A plane electromagnetic wave travelling in vacuum is incident normally on a non-magnetic, non-absorbing medium of refractive index n. The incident (Ei), reflected (Er) and transmitted (Et) electric fields are given as
Ei = E exp[i(kz - ωt)], Er = E0r exp[i(krz - ωt)], Et = E0t exp[i(ktz - ωt)]
If E = 2 V/m and n = 1.5, then the application of appropriate boundary conditions leads to
A. $${E_{0r}} = - \frac{3}{5}V/m,\,{E_{0t}} = \frac{7}{5}V/m$$
B. $${E_{0r}} = - \frac{1}{5}V/m,\,{E_{0t}} = \frac{8}{5}V/m$$
C. $${E_{0r}} = - \frac{2}{5}V/m,\,{E_{0t}} = \frac{8}{5}V/m$$
D. $${E_{0r}} = \frac{4}{5}V/m,\,{E_{0t}} = \frac{6}{5}V/m$$
Answer: Option C

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