A continuous model for mode mixing in graded-index multimode fibres with random imperfections

Emmanuel Perrey-Debain, I. David Abrahams, John D. Love

    Research output: Contribution to journalArticlepeer-review


    This article investigates the evolution of the distribution of propagating modes in a graded-index multimode fibre with random imperfections. These perturbations may be microscopic random bends and ellipticity, or an index of refraction fluctuations, introduced during manufacture. For large-diameter fibres (with respect to a typical electromagnetic wavelength), the number of guided modes becomes large, and so we can regard the discrete set as a continuum in which the mode number is treated as a continuous variable. The theory is applied to the propagation of guided optical modes in round fibres with a parabolic refractive index profile. This continuous model offers the great advantage of elucidating the relevant physical parameters that participate in the mode mixing dynamics, and leads to a numerically tractable problem. Numerical results are presented for the specific problem of random micro-bends, demonstrating that the theoretically predicted behaviour is achieved. © 2008 The Royal Society.
    Original languageEnglish
    Pages (from-to)987-1007
    Number of pages20
    JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Issue number2092
    Publication statusPublished - 8 Apr 2008


    • Diffusion equation
    • Master equations
    • Optical fibre
    • Random waveguide


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