Field and Wave Electromagnetics 2nd Edition by David Cheng

Exercise 42

In some books the reflection and transmission coefficients for parallel polarization are defined as the ratios of the amplitude of the tangential components of the reflected andtransmitted E fields, respectively, to the amplitude of the tangential component of theincident E field. Let the coefficients defined in this manner be designated
respectively.
a) Find
in terms of n 1 , n 2 , i and i t and compare them with and t m in Eqs. (8-221) and (8-222).
b) Find the relation between
, and compare it with Eq. (8-223).