To solve the scattering from complex object combining conductor and medium, this paper proposes a hybrid iterated method combining single integral equation (SIE) and Kirchhoff approximation (KA). Firstly, SIE is used to calculate the electromagnetic current in the facet of the conductor-medium assembly object. Then, the electric and magnetic currents on the facet of a rough surface are calculated by KA. The electromagnetic current on the facet of object and a rough surface are updated by mutual iteration. Finally, some examples for composite scattering from object above a rough surface are analysed and discussed in detained.
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