Analytical approach to dielectric optical bent slab waveguides

K.R. Hiremath, Manfred Hammer, Remco Stoffer, L. Prkna, J. Ctyroky

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    Abstract

    A rigorous classical analytic frequency domain model of con?ned optical wave propagation along 2D bent slab waveguides and curved dielectric interfaces is investigated, based on a piecewise ansatz for bend mode profiles in terms of Bessel and Hankel functions. This approach provides a clear picture of the behaviour of bend modes, concerning their decay for large radial arguments or effects of varying bend radius. Fast and accurate routines are required to evaluate Bessel functions with large complex orders and large arguments. Our implementation enabled detailed studies of bent waveguide properties, including higher order bend modes and whispering gallery modes, their interference patterns, and issues related to bend mode normalization and orthogonality properties.
    Original languageUndefined
    Article number10.1007/s11082-005-1118-3
    Pages (from-to)37-61
    Number of pages25
    JournalOptical and quantum electronics
    Volume37
    Issue number1-3
    DOIs
    Publication statusPublished - Jan 2005

    Keywords

    • IR-65069
    • METIS-226001
    • EWI-13935
    • whispering gallery modes
    • eigenmode solver
    • Bent waveguides
    • Bessel functions

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