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Forward propagating wave

Rearrange equation, 88 to give,

$\displaystyle E_{1}^{-} = E_{1}^{+}-\frac{n_2}{n_1}(E_{2}^{+}-E_{2}^{-})$ (89)

Inserting in equation 85, gives

$\displaystyle E_{2}^{+}+E_{2}^{-}=E_{1}^{+}+E_{1}^{+}-\frac{n_2}{n_1}(E_{2}^{+}-E_{2}^{-})$ (90)

$\displaystyle 2E_{1}^{+}=E_{2}^{+}+E_{2}^{-}+\frac{n_2}{n_1}(E_{2}^{+}-E_{2}^{-})$ (91)

$\displaystyle 2E_{1}^{+}\frac{n_1}{n_1+n_2}=E_{2}^{+}+E_{2}^{-}\frac{n_1-n_2}{n_1+n_2}$ (92)



rod 2017-12-08