Abstract
In this paper, for the first time we present semi analytical, approximate model of dynamic operation of one dimensional photonic crystal Nd<sup>3+</sup>:YAG laser. In our theoretical model, we take into account the gain saturation effect 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 and modulation bandwidth to the output power and laser parameters such as photonic crystal geometry, losses, and value of reflection coefficient of laser mirror. With this approximate formulas, we obtain the 1D photonic crystal laser characteristics, which reveal an optimal feedback strength for F-P cavity laser structure. With the help of this model it is possible to defined optimal geometry of the laser structures, which provides maximal modulation bandwidth for given pumping level (characterized by small signal gain).
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