Splice loss in dual mode triangular index fibers: an analytic approach in the presence of nonlinearity for various V numbers

Abstract

We report mathematical techniques for determining the coefficient of transmission at the splice, where anomalies like transverse and angular are present. The investigation involves the first mode of higher order (LP11) in Kerr pattern nonlinear fiber. In this case, the LP11 mode for the triangular index (TI) profile is calculated using a standard power series. Chebyshev formalism is the source of the aforementioned term. When there is third-order nonlinearity (TON), the iteration approach is utilized on the analytical mathematical terms to obtain the characteristics listed above. It has been demonstrated that our findings closely match the simulated exact outcomes obtained with the complex finite element method (FEM). Consequently, the suggested straightforward and precise technique offers enormous promise for investigating alternative propagation characteristics in dual-mode fibers.