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arXiv · 2101.07842

An Analytical Expression for the Effective Area of the Step-Index Single-Mode Optical Fiber

W. Astar
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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.

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W. Astar. 2021-01-19. An Analytical Expression for the Effective Area of the Step-Index Single-Mode Optical Fiber. https://arxiv.org/abs/2101.07842

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