This trophy is an in-game Skill Point.

After completing the Presidential Compound defense mission with the Galactic Rangers, you'll visit a new area - the city's Control Center -  that introduces you to the Refractor. In this area there are several laser locks that you will use the Refractor to open. Stand in one of the Red lasers with the Refractor equipped, then hold  to aim the refracted laser at an enemy, or hold down the Strafe button () and move the camera () to aim. The smaller blue lasers won't reflect, so you must use a Red laser.

Defeat the enemies in each room with the Refractor before activating the next lock. When activating the lock, try aiming from a position that is not dead center, to allow more room for you to stand in the previous Red laser, as enemies always wait for you behind the next door.

Remember to achieve the kill with the Refractor, as enemies blindly walking into the existing lasers don't count!

Once 25 enemies have been zapped with the Refractor the trophy will unlock. You can find a lot of one-eyed Tyhrannoids towards the end rooms, near the Titanium Bolts that require the Gravity Boots to obtain, so the trophy will most likely unlock here.