Analytical Formulation of Supermodes in Multicore Fibers With Hexagonally Distributed Cores

The supermodes in 19-core multicore fibers (MCFs) with identical hexagonally distributed cores are analyzed in detail by using the coupled mode theory and matrix operation. The analytical formulations for both the propagation constants and modal distribution vectors of the supermodes are derived. Si...

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Bibliographic Details
Published in:IEEE photonics journal 2015-02, Vol.7 (1), p.1-11
Main Authors: Ren, Wenhua, Tan, Zhongwei, Ren, Guobin
Format: Article
Language:English
Subjects:
Equations
Matrix decomposition
Multi-core fibers
Optical fiber communication
Optical fiber couplers
Optical fiber sensors
Propagation constant
Sugar-modes
Vectors
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Summary:The supermodes in 19-core multicore fibers (MCFs) with identical hexagonally distributed cores are analyzed in detail by using the coupled mode theory and matrix operation. The analytical formulations for both the propagation constants and modal distribution vectors of the supermodes are derived. Simulation results show that the analytical results agree well with the numerical results. In addition, the features of the effective indices and modal distributions of the supermodes are discussed by using the analytical expressions combined with the applications. The analytical expressions provide a fast and accurate method to reveal the properties and characteristics of the supermodes for MCFs and are helpful for the design and applications of MCFs.
ISSN:1943-0655
1943-0647
DOI:10.1109/JPHOT.2015.2395993