I'm starting with the assumption that a higher frequency EM wave is more energetic than a lower frequency one and thus requires more energy (and thus more power) to transmit.
In my naive model of a transmitter, there's an oscillator circuit, an amplifier and an antenna. It doesn't seem to be the case that there's a proportional relationship between frequency and power in an oscillator circuit so am assuming that the extra power must be consumed by either the amplifier or antenna circuitry.
Is the power consumed by an oscillator circuit not proportional to the frequency of oscillation, ceteris paribus?
In what stage of the generation/transmission of higher frequency EM waves does the extra power get consumed ?
Assuming wide enough bandwidth in the amplifier + antenna for the frequencies under consideration (ie 3 dB point is far enough out or ideal no parasitic system), where does the extra power get consumed to justify conservation of energy and Einstein-Planck (E=hv)?