Three-dimensional ab initio investigation of light-matter interaction in Mie lasers

We report on an ab initio investigation of light-matter interactions in a spherical Mie laser. We derive a three-dimensional vector set of Maxwell-Bloch (MB) equations and solve them by the finite-difference time-domain (FDTD) method. Parallel MB-FDTD simulations are employed to study the nonlinear behavior of these nanosized lasers with a varying geometry and different material parameters. The retrieved electromagnetic resonances are consistent with those expected from Mie theory. The lasing regime is characterized by a rich physical scenario, including mode competition and dynamical frequency pulling effects. Application of these dynamics could favor the realization of nonlinearly controlled highly tunable nanolaser devices.