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In this paper, we consider an electromagnetic wave impinging upon a rough surface under impedance boundary condition (IBC), which means that the rough surface is highly-conducting. This work focuses on the two-dimensional rough surfaces, and uses the method of Moments as the numerical method. Finally, we compare the results with different permittivities and incident angles. It is helpful for the depth study of detecting the object above the real sea surface. Key words—scattering of electromagnetic waves; highly-conducting; rough surfaces; Method of Moments I. INTRODUCTION Recently, research in the domain of electromagnetic scattering from randomly rough surfaces has been attracting more and more attention, due to its extensive applications in the fields of meteorology, navigation, oceanography, environment, military and many other important areas. This study is concerned about scattering from a sea surface, all the works are based on the numerical method -- the method of moments (MoM). The method of moments is a kind of numerical method which is based on discrete the integral equations, and using integral equations have their own priority: First, due to the introduction of the Green function, the radiation condition of the electromagnetic field at infinity has been analytically included in the integral equation, so the relationship between unknowns can be accurately obtained to avoid numerical dispersion; Second, the number of unknowns generated by the integral equation are much less than that generated by the differential equations, so it is more applicable to calculate the electromagnetic scattering of a large target. In fact, this method is the key part of work. According to the Maxwell equations and boundary conditions, the equation of the rough surfaces scattering is derived, this equation is discretized by the method of moments. That is to turn the solution of integral equations into matrix equations for solving. We can calculate the electromagnetic field or surface electromagnetic currents from the integral equations. Then, we can compute the far electromagnetic field from the Huygens principle. The key here is to solve

Scattering by a Two-dimensional Highly-Conducting Rough Surface