E{1}^{\perp}={\varepsilon}{2}E{2}^{\perp}$

$\displaystyle B_{1}^{\perp}=B_{2}^{\perp}$

$\displaystyle \vec{E}{1}^{\parallel }=\vec{E}{2}^{\parallel }$

$\displaystyle \frac{1}{{\mu}{1}}\vec{B}{1}^{\parallel }-\frac{1}{{\mu}{2}}\vec{B}^{\parallel }=\vec{K}{f}\times \hat{n}$

• $\displaystyle \vec{K}$ is the surface current density