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We present a method for controlling the sign of the coupling term for individual links in arbitrary tight-binding lattices. The scheme employs defect insertion and eigenmode matching and is experimentally verified in photonic lattice implementations.
We study the behavior of the s-wave partial cross section σ(k), the Wigner–Smith time delay τ(k), and the trapping probability P(k) as function of the wave number k. The s-wave central square well is used for concreteness, simplicity, and to elucidate the controversy whether it shows true resonances. It is shown that, except for very sharp structures, the resonance part of the cross section, the trapping...
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