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The composite electromagnetic scattering from dielectric targets above and below the dielectric rough surface using the method of moments (MOM) and the Extended Propagation-Inside-Layer Expansion (EPILE) combined with the Forward-Backward method (FBM) is studied. The established integral equations are validated by comparing with the related theory. The efficiency and exactness of the EPILE+FBM are verified by comparing with the MOM. The influences from the target size, the target height/depth, the target horizontal distance, the relative permittivity, the rms height, as well as the correlation length to the bistatic scattering coefficient are also investigated. The presented scheme is of generality for the targets and rough surface composite scattering problems.