Electromagnetic field theory as system theory

摘要

This paper presents a transformation of Maxwell's equations for general nonlinear material operators into a system state equation of an equivalent nonlinear distributed parameter system. The proposed formulation has a fair amount of practical and didactic advantages, with regard to modeling hysteresis and memory effects, understanding causality, control and stability of electromagnetic fields, formulating multiphysics models, as well as computing analytic solutions or constructing numerical solution algorithms.