Consider Figure 4.6 in the book "Elementary Scattering Theory". Show that the two hypothetical scattering length density profiles produce the same reflectivity curves. You should calculate an expression for R(Q) or the autocorrelation function. What would need to be varied in the three layer sample for this to no longer be true?

1x105 1x10* 1x102 1x10' 1x102 Reflectivity 1x10 1x10 1x10 1x10-19 10-12 0.02 0.03 0.04 0.05 0.06 0.07 q(A*')