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math-ph2026
Local Robustness of Bound States in the Continuum through Scattering-Matrix Eigenvector Continuation
Ya Yan Lu, Jiaxin Zhou
We consider the diffraction of time-harmonic plane waves by a periodic structure, governed by the Helmholtz equation. Bound states in the continuum (BICs) are quasi-periodic fields…
math-ph2025
Existence of Friedrich-Wintgen Bound States in the Continuum: Cavity with a Thin Waveguide Opening
Jiaxin Zhou, Wangtao Lu, Ya Yan Lu
Bound states in the continuum (BICs) are localized states embedded within a continuum of propagating waves. Perturbations that disrupt BICs typically induce ultra-strong resonances…