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Updated: May 31, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
Published on: March 20, 2017
Data transmission by hypergeometric modes through a hyperbolic-index medium
Bertúlio de Lima Bernardo1, Fernando Moraes
1Departamento de Física, CCEN, Universidade Federal da Paraíba, João Pessoa, PB, Brazil. bertulio@fisica.ufpb.br
Abstract:
We study the existence of a novel complete family of exact and orthogonal solutions of the paraxial wave equation. The complex amplitude of these beams is proportional to the confluent hypergeometric function, which we name hypergeometric modes of type-II (HyG-II). It is formally demonstrated that hyperbolic-index medium can generate and support the propagation of such a class of beams. Since these modes are eigenfunctions of the photon orbital angular momentum, we conclude that an optical fiber with hyperbolic-index profile could take advantage over other graded-index fibers by the capacity of data transmission.
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