Right-hand side effect on the convergence of integral equation based systems

A study of the right-hand side effect for an iterative solver is presented. The right-hand side determines whether a mode can be excited under certain excitation. Based on the matrix equation system A̅ · x = b, different formulations are discussed including the electric field integral equation (EFIE), Calderón preconditioned EFIE with electro-quasi-static problems, and the magnetic integral equation (MFIE) with magneto-quasi-static problems. Detailed spectral analysis shows the importance of the weighted right-hand side effect in both the convergence and accuracy of iterative system.