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Dispersion in optical waveguides with graded refractive index

Dispersion in optical waveguides with graded refractive index

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Dispersion in graded-index optical fibres can be calculated by ray-optical or wave-optical methods. This letter reports a seeming discrepancy between the results of both methods: in a fibre with a refractive profile that has been optimised by the WKB wave-optical method, helical rays may occur with a much larger transit-time spread than the modes computed with the WKB method. The question is what transit-time spread is relevant for the bandwidth of the fibre.

References

    1. 1)
      • D. Gloge , E.A.J. Marcatili . Multimode theory of graded-core fibers. Bell Syst. Tech. J. , 1563 - 1578
    2. 2)
      • S. Kawakami , J. Nishizawa . An optical waveguide with the optimum distribution of the refractive index with reference to waveform distortion. IEEE Trans. , 814 - 818
    3. 3)
      • E.G. Rawson . Analysis of refractive index distributions in cylindrical graded-index glass rods used as image relays. Appl. Opt. , 753 - 759
    4. 4)
      • C.C. Timmermann . The influence of deviations from the square-law refractive index profile of gradient core fibers on mode dispersion. Arch. Elektron. & Ubertragungstech. , 344 - 346
    5. 5)
      • GLOGE, D.: Private communication.
    6. 6)
      • A.W. Snyder , D.J. Mitchell . Leaky rays cause failure of geometric optics on optical fibres. Electron. Lett. , 437 - 438
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