Microwave and Radar Engineering

APP E

Manley–Rowe Relations

MR power relations are general power relations that are useful in predicting whether power gain is possible in any non-linear reactance. They represent conservation of energy. They considered the circuit as shown in Figure 1. It consists of resistive loads in a series with band pass filters connected in parallel with a lossless nonlinear capacitance. These filters reject power at all frequencies other than at their respective signal frequencies. A signal generator (v_s) and a pump generator (v_p) at their respective frequencies are connected as shown. The non-linear capacitance generates frequencies at harmonics of f_s and f_p (mf_s ± nf_p), where m and n are integers.

Figure 1 Equivalent circuit of Manley–Rowe derivation ...