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We present a new method of moments solution procedure for calculating electromagnetic scattering and radiation from conductor/dielectric composite structures. The solution is obtained using triangular patch modeling and a recently developed pair of mutually orthogonal pulse basis functions to represent the equivalent currents J and M. The pulse basis functions are defined with respect to the edges in the triangulated model and partially spread over the triangles connected to the edge. The orthogonality of the basis functions allows the development of stable solutions for all formulations and configurations investigated. A set of numerical results is presented that illustrates the efficacy of the present approach.