  The event horizon of black holes and white holes can be achieved in the
context of analogue gravity. It was proven for a sonic case that if these two
horizons are close to each other their dynamics resemble a laser, a black hole
laser, where the analogue of Hawking radiation is trapped and amplified.
Optical analogues are also very successful and a similar system can be achieved
there. In this work we develop the theory of optical black hole lasers and
prove that the amplification is also possible. Then, we study the optical
system by determining the forward propagation of modes, obtaining an
approximation for the phase difference which governs the amplification, and
performing numerical simulations of the pulse propagation of our system.
