Analysis of the scale conditions for the rough surface

The basis of scale measurement is that the two electromagnetic systems of model and prototype must satisfy the similar conditions. This paper derives the scale theory which is applied to the scattering of rough surface. To the rough surface, the scale model must be similar to the prototype in geometry. Therefore, the scale conditions for the geometry of 1-D rough surface is also studied, which is prepared for calculating the scattering of rough surface based on the scale models. To compare the scattering characteristics of model and prototype, the RCS of 1-D perfectly electrically conducting (PEC) and dielectric Gaussian rough surface are calculated according to the method of moments (MoM). The numerical results show that the scale conditions for the geometry of rough surface presented in this paper are valid.