Nonlinear Interaction of the Solitons in 2-Core Optical Fiber Couplers

摘要

Formation of the bright and dark solitons in N-core of the optical coupler is the important problem for the creation of effective optical lines of the communication. This problem is connected to the finding of the solution of the nonlinear Schrodinger equation taking into account the interaction between the cores of the fiber. Basing on elementary mathematical model of N-core of the optical fiber coupler with the linear interaction between the next cores the conditions of formation of the solitons in 2 - core fiber coupler is investigated. For the certain type of the soliton solution the necessary and sufficient conditions of existence of the solitons are received. The parametrical space and the physical sense of the received conditions is defined. It is shown, that for the certain parameters of optical systems, the solitons spread with identical speed and width, but the amplitudes of the interacting solitons can be both one polarity, and opposite. The method based on solution of the system of the connected Schrodinger equations determines the necessary and sufficient conditions of the existence of solitons and it can be used for research of problems of formation and propagation of the bright (or dark) solitons in N- core optical couplers.