At the end of most interviews the principal will say something like if you think of any other questions please feel free to email me, etc. Do most of you do that? Or just write a thank you note?
A thank you note is generally sufficient. You could always reiterate an important idea or conversation point from the interview, but I'm not sure how asking questions after the interview would be helpful...maybe putting a line in the thank you email saying if you could provide them with any additional information that could help them in making their decision.