Radial diversification of pump and signal intensities in EDFA comprising LP₀₁ mode dispersion compensation fibers in third order nonlinear condition

The article gives simple and reliable analytical expressions for estimating signal and pump intensity (SPI) variations with normalized radial distance (R) of an erbium-doped fiber amplifier (EDFA). We predict the aforementioned variations corresponding to both signal and pump with and without third-order nonlinearity (TON) using some dispersion compensation fibers (DCFs) in our study. The suggested formulation employs the implementation of iteration-based Chebyshev formulation for the LP₀₁ modal field of DCFs. In the absence and presence of TON, our observations align remarkably well with numerical results. The exact results were obtained using finite element method (FEM). It is worth noting that our suggested method involves very little calculation and the simplicity and correctness of our formalism will help designers in constructing an effective low-dispersion fiber optic link.