@@ -21,7 +21,7 @@ Scattering from a multilayered sample with correlated roughness.
**Note:**
The roughness profile is described by a normally-distributed random function. The roughness correlation function at the jth interface is expressed as: $$ <U\_j(x,y)U\_j(x',y')> = \sigma^2 e^{-\frac{\tau}{ξ}2H}, \tau=[(x-x')^2+(y-y')^2]^{\frac{1}{2}}$$
The roughness profile is described by a normally-distributed random function. The roughness correlation function at the jth interface is expressed as: $$ <U\_j(x,y)U\_j(x',y')> = \sigma^2 \frac{2^{1-H}}{\Gamma(H)} \left( \frac{\tau}{ξ} \right)^H K_H \left( \frac{\tau}{ξ} \right), \tau=[(x-x')^2+(y-y')^2]^{\frac{1}{2}}$$
* $U\_j(x, y)$ is the height deviation of the jth interface at position $(x, y)$.
* $\sigma$ gives the rms roughness of the interface. The Hurst parameter $H$, comprised between $0$ and $1$ is connected to the fractal dimension $D=3-H$ of the interface. The smaller $H$ is, the more serrate the surface profile looks. If $H = 1$, the interface has a non fractal nature.
