I'm not an engineer, but I watch them on uTube.... .. I've noticed that with some teck discussions, the words used can sometimes have slightly different meanings to some, and the the discussion descends to unpleasantness. So I'm not trying to start a flamefest.... ..
When I was first exposed to the Em sine ohmega tee stuff, Prof Wu took great pains to say that the carrier (output) of a ~properly~ modulated Am transmiter does not change with modulation. (My mentioning controlled carrier from a DX 60 didn't phase him.) On my part it took a bit to figure this out, but, he had the red pencil, and I drank the cool aid. The information and 1/2 of the power, is in the sidebands. As an example, for 100 watts of carrier, 25 watts of power is to be "added" to each sideband. Cut out one sideband, you have a 100 watt carrier and 25 watts in a side band. Cut out the carrier, you have a sideband with 25 watts.
I'm just a guy on the internet. But these guys have better 'creds' than I have, and the information may be of interest to some......http://literature.agilent.com/litweb/pdf/5954-9130.pdf
Page, 4 bottom right.
Also, Data for Radio Engineers, 2nd Ed. is a good read.http://www.tubebooks.org/Books/FTR_ref_data.pdf
IThis video from MIT is good. Check it out at around 25 minutes..