An Amplify Shield is essentially the opposite of a Roid Shield. When filled, they add a bonus amount of Amp Damage to the next shot (called an Amp Shot) fired from any projectile weapon, at a cost of a certain amount of shield damage (the shield's Amp Shot Drain). They are thus well suited to longer-ranged character builds where they can be allowed to recharge between shots and there is little risk of taking damage.
As rarity increases, the amp damage increase, while shield recharge delay and amp shot drain decrease.
The Bee – Legendary amp shield with low capacity, high amp damage and zero amp drain. Increased recharge rate and recharge delay.
Borderlands: The Pre-Sequel
Rerouter – Legendary amp shield with high amp damage, high amp drain, and heals for an equal amount of amp damage when an amp shot is fired.
As of November 14th, 2012, Gearbox released Patch 1.2.0 for Borderlands 2 which added a balance that caused Amp Damage to be divided evenly among multiple projectiles rather than added to each, and added a bug fix so Amp Damage no longer applies to every round remaining in a thrown Tediore weapon, significantly reducing this shield type's former effectiveness for close-range character builds. Splash damage from explosions caused by a weapon's projectiles do receive the full amp bonus though, regardless of how many projectiles are fired, and guns that fire multiple unlisted projectiles (Unkempt Harold, Sand Hawk) or extra shotgun pellets added by accessories will have full amp damage bonus from amp shields.
The common amplify shields is obtained randomly from any suitable loot source.
The amp damage is added to the weapon's base damage and adapt its existing element. This provides an advantage on elemental weapons against enemies weak to that specific element, and weapons with high critical hit damage over enemies that have vulnerable critical hit locations.