Using semiclassical approach, we present numerical analysis of light generation in laser based on active,
two-dimensional Photonic Crystal. Analysis of electromagnetic wave propagation and generation in active photonic
structure is based on modified Real Space Transfer Matrix Method (RSTMM). As result we get output characteristics,
describing behavior of output power versus real parameters of photonic structure.
In this paper, we present a semi analytical, approximate model of relaxation oscillation of Nd<sup>3+</sup>: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.
In this paper, using semiclassical approach, we present a numerical simulation of light generation in one-dimensional (1D) photonic crystal laser based on SiO<sub>2</sub>:Er<sup>3+</sup> active medium with Fabry-Perrot (F-P) resonator. We use Transfer Matrix Method to study laser gain characteristics. Combination of TMM with semiclassical theory give us the lasers characteristics of small signal gain as a function of parameters: F-P mirrors reflectivity's, period of the photonic structure, geometry of the primitive cell as well as the number of the primitive cells creating the photonic crystal.
In this paper, we present an analysis of gain enhancement in 1D photonic crystals. In our theoretical model, for the first time, we take into account the gain saturation effect. The special algorithm is develoepd to obtain characteristic of gain enhancement with gain saturation effect. That algorithm allows to define in easy way the influence of the real structures parameters (for example photonic crystal primitive cell geometry) on the gain enhancement.