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Cutoff frequencies in optical fibres with central refractive-index depression

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Abstract

Exact analytical solutions are given for modal cutoff frequencies in round optical fibres with a central refractive-index depression represented by a radial index distribution Rp in the core. The cutoff frequencies Vc for modes with azimuthal order m are the solutions of Jq−1(2Vc/{2+p})=0, where q = 2m/(2 + p). An accurate analytical approximation formula for the cutoff of the LP11 mode is developed, which even circumvents the calculation of real-order Bessel function zeros. For the LP02 mode, as well as for all other circularly symmetric modes, the exact cutoff frequency is merely a linear function of the profile parameter p.

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  1. Arbeitsbereich Optik und Meßtechnik, Technische Universita¨t Hamburg-Harburg, Eißendorfer Straße 40, 21073, Hamburg, Germany

    H. Renner

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  1. H. Renner
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Renner, H. Cutoff frequencies in optical fibres with central refractive-index depression. Optical and Quantum Electronics 29, 591–604 (1997). https://doi.org/10.1023/A:1018528222149

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