Theory of Maxwellian circuits

It is shown that the currents on thin wire structures including antennas and open transmission lines are solutions of ordinary differential equations as well as integral equations. The existence and uniqueness of the differential operators are proved. The differential operators naturally lead to equivalent circuits. These equivalent circuits, containing dependent sources, are not the conventional Kirchhoff type. Each solution of the equivalent circuits is the same as that of the integral equation, from which the circuit elements are obtained. Such circuits are termed “Maxwellian circuits.”