Unified Theory of Characteristic Modes—Part I: Fundamentals

A unification of characteristic mode decomposition for all method-of-moment (MoM) formulations the field integral equations describing free-space scattering is derived. The work based on an algebraic link between impedance and transition matrices, latter which was used in early definitions modes uniquely defined scenarios. This also makes it possible to extend known application domain any other frequency-domain solver capable generating such as finite difference or element methods. formulation using a matrix allows induced currents scattered fields from arbitrarily shaped objects, providing high numerical dynamics increased stability, removing issue spurious modes, offering good control convergence. first part two-part article introduces entire theory, extensively discusses its properties, offers basic validation.