An Analytical Expression for the Effective Area of the Step-Index Single-Mode Optical Fiber
Abstract
The nonlinear coefficient {\gamma} of the step-index single-mode fiber (SMF) is inversely proportional to the effective area of that fiber. An analytical expression for the effective area of the hybrid HE11-mode of the SMF is derived for the first time, using its exact electromagnetic field expressions. The effective area is found in terms of generalized hypergeometric functions. A simpler expression is also deduced under the weakly-guided fiber approximation, and is found to be in agreement with established theory.
Keywords
Cite
@article{arxiv.2101.07842,
title = {An Analytical Expression for the Effective Area of the Step-Index Single-Mode Optical Fiber},
author = {W. Astar},
journal= {arXiv preprint arXiv:2101.07842},
year = {2023}
}
Comments
Author has decided to withdraw this paper due to a significant error in section 4.3, which is concerned with the derivation of a propagation equation for the optical fiber. The error has no effect on the derivation of the effective area itself, however, and the derived expressions do indeed reduce to those already published by others, within a constant