Fast Multi Step-Index Mode Solver for Analysis and Optimization of Optical Fiber Performance

We propose a competitive approach for analysis and optimization of optical fiber performance. Taking into account the standard fiber fabrication cycle, we develop a model of highly multistepped optical fiber. We introduce a fast and accurate algorithm which allows one to obtain propagation constants and transverse fields for systems with thousands of steps within seconds. The approach relies on both the exact analytical formulation of the corresponding eigenvalue problem and an original solving algorithm of linear complexity with respect to the number of steps. The model accurately represents arbitrary smooth profiles with azimuthal symmetry, which, together with low computation time, opens up ample opportunities for various optimization schemes. Obtained results are compared with those of other numerical and analytical methods.