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Supersymmetric (SUSY) design is an intuitive procedure for the inverse design of structures from known spectral features. We design one-dimensional corrugated waveguides using SUSY for the desired spectral response. Due to the finite length of the grating, inserted states have a finite lifetime. We obtain a bound state in the continuum by the interference of two states at the same frequency decaying in the same waveguide. The transmission coefficient has no imaginary part at the BIC point, leading to an infinite lifetime. For a finite structure, the phase changes abruptly by 2pi without changing the density of states.
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Nitish Chandra, Natalia M. Litchinitser, "Inverse design of bound states in the continuum in one dimension using supersymmetry," Proc. SPIE 11695, High Contrast Metastructures X, 1169517 (5 March 2021); https://doi.org/10.1117/12.2578100