Hybrid surface integral equations for optimal analysis of perfectly conducting bodies

We consider hybrid formulations involving simultaneous applications of the electric-field integral equation (EFIE), the magnetic-field integral equation (MFIE), and the combined-field integral equation (CFIE) for the electromagnetic analysis of three-dimensional conductors with arbitrary geometries. By selecting EFIE, MFIE, and CFIE regions on a given object, and optimizing these regions in accordance with the simulation requirements, one can construct an optimal hybrid-field integral equation (HFIE) that performs better than the standard formulations in terms of accuracy and/or efficiency. We present diverse performances of different HFIEs on simple problems and demonstrate the critical importance of region optimizations for computationally optimal solutions.