Chromatic dispersion compensation using linearly chirped apodized fiber Bragg grating

In this paper, we have proposed an analytical model to compensate the chromatic dispersion in an optical transmission system using apodized fiber Bragg grating (FBG). Here we have presented an optimization process of the apodization strength factor of apodized FBG based dispersion compensation. It is demonstrated that a proper choice of the apodization strength factor results in minimum deviation of the dispersion from the required level and maximum reflection bandwidth. It is found that using a linear chirped hyperbolic tangent apodized FBG with apodization strength in the range of 0.7 - 0.8 can compensate dispersion up to 400ps.