Electromagnetic Scattering for Multiple PEC Bodies of Revolution Using Equivalence Principle Algorithm

An equivalence principle algorithm (EPA) method is extended to analyze the electromagnetic scattering from multiple bodies of revolution (MBoR) with the axes arbitrarily oriented. Equivalence spheres are used to enclose each BoR and the equivalence currents are expanded by the basis functions of bodies of revolution (BoR). To obtain the scattering operators and translation operators of EPA for Fourier modes independently, the rotational symmetry systems are established in local BoR coordinate systems. The origin of the local BoR coordinate system is located at the center of the equivalence sphere and the z-axis coincides with the axis of the enclosed BoR to obtain the scattering operator of each equivalence sphere, whereas the origin is located at the observation sphere and z-axis passes through the center of the source sphere to obtain the translation operator of each pair of equivalence spheres. The current coefficient transformation algorithm is used to transform the equivalence currents among local BoR coordinate systems. The total equation is iteratively solved in the global coordinate system. The proposed scheme is especially efficient for the analysis of scattering from MBoR randomly distributed in electrically large scale region. Numerical results are given to demonstrate the efficiency.