The sensor in the image above is a CCD detector that measures light intensity as a function of the reflection angle. Draw a sketch of a diagram that plots this intensity distribution as a function of the reflection angle, and indicate in the diagram how the angle of incidence $(i_{-}$TIR$)$ can be read. Specifically, mark the areas in the diagram that correspond to total internal reflection $($TIR$),$ partial reflection $($partial R$),$ and the critical angle $($i$\_$TIR$).$ Also, indicate which of the three incident rays $(1,2,$ and $3)$ corresponds to which of the reflected and refracted rays $(a,b,c,d,$ and e$).$