The error analysis of the discrete layer peeping algorithm for fiber Bragg grating synthesis

The discrete layer peeping (DLP) algorithm has been widely used to synthesize the fiber Bragg grating for the inverse scattering problem. The synthesis is useful both as a design tool and for characterization of already fabricated gratings with complex profiles. In the paper, the error sources of the discrete layer peeping algorithm, including the resolution, and the bandwidth, are analyzed. We choice different resolution and different bandwidth to calculate the reflection spectrum of fiber Bragg gratings with different length of the fiber Bragg grating, separately. We find that the synthesized reflectivity can all be synthesized when the resolution is different, but the length of the fiber Bragg grating required to synthesize the reflectivity is longer as the resolution increases. For one target reflection spectrum, we also find that the length of the fiber Bragg grating required to calculate the reflectivity with different bandwidth is almost same, and a deviation between the target reflection spectrum and the calculated reflectivity decreases as the resolution increases. The resolution and bandwidth required for a certain level of accuracy will depend in general on the bandwidth and the fine structure of the initial target reflection spectrum. © 2010 Copyright SPIE - The International Society for Optical Engineering.