activity
20242026
collaborators

10 papers

math.AP2026

On the Robustness of Propagating Bound States in the Continuum

Lijun Yuan, Ya Yan Lu

Bound states in the continuum (BICs) are localized eigenmodes with their frequencies in the radiation continuum of scattering states. The existence of a BIC implies the loss of uni…

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…

physics.optics2026

An efficient numerical method for simulating two-dimensional non-periodic metasurfaces

Fuhao Liu, Ya Yan Lu

Metasurfaces are extremely useful for controlling and manipulating electromagnetic waves. Full-wave numerical simulation is highly desired for their design and optimization, but it…

math-ph2026

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…

physics.optics2025

Asymptotically circularly polarized bound states in the continuum

Nan Zhang, Ya Yan Lu

We study a class of bound states in the continuum (BICs) in all-dielectric periodic structures, near which resonant states approach ideal circularly polarized states (CPSs). We ter…

physics.optics2025

Parametric dependence of unidirectional guided resonances in periodic structures

Lijun Yuan, Ya Yan Lu

Unidirectional guided resonances (UGRs) in periodic structures are special resonant modes that exhibit strict one-sided radiation, even though radiation in both sides is allowed, o…