Simulation model of accumulated programming in an optically thick spectral hole burning material

In this work, we present a model that describes the atomic reaction to a periodic excitation in a general case. Starting with a holeburning material, we aim at computing the steady state of the atoms of interest within the whole bulk material. This work is composed of three steps. In the first one, we generalize the optical Bloch equations to any atomic structure, keeping as long as possible the Bloch sphere picture that can provide good intuition and a better understanding of the atomic response than a huge set of equations.