I just spent the last hour looking through Stargate episodes to find a specific scene. There was one moment in the entire series in which we got to see what the inside of the transportation rings look like during their operation. It was amazing and I still remembered it and I just had to see it again just now.
So, after a little searching, I found it. 'Season 5, Episode 1: Enemies', @14:44. Still sweet. Totally worth it.