Cavity light bullets in a dispersive Kerr medium

We demonstrate the existence of three-dimensional localized structures, known as cavity light bullets, that circulate in a driven cavity filled with a self-focusing dispersive medium. Though unstable, we show through a linear stability analysis how a multiphoton absorption can stabilize these structures. Bullets may be written and erased from the cavity at controlled positions, allowing them to act as elements in three-dimensional pixel arrays. We illustrate the process of writing and erasing bullets in the cavity through dynamic numerical simulations.