Transmission and Reflection coefficients

Combine Eqs. (1-3) to find two simplified equations for the unknowns $\underline{R}$, $\underline{T}$.
Hint: One of your simplified equations should be $1+\underline{R}=\underline{T}$.

Solve your equations to find $\underline{R}$ and $\underline{T}$. (Don't worry if your solutions contain factors of $i$.)

What is the ratio of the amplitude (the actual (1/2)(max-min) ``amplitude'', not the ``complex amplitude'') of the transmitted wave to the real amplitude of the incoming wave?

What is the ratio of the real amplitude of the reflected wave to that of the incoming wave?

The energy of each wave is proportional to the square of its amplitude. Use this fact to verify that energy is conserved.