Transmission Of Solitons In Gaussion-apodized Fiber Bragg Gratings

Structure dispersion is primary and material dispersion and wave-guide dispersion can be neglected when frequency of input optical pulse is close to Bragg frequency in fiber Bragg Gratings. In the anomalous dispersion regime of fiber gratings, optical pulse can come into being bright solitons by a careful control of SPM,XPM and GVD, in the normal dispersion regime of fiber gratings can allowed transmission of dark solitons.In this paper, The finite difference method and the FFT method is used in the anomalous dispersion regime and normal dispersion regime of Gaussian-apodized fiber gratings respectively to numerical simulation of optical solitons, as well as the evolution of the interaction between the solitons, based on the coupled mode theory. Firstly, the effective nonlinear Schrodinger equation is derivated from the coupled mode function using multiple scales theory. Secondly, with the framework of the coupled modes theory, transmission of the Bragg solitons and interaction of the Bragg solitons are simulated with the finite-difference scheme in the normal dispersion regime of Gaussion-apodized fiber Bragg gratings. Thirdly, Transmission of the dark solitons and interaction of the dark solitons are simulated with the split step Fourier method in the normal dispersion regime of Gaussion-apodized fiber Bragg gratings. Lastly, the works done by author were concluded.