Looking for a rectifier made up from an inductor instead of a capacitor, I came to this question.

THe circuits on the figure are dual each other, in the Thevenin Norton sense, with capacitor voltage and inductor current, the results are the same.

After adding an Ideal Diode, I am unable to find some close analogy of that dual. Considering an Ideal Diode is only a switching device, though non linear, I could assume that dual could exist. Anybody have a good estimate on how to find that dual?