A Generalized Coupling Theorem for Ultra-High-Frequency Circuits

It is proved that a distributed potential gradient of any form maintained along a parallel line is, in general, equivalent to three pairs of point generators of proper amplitudes and phases suitably arranged along the line. In the special case in which the potential gradient is characterized by cosine (direct) symmetry with respect to a central reference co-ordinate, a single pair of point generators placed at the co-ordinate of the reference point is sufficient. If the symmetry is sinusoidal (inverted) with respect to the reference co-ordinate, two pairs of symmetrically placed point generators are required.