Externally excited oscillating laser bullet

We study the dynamics of a three-dimensional laser bullet propagating: insi de a nonlinear saturable medium. We show that an increase of the pump param eter destabilizes the bullet and leads to its destruction through oscillati ons with increasing amplitude. We propose an inhomogeneous and anisotropic external excitation mechanism leading to a stable oscillating bullet. By va rying the frequency of the external excitation, a stable quasi-in-phase or quasi-antiphase internal state can be reached.