Accurate analysis for reflection-peak bandwidths of sampled fiber Bragg gratings without chirp based on multiple-phase-shift technique

Dense comb-like reflective spectrum is available for a sampled fiber Bragg grating (SFBG) by using multiple-phase-shift (MPS) technique. The expressions for the reflection-peak bandwidths of a uniform SFBG based on MPS technique are derived through Fourier transform of the index modulation. The new expressions can be used to accurately calculate the reflection-peak bandwidths as taking the parameters into account, such as the duty cycle and the “AC” index change. The simulation spectrum based on the transfer matrix method agrees well with the theoretical analysis.