How to say: after have waited or after waiting e.g. 4 hours ?

Question

I' like to know which one of these (or maybe there is another correct way to say it)is correct:

• after have waited ( e.g. 1 hour )
• after waiting ( e.g. 1 hour )

Answer 1

After waiting an hour is correct. The first one would be after having waited an hour.

But after an hour works and is shorter.

Answer 2

After waiting an hour is fine. After having waited an hour is unlikely, because after is unnecessary.