next up previous
: Usual solution : Refelction and Transmission : Condition IV:

Reflection and Transmission Coefficients

In the end we obtain, for p-wave
$\displaystyle (E_p - R_p ) \cos\theta$ $\textstyle =$ $\displaystyle T_p \cos\theta''$ (91)
$\displaystyle \tilde{n_1} (E_p + R_p )$ $\textstyle =$ $\displaystyle \tilde{n_2} T_p + \frac{\sigma_{12}(k\sin\theta, \omega)}{\epsilon_0 \tilde{n_1} \sin\theta }$ (92)
$\displaystyle \frac{\tilde{n_1} }{ \mu_1 }( E_p + R_p )$ $\textstyle =$ $\displaystyle \frac{\tilde{n_2}}{ \mu_2 }T_p + c \mu_0 [J_s (k\sin\theta, \omega)]_y$ (93)

and for s-wave
$\displaystyle E_s + R_s$ $\textstyle =$ $\displaystyle T_s$ (94)
$\displaystyle \frac{\tilde{n_1} \cos\theta}{ \mu_1 } (E_s - R_s )$ $\textstyle =$ $\displaystyle \frac{\tilde{n_2} \cos\theta''}{ \mu_2 } T_s + c \mu_0 [J_s (k\sin\theta, \omega)]_x$ (95)



Yamamoto Masahiro 平成14年8月30日