Abstract
In this paper, we present a semi analytical, approximate model of relaxation oscillation of Nd 3+ :YAG DBR (Distributed Bragg Reflector) laser with one dimensional photonic crystals (1D PC). In our theoretical model, we take into account the gain saturation effect, transversal and longitudinal field distribution. With the help of time dependent laser rate equations, we obtain an approximate formulas relating the damping rate and frequency of relaxation oscillations to the output power and laser parameters such as photonic crystal geometry, losses, and reflectivity coefficient of laser mirror. With this approximate formulas, we obtain the laser characteristics, which reveal an optimal feedback strength for DBR cavity laser structure.
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