Numerical Method for Coupled Nonlinear Schrödinger Equations in Few-Mode Fiber

This paper discusses novel approaches to the numerical integration of coupled nonlinear Schrödinger equations system for few-mode wave propagation. The propagation assumes up nine modes light in an optical fiber. In this case, is described by non-linear equation system, where each mode own with other modes’ interactions. (CNSES) solving becomes increasingly complex, because affects modes. suggested solution based on direct approach, which a finite-difference scheme. well-known explicit scheme approach fails due non-stability computing Owing this, here we use combined explicit/implicit scheme, implicit Crank–Nicolson It ensures stability Moreover, allows separating whole independent at step. Additionally, algorithm refining step and method automatic selection are used. has higher performance (resolution)—up three times or more comparison split-step Fourier method—since there no need produce inverse transforms key advantage developed calculation any number propagated