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A variational method to approximate the field of weakly guiding optical fibers by Laguerre-Gauss/Bessel expansion

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3 Author(s)
G. De Angelis ; Dept. of Inf. Eng. & Electr. Eng., Salerno Univ., Italy ; G. Panariello ; A. Scaglione

In the analysis of weakly guiding single-mode optical fibers, Gaussian and modified-Gaussian approximations appear inadequate to obtain accurate results at low normalized frequency for general refractive index profiles. To overcome such limitations we propose an expansion in terms of Laguerre-Gauss functions to represent the field in the fiber core. A modified Bessel function is instead used to describe the field in the cladding. All parameters defining the approximate field are evaluated by a variational method. We show that the proposed approximation is very accurate in the low normalized frequency limit too and can be particularly valuable to analyze dispersion-shifted fibers with triangular refractive index profile

Published in:

Journal of Lightwave Technology  (Volume:17 ,  Issue: 12 )