(a) For a normal incidence upon the dielectric dielectric interface for which 1 2 o we define R and T as the reflection and transmission coefficients for average powers, i e , Pr,ave RPi,ave and Pt,ave TPi,ave Prove that where n1, and n2 are the reflective indices of the media (b) Determine the ratio n1 n2 so that the reflected and the transmitted waves have the same average power 4n n2 (n, na) and n2 T n, n2 )

Question: (a) For a normal incidence upon the dielectric-dielectric interface for which ?1 = ?2 = ?o we define R and T as the reflection and

(a) For a normal incidence upon the dielectric-dielectric interface for which ?1 = ?2 = ?o we define R and T as the reflection and transmission coefficients for average powers, i.e., Pr,ave = RPi,ave and Pt,ave = TPi,ave. Prove that 4n n2 (n, + na) and n2 T = n, + n2 where n1, and n2 are the reflective indices of the media.(b) Determine the ratio n1/n2 so that the reflected and the transmitted waves have the same average power.

4n n2 (n, + na) and n2 T = n, + n2 )-

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