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Topology optimization in nonlinear nanophotonics: from frequency conversion to exceptional points

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Abstract

We apply a large-scale inverse design strategy based on topology optimization (TO) toward the automatic discovery of complex nanophotonic structures—new kinds of micropillars, photonic-cyrstal slabs, and waveguides comprising complicated arrangements of subwavelength dielectrics—exhibiting unusual nonlinear and spectral properties. The structures support multiple, tightly confined resonances at far-away wavelengths and exhibit the largest nonlinear confinement factors predicted thus far (oders of magnitude larger than state-of-the-art ring resonators or PhC cavities), leading to highly efficient nonlinear frequency conversion (NFC). The same TO approach can be exploited to design PhCs supporting dual-polarization, dual-wavelength, or highly degenerate Dirac cones, with implications to zero-index metamaterials, topological photonics, and exceptional points (EP).

© 2017 Optical Society of America

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