In the resonant composites, the formerly developed Green’s function formalism (GFF) can be used to compute the local field distribution near resonance. In this paper, we extend the GFF in the infinite network to the semi-infinite networks by the method of image. Using the formalism, we investigate the local field distribution near resonance for the impurity clusters with admittance ∈0 embedded in one semi-infinite network with ∈1. With varying the admittance ∈2 of another semi-infinite network, we find that the local fields in the boundary experience great changes, especially at ∈2= -∈1. The existence of the boundary enhances the localization of the fields within and around the metallic clusters.Therefore, the intensity of local field is influenced by the arrangement of impurity metallic bonds and its distance from the boundary.