Abstract

An analytical expression for the mode coupling coefficient in homogeneous trench-assisted multi-core fibers is derived, which has a simple relationship with the one in normal step-index structures. The amount of inter-core crosstalk reduction (in dB) with trench-assisted structures compared to the one with normal step-index structures can then be written by a simple expression. Comparison with numerical simulations confirms that the obtained analytical expression has very good accuracy for crosstalk estimation. The crosstalk properties in trench-assisted multi-core fibers, such as crosstalk dependence on core pitch and wavelength-dependent crosstalk, can be obtained by this simple analytical expression.

Highlights

  • Space-division multiplexing (SDM) is a promising candidate to overcome the capacity limit of single-mode fibers (SMFs) so as to sustain the rapid Internet traffic growth [1]

  • The main issue with high capacity multi-core fibers (MCFs) transmission is how we can increase the number of cores while keeping the inter-core crosstalk (XT) low to allow higher multi-level modulation formats and longer transmission distance since more dense cores normally increase the modes coupling among cores

  • In order to design MCFs with ultra-low XT for long distance and high capacity MCF transmission, it is important to understand the effects of these various fiber parameters on the XT reduction in trench-assisted multi-core fibers (TA-MCFs) based on an analytical expression

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Summary

Introduction

Space-division multiplexing (SDM) is a promising candidate to overcome the capacity limit of single-mode fibers (SMFs) so as to sustain the rapid Internet traffic growth [1]. The relationships between the XT and the fiber parameters, such as relative refractive index difference between trench and cladding, trench width in trench-assisted multi-core fibers (TA-MCFs), have not been formulated analytically, and the estimations of the XT in TA-MCFs in all the reported works so far [3, 8,9,10] have been done by numerical simulations and experimental measurements. We derive an analytical expression for the mode coupling coefficient in TAMCFs, where the amount of XT reduction (in dB) by trench-assisted structure relative to normal step-index structure is given by a simple expression.

Mode coupling coefficient formulations
Trench-assisted MCFs
Relating mode coupling coefficients to inter-core crosstalk
Comparison with numerical simulations
Prospect for further reduction of XT
Conclusion
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