The Influence Of Higher-order Perturbation On Propagation Properties Of Fundamental Black Soliton Pulse In Optical Fibers

Optical soliton communication is a kind of brand-new technology of nonlinear communication and a new generation of communication style. In this paper, we firstly summarized the current station of development and research about optical soliton communication, then introduced the basic theory of optical soliton transmission and the theory of perturbation about the transmit equations of the optical soliton in detail. As followed, we began with nonlinear equation (MNLSE) which describe the transmit of optical soliton, using the method of variation principle, to deduce the evolution equations and its analytic resolutions for the parameters (amplitude v, frequency band widthη, frequencyμ, center positionξ, phase of black soliton pulsesδ) of the fundamental black soliton pulse in the situations of without perturbation, small dielectric loss, hither-order dispersion, and the fifth-order nonlinear when distance change. Based on the conclusions, we discussed the evolution peculiarity of the parameters with change of distance as perturbations have effect on the black soliton.The conclusions are as follows:(1) The small dielectric loss only affects the phase to distance, which led to the decrease of power of soliton pulses.(2) The higher-order dispersion widens the width of fundamental black soliton pulse compared to the situation without the higher-order dispersion, but the amplitude, frequency band width and frequency have no change to distance.(3) The higher-order nonlinear compresses the width of fundamental black soliton pulse compared to the situation without the higher-order nonlinear, but the amplitude, frequency band width and frequency have no change to distance.From these conclusions, we can see that the amplitude, frequency band width and frequency have no change to distance with the effect of higher-order perturbations on the fundamental black solion, so it can transmit in the optical fibers maintaining the initial shape which is different from the situation of bright soliton. The latter's parameters, such as amplitude, frequency band width and frequency, change to distance. To this point, the fundamental black solion has better stability and stronger anti-jamming ability than bright soliton in the process of transmission.