*** Posted by Rapier ***
Hi Chris,
I'm no expert on jet engine mechanics but the principle is quite simple. When extra fuel is mixed with the hot gases at the rear of the engine it is ignited and causes an extra power output because the gases are escaping more quickly and being burnt off. Once the afterburner kicks in and the gases are being exhausted more quickly, the engine in practically sucking more air into the air intake producing more thrust. I think the F-16 has 3 stages of re-heat so although it burns off fuel quite quickly, there is some level of fuel economy when flying.
Hope this helps!
Rapier