The pop-up maneuver's goal is to minimize exposure to enemy fire. Imagine that you're flying an F-16 over enemy territory and that you want to hit a nuclear power-plant with a couple of JDAM's. Since the target is certainly protected by lots of AAA and SAM's, you want to drop the bombs as far away as possible from the target. In other words, you definitely do not want to fly over the target, as that will most likely get you shot down.
You can use the pop-up maneuver then. You fly low and fast to avoid radar detection and AAA fire. When you get close to the target you climb at 45 degrees, roll 180 degrees (you are now flying inverted), prepare the JDAM's to be deployed. You then pitch up and when you are at the top of a parabolic flight path, you release the JDAM's. The inertia build-up during the ascent will make the bombs go faster and farther. Once the bombs are deployed, you fly low again.
There are some technical papers on this. It's heavy math: optimizing flight paths is not exactly a trivial problem ;-)
Anyway. In this book, which is written by an ex-pilot, a maneuver is described which sounds very similar to the pop-up. The aircraft also approaches the target at low altitude, then pitches up. As the pilots pull up on the stick they release their bombs, but continue climbing up and away. The bombs (old fashioned, dumb bombs) would then fly in a parabolic trajectory like you'd expect and land somewhere near the target ;)
If I remember correctly this tactic was actually used in combat with surprisingly effective results. I say surprising because nobody believed you could actually hit a target with a bomb that flies in a trajectory with a horizontal length of a few 100 to 1000 meters and was released on the pilot's 'gut' feeling...
You can use the pop-up maneuver then. You fly low and fast to avoid radar detection and AAA fire. When you get close to the target you climb at 45 degrees, roll 180 degrees (you are now flying inverted), prepare the JDAM's to be deployed. You then pitch up and when you are at the top of a parabolic flight path, you release the JDAM's. The inertia build-up during the ascent will make the bombs go faster and farther. Once the bombs are deployed, you fly low again.
There are some technical papers on this. It's heavy math: optimizing flight paths is not exactly a trivial problem ;-)