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We study the fractal properties of the two-dimensional (2D) discrete scale-invariant (DSI) rough surfaces. The contour lines of these rough surfaces show clear DSI. In the appropriate limit the DSI surfaces converge to the scale-invariant rough surfaces. The fractal properties of the 2D DSI rough surfaces apart from possessing the discrete scale-invariance property follow the properties of the ...

This paper discusses several approaches to scattering from slightly rough» very rough, composite, and rough spherical surfaces. Average incoherent scattering cross sections for slightly rough surfaces are obtained using a perturbation technique for a perfect conductor, and for a surface material which is homogeneous (with variable permeability, \Lr, as well as permittivity, «r)« The results, co...

The effects of rough surface scattering on the detection and imaging of objects are important in many applications including the imaging of objects on or near ocean surfaces and the detection of objects buried under ground rough surfaces. This paper focuses on the following problems: (1) Scattering from wedge-like rough surfaces representing ocean surfaces with sharp crested waves. (2) Scatteri...

An efficient algorithm for wave scattering from two-dimensional lossy rough surfaces is proposed. It entails the use of a single magnetic field integral equation (SMFIE) in conjunction with a multilevel sparse-matrix canonical-grid (MSMCG) method. The Rao–Wilton–Glisson (RWG) triangular discretization is adopted to better model the rough surface than the pulse basis functions used in the well-e...