An efficient inverse scattering algorithm for the design of nonuniform fiber Bragg gratings

This paper presents an efficient method for the design of complex fiber Bragg gratings, The method relies on the synthesis of the impulse response of the grating by means of a differential layer-peeling algorithm. The algorithm developed takes into account all the multiple reflections inside the grating, giving an exact solution to the inverse scattering problem. Its low algorithmic complexity enables the synthesis of long fiber gratings. The method is illustrated by designing several filters with interest for optical fiber communication systems: dispersionless bandpass filters and second- and third-order dispersion compensators.