Re: frecuency multipliers
Another method, that is broadband, is the simple Wein Bridge, (the same ring diode circuit used as rectifier).
As for mains frequency (50 Hz) the output is a rectified, pulsating 100 Hz, so it works at higher frequency.
A series capacitor is needed.
As a rule of thumb, on the µwave region, a doubler (rectifier) shoul'd be driven with + 10 dBm and it loose 13 dB.
Of course the Phase Noise of a doubler increase much times more than 20 log(N).
The Output Phase Noise is ≥ Input Phase Noise + 20 log (2) + Loss + NF (of the Ampli often required).