Mathematical approximations for the amplitude of the fundamental mode field (LP01) of a dispersion shifted fiber at six wavelengths

Louis Lamarche

doi:10.1117/12.837008

4 August 2009 Mathematical approximations for the amplitude of the fundamental mode field (LP₀₁) of a dispersion shifted fiber at six wavelengths

Louis Lamarche

Author Affiliations +

Proceedings Volume 7386, Photonics North 2009; 73862C (2009) https://doi.org/10.1117/12.837008
Event: Photonics North 2009, 2009, Quebec, Canada

Abstract

Hydro-Quebec optical network includes more than 5,000 km of optical ground wires [1] (OPGW) using dispersion shifted fibers (SMF-DS^TM) [2]-[3]. This paper provides a model of the index profile for a typical reference fiber and the mathematical approximations of the amplitude of the LP₀₁ mode at six important wavelengths (1.31, 1.41, 1.45, 1.48, 1.55, 1.625 μm). The fiber model has a triangular core and a quadratic ring shape. The weakly guided mode is obtained using the variational principle [4] implemented using an algorithm based on a Laguerre-Gauss-Bessel approximation of the field [5]. We modeled the wavelength dependence of the index of refraction of germanium doped silica using an experimental formula [6]. A comprehensive algorithm was developed to compute the normalized damping factor W and the normalized propagation constant U in the variational algorithm. The mode field diameter, group velocity and chromatic dispersion were also computed at the above wavelengths.

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Louis Lamarche "Mathematical approximations for the amplitude of the fundamental mode field (LP₀₁) of a dispersion shifted fiber at six wavelengths", Proc. SPIE 7386, Photonics North 2009, 73862C (4 August 2009); https://doi.org/10.1117/12.837008

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