Analysis of fiber Bragg gratings apodized with linearly approximated segmented Gaussian function

Typical approaches in writing apodized fiber Bragg gratings (FBG) use approximated profiles such as Gaussian or raised cosine distributions. The typical approximation approaches are complicated to be implemented and affect the characteristics of the fiber Bragg gratings especially on the side lobes. In this paper, we report the study on the piecewise stepped approximated Gaussian apodization profile, a new approach proposed to relax the requirement for FBG fabrication setups. The results show no detrimental effects on the side lobes.