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The electromagnetic scattering for the interaction between a perfectly conducting plate and a 2D conducting rough surface is investigated. Taking advantage of the reciprocity theorem, the difficulty in formulating the secondary scattered fields from the composite target reduces to the evaluation of an integral equation involving the polarization currents of the conducting plate and the scattered fields from the slightly rough surface. The induced polarization current on the conducting plate and the scattered fields from the slightly rough surface are evaluated using the physical optics (PO) method and the small perturbation method (SPM), respectively. The formulation for the backscattering field of the composite model is derived and the numerical results are presented. The dependence of the scattering cross section of the composite model on the position of the plate is discussed.