# Fresnel Formulas-interesting

#### Stalker

Derive Fresnel Formulas for the case when magnetic permeability (myu) is not 1. How will they look like? In most cases myu=1, so the Snells formula becames easy , and after it we get Fresnel Formulas, with the help of Snell Formula.What will be when myu is not 1?

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#### sniffer

$$r_{\bot} \equiv \left( \frac {E_{0r}}{E_{0i}} \right) = \frac {\frac {n_i}{\mu_i} Cos \theta_i - \frac {n_t}{\mu_t} Cos \theta_t} {\frac {n_i}{\mu_i} Cos \theta_i + \frac {n_t}{\mu_t} Cos \theta_t}$$

#### sniffer

perpendicular reflection coefficient:
$$r_{\bot} \equiv \left( \frac {E_{0r}}{E_{0i}} \right)_{\bot} = \frac {\frac {n_i}{\mu_i} Cos \theta_i - \frac {n_t}{\mu_t} Cos \theta_t} {\frac {n_i}{\mu_i} Cos \theta_i + \frac {n_t}{\mu_t} Cos \theta_t}$$
transmission coefficient:
$$t_{\bot} \equiv \left( \frac {E_{0t}}{E_{0i}} \right)_{\bot} = \frac {2 \frac {n_i}{\mu_i} Cos \theta_i} {\frac {n_i}{\mu_i} Cos \theta_i + \frac {n_t}{\mu_t} Cos \theta_t}$$

I copy these from Hecht-Optics page 114.

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