8 March 2014 Inverse scattering designs of dispersion-engineered single-mode planar waveguides
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We use an inverse-scattering (IS) approach to design single-mode waveguides with controlled linear and higher-order dispersion. The technique is based on a numerical solution to the Gelfand-Levitan-Marchenko integral equation, for the inversion of rational reflection coefficients with arbitrarily large number of leaky poles. We show that common features of dispersion-engineered waveguides such as trenches, rings and oscillations in the refractive index profile come naturally from the IS algorithm without any a priori assumptions. Increasing the leaky-pole number increases the dispersion map granularity and allows design of waveguides with identical low order and differing higher order dispersion coefficients.
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Alexander R. May, Alexander R. May, Francesco Poletti, Francesco Poletti, Michalis N. Zervas, Michalis N. Zervas, "Inverse scattering designs of dispersion-engineered single-mode planar waveguides", Proc. SPIE 8988, Integrated Optics: Devices, Materials, and Technologies XVIII, 89881S (8 March 2014); doi: 10.1117/12.2039220; https://doi.org/10.1117/12.2039220

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