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Dispersion properties of slab waveguides with a linear graded-index film and a nonlinear substrate

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Abstract

Three-layer slab waveguide with a graded-index film and a nonlinear substrate is investigated. The nonlinear substrate is considered of Kerr-type and the film index is assumed to change linearly as we move from the film-clad to the film-substrate interfaces. The solutions of the fields in the guiding film contains Airy functions which can be written as Bessel functions of order 1/3. The dispersion relation is derived in terms of three well-known normalized parameters V, a and b and the dispersion properties are plotted and studied. Many interesting features are obtained such as the nonexistence of cut-off thickness due to the nonlinear substrate and the value of the normalized guide index does not exceed unity which means they correspond to guided modes.

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Authors and Affiliations

  1. Physics Department, Islamic University of Gaza, Gaza, Palestine

    Aya J. Hussein, Zaher M. Nassar & Sofyan A. Taya

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  1. Aya J. Hussein
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  2. Zaher M. Nassar
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  3. Sofyan A. Taya
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Correspondence to Sofyan A. Taya.

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Hussein, A.J., Nassar, Z.M. & Taya, S.A. Dispersion properties of slab waveguides with a linear graded-index film and a nonlinear substrate. Microsyst Technol 27, 2589–2594 (2021). https://doi.org/10.1007/s00542-020-05016-z

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  • DOI: https://doi.org/10.1007/s00542-020-05016-z

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