Fresnel's Equation

#Physics

$\displaystyle \tilde{E}{0{R}}=\left( \frac{\alpha-\beta}{\alpha+\beta} \right)\tilde{E}{0{I}}$

Reflected wave amplitude for incident wave that hits the boundary at an angle $\displaystyle \theta_{I}$ (angle between the normal to the boundary and the incident wave propagation wave)
$\displaystyle \alpha\equiv \frac{\cos \theta_{T}}{\cos \theta_{I}}$
- $\displaystyle \theta_{T}$ is the angle between the normal to the boundary and the transmitted wave propagation vector
$\displaystyle \beta\equiv \frac{{\mu}{1}v{1}}{{\mu}{2}v{2}}=\frac{{\mu}{1}n{2}}{{\mu}{2}n{1}}$