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Fresnel Formulas-interesting

  1. Jun 25, 2005 #1
    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?
     
  2. jcsd
  3. Jun 25, 2005 #2
    [tex]
    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}
    [/tex]
     
  4. Jun 25, 2005 #3
    perpendicular reflection coefficient:
    [tex]
    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}
    [/tex]
    transmission coefficient:
    [tex]
    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}
    [/tex]

    I copy these from Hecht-Optics page 114.
     
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