Dynamic operation of photonic crystal planar waveguide DFB and F-P lasers

In this paper, for the first time we present an analysis of the dynamic operation of the F-P and DFB lasers based on photonic crystal structure. In our theoretical model, we take into account the gain saturation effect, transverse and longitudinal field distribution. With the help of time dependent laser rate equations, we obtain an approximate formula relating the damping rate and frequency of relaxation oscillations and modulation bandwidth to the output power and laser parameters such as parasitic losses in the active medium and photonic crystal cell geometry. With the help of this relation, laser characteristic showing an optimal reflection for F-P laser and optimal coupling strength for DFB laser, which provide maximal power efficiency for a given laser structure, are obtained. We shown that relaxation oscillations parameters and 3 dB modulation bandwidth strongly depend on values of photonic crystal parameters. We believe that our model of dynamic operation can be useful tool for modeling such laser structures.