Paperw8: If you look at power as a function of voltage and perform the power measurement AS A RATIO OF THE CORRESPONDING VOLTAGE LEVELS, then each halving of voltage level corresponds to a 6dB reduction in power levelYes, absolutely. But note that each halving of voltage ALSO corresponds to a 6dB reduction in voltage level.
the voltage level is halved at each 3dB incrementI haven't taken the time to follow the parts of the thread that may be behind that statement, but an increment that results in voltage being halved is not in fact a 3db increment, regardless of the wording that may be used to refer to it. It is a 6db increment.
db = 20log(V1/V2) = 10log(P1/P2)
20log(0.5) = -6.02
Best regards,
-- Al