(Solution) - a For a normal incidence upon the dielectric dielectric -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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(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.