19 August 1996 Laguerre-Gauss approximation for the transverse field of single-mode optical fibers
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A set of orthonormal functions is used to expand the field of the fundamental mode of a weakly-guiding optical fiber. The parameters of the expansion are evaluated by minimizing the norm of the difference between the actual field within the fiber and the approximating one. The simple elementary form of the functions involved into the expansion allows an easy evaluation of parameters which need to correctly design an optical fiber based transmission system. For fibers with both triangular and parabolic refractive index profile, a satisfactory field approximation is obtained by retaining only a few terms into the expansion. In particular, by using only the first three even order terms, the accuracy is greater than that of the classical gaussian field approximation and is comparable with the accuracy of other approximations based on more complicate functions.
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Gaetano Panariello, Gaetano Panariello, M. Gonnella, M. Gonnella, Antonio Scaglione, Antonio Scaglione, "Laguerre-Gauss approximation for the transverse field of single-mode optical fibers", Proc. SPIE 2775, Specification, Production, and Testing of Optical Components and Systems, (19 August 1996); doi: 10.1117/12.246770; https://doi.org/10.1117/12.246770

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