“…Also, the nonzero substrate roughness ζ can affect the detailed film morphology, as found in experiments. 33,34 The second layer surface perturbation can then be calculated for rough film-substrate interface, with the result: The original k-layer structure that we study, with growing and undulating surface (located at z = h k (x, y, t)) and with nonplanar and frozen interfaces (located at z = hi(x, y)) between buried layers i = k − 1, k − 2, ..., 1, and 0 (substrate). The elastic displacement field of each layer is indicated as uα,i| k with α = x, y, z.…”