The maximum power transfer theorem (MPT) for the inductive resonant coupling (IRC) of information transfer (IT) circuits was extended more than half a century ago. In that extension, the mutual inductance of the coupling was used as the optimization parameter, and the equality of the primary circuit resonance frequency with the secondary circuit resonance frequency was assumed. Hence the extension is not applicable to a general (i.e., composed by elements of arbitrary circuit constants) inductive resonant coupling (GIRC). A new method “the dual optimization” is introduced to derive an extended maximum power transfer theorem (EMPT) for a GIRC. By applying the EMPT to a GIRC, a maximum power condition (such as the values of circuit reactances) that causes a unified resonance is given.
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