Prediction of First Higher Order Modal Field for Graded Index Fiber in Presence of Kerr Nonlinearity

Abstract

We report evaluation of first higher order modal field for dual mode optical fiber having step and parabolic index profiles. The study is carried out both in absence as well as in presence of Kerr nonlinearity. The analysis is based on a simple iterative method involving Chebyshev formalism. Taking some typical step- and parabolic-index fibers as examples, we show that our results agree excellently with the exact results which can be obtained by applying rigorous methods. Thus, our simple formalism stands the merit of being considered as an accurate alternative to the existing cumbersome methods. The prescribed formalism provides scope for accurate estimation of different propagation parameters associated with first higher order mode in such kinds of fibers in presence of Kerr nonlinearity. The execution of formalism being user friendly, it will be beneficial to the system engineers working in the field of optical technology.

A Straightforward Procedure for Predicting Splice Loss for the First Mode of Higher Order of a Parabolic Profile Fiber in the Presence of Third Order Nonlinearity

“…In this case, "nL(R) describes the RI profile in the absence of third order nonlinearity whereas nNL(R) denotes the radial distribution of the nonlinear Kerr coefficient". In case of third order nonlinearity, the following wave equation is satisfied by the LP11 modal field (Chakraborty et al, 2017;Mondal and Sarkar, 1996).…”

“…The field inside the cladding is defined asψ(R) ~ K 1 (WR), for R >1. The "fundamental modal field for the LP11 mode in parabolic profile fiber is given by" (Patra et al, 2008;Chakraborty et al, 2017).…”

“…Furthermore, when third-order nonlinearity exists, the LP11 modal field of GIF has been well approximated using the same methodology (Chakraborty et al, 2017). Accordingly, we are motivated enough to include the Chebyshev technique based modal field in order to compute SL of LP11 mode in Kerr category nonlinear parabolic profile fiber in the absence and presence of above kinds of mismatches.…”