We analyze the effect of mode non-orthogonality on the mean output power of a circular grating distributed Bragg reflector (CG-DBR) laser with integrated outcoupler taking saturation effects fully into account. A stochastic approach based on the steady-state Fokker-Planck equation is used. Our theoretical model allows defining the influence of integrated outcoupler, characterized by the effective end-reflectivity on the mean output power.
We analyze dynamic operation of planar circular grating DFB/DBR laser with phase shift. In our theoretical model, we take into account the spatial hole burning effect, the transverse and longitudinal field distribution. It is found the proper value and position of additional phase shift affects the parameters of relaxation oscillations: damping rate coefficient and frequency, and the 3-dB modulation bandwidth. Moreover, for certain geometry of the structure the mode selectivity can be improved.
The influence of CG-DFB laser parameters on the statistical properties of generated light is analyzed. In our paper we concentrate on the effects resulting from the nonorthogonality properties of laser modes. The semi-classical approach based on stationary and time-dependent solution of the Fokker-Planck equation is used. Numerical results obtained for CG-DFB structure with external outcoupler reveal the behavior of statistical parameters of light such as the mean laser intensity, intensity fluctuations and the laser linewidth as the functions of the realistic parameters of considered device.
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