Mathematical Analysis of Nanostructured Surfaces: The Period-Scale Transform

Figure 1

(a, b) Two profiles (Gaussian pulse trains) with identical periods (=80) but different peak widths (5 and 10, respectively). (c, d) The power spectra (PS) of the two profiles of (a) and (b) showing the difference in two cases: less peaks in profile of (b) with wider features. Despite the difference in the number of peaks in two power spectra, one cannot extract the real widths of profiles in a quantitative straightforward way.

(a)

(b)

(c)

(d)