Let k₁ = (k_1x , 0, k_1z) be the wave vector of a plane wave incident on the x-y plane which separates simple medium 1 from simple medium 2.
(a) Use 

(i) The Maxwell matching conditions for each component of the electric field and 

(ii) The fact that plane waves in a simple medium are transverse to prove that

Show that these are the Fresnel equations for p-polarization.
(b) Use a similar method and derive similar equations for HR z /HI
z and HT z /HI z . Show that these are the Fresnel equations for s-polarization.

Transcribed Image Text:

ER EL N = k1z €2 - k2z €1 k1z €2+k2₂ €1 ET EL N 2k1z €1 K1₂ €2+k2₂ €1