On the maximal power transfer theorem for n-ports

The maximal power problem is considered for several classes of terminating networks, in particular an arbitrary resistive n-port termination, and the case of a single resistor terminating each port. A duality theorem is established that converts the problem of maximizing power to the problem of minimizing a related function. The latter problem is solved completely for arbitrary resistive terminations, and examples are given. For completeness, some previously published work is discussed.