Rectification

Greetings mesdammes et messureses,

Say I'm using a regular jelly bean diode to rectify an AC waveform to
a light load. Everything's hunky dory at 50hz and the negative
portions of the wave are neatly removed. I up the frequency to say
1khz and all is still well.... and repeat. Eventually I will notice
that there's insufficient recovery time for the diode to function as
it formerly was. At still higher frequencies, the inherent capacitance
of the diode is leaving just a flat DC voltage with no longer any
peaks visible. If I keep going up and up in frequency, will this
situation continue indefinitely or will I eventually run into some
weird unexpected effects like negative resistance/parametric
amplification etc etc?

CD.

PS: Please don't suggest using a fast recovery diode as that's not
what the question is getting at. I'm not after a solution to a
problem, just an answer to this entirely theoretical quesition.