Phase-space representation of the reflected wave fields from random rough surfaces
Speaker: Valon Blakaj – PhD student (School of Mathematical Science, University of Nottingham)
Title: Phase-space representation of the reflected wave fields from random rough surfaces
Abstract: We present here a phase-space method for calculating the reflected wave fields from random rough surfaces driven by statistical sources. By using transformations based on the Wigner distribution function (WDF), we show the representation of wave fields in phase-space. This representation offers an efficient approach for modelling complex and noisy sources. In particular, we discuss a scattering operator, which gives an explicit connection between the incident field and the reflected field from random rough surfaces. By averaging the reflected fields over different realizations of random surfaces we obtain a diffuse scattering model in phase-space. The proposed method has been validated using full wave simulations. We show the validation results for different statistics of rough surfaces, where we have found a good agreement across the different scattering regimes.