activity
20172026
most citedBound States in the Continuum on Periodic Structures: Perturbation Theory and Robustness

57 citations · 299 across the 18 of their papers we have counts for

collaborators

18 papers

physics.optics2026

Structural perturbation theory for bound states in the continuum via bifurcation of zeros and extrema of the dispersion relation

Lijun Yuan, Ya Yan Lu

In a lossless periodic structure, a bound state in the continuum (BIC) corresponds to a real zero and a local maximum of the imaginary part of a complex dispersion relation $k = k(…

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…

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…

physics.optics2022★ 11 cited

Parametric dependence of bound states in the continuum: a general theory

Amgad Abdrabou, Lijun Yuan, Wangtao Lu +1

Photonic structures with high- resonances are essential for many practical applications, and they can be relatively easily realized by modifying ideal structures with bound stat…

physics.optics2022★ 6 cited

Real transmission and reflection zeros of periodic structures with a bound state in the continuum

Lijun Yuan, Mingyang Zhang, Ya Yan Lu

For lossless periodic structures with a proper symmetry, the transmission and reflection spectra often have peaks and dips that are truly and , respectively. The full…

physics.optics2022★ 10 cited

Approximating transmission and reflection spectra near isolated nondegenerate resonances

Hongyao Wu, Lijun Yuan, Ya Yan Lu

A linear scattering problem for which incoming and outgoing waves are restricted to a finite number of radiation channels can be precisely described by a frequency-dependent scatte…

physics.optics2021★ 7 cited

Resonant field enhancement in lossy periodic structures supporting complex bound states in the continuum

Ling Tan, Lijun Yuan, Ya Yan Lu

Resonant modes in a lossy periodic structure sandwiched between two lossless homogeneous media form bands that depend on the Bloch wavevector continuously and have a complex freque…

physics.optics2021★ 13 cited

Parametric dependence of bound states in the continuum in periodic structures: vectorial cases

Lijun Yuan, Ya Yan Lu

A periodic structure sandwiched between two homogeneous media can support bound states in the continuum (BICs) that are valuable for many applications. It is known that generic BIC…

physics.optics2020★ 10 cited

On the robustness of bound states in the continuum in waveguides with lateral leakage channels

Lijun Yuan, Ya Yan Lu

Bound states in the continuum (BICs) are trapped or guided modes with frequencies in radiation continua. They are associated with high-quality-factor resonances that give rise to s…

physics.optics2020★ 13 cited

Parametric Dependence of Bound States in the Continuum on Periodic Structures

Lijun Yuan, Ya Yan Lu

Bound states in the continuum (BICs) have some unusual properties and important applications in photonics. A periodic structure sandwiched between two homogeneous media is the most…

physics.optics2020★ 17 cited

Conditional robustness of propagating bound states in the continuum on biperiodic structures

Lijun Yuan, Ya Yan Lu

For a periodic structure sandwiched between two homogeneous media, a bound state in the continuum (BIC) is a guided Bloch mode with a frequency in the radiation continuum. Optical…

physics.optics2019★ 19 cited

Resonant field enhancement near bound states in the continuum on periodic structures

Zhen Hu, Lijun Yuan, Ya Yan Lu

On periodic structures sandwiched between two homogeneous media, a bound state in the continuum (BIC) is a guided Bloch mode with a frequency within the radiation continuum. BICs a…

physics.optics2019★ 31 cited

Perturbation theories for symmetry-protected bound states in the continuum on two-dimensional periodic structures

Lijun Yuan, Ya Yan Lu

On dielectric periodic structures with a reflection symmetry in a periodic direction, there can be antisymmetric standing waves (ASWs) that are symmetry-protected bound states in t…

physics.optics2019★ 16 cited

Bound states with complex frequencies near the continuum on lossy periodic structures

Zhen Hu, Lijun Yuan, Ya Yan Lu

On a lossless periodic dielectric structure sandwiched between two homogeneous media, bound states in the continuum (BICs) with real frequencies and real Bloch wavevectors may exis…

physics.optics2019★ 25 cited

Unidirectional Reflectionless Transmission for Two-Dimensional -symmetric Periodic Structures

Lijun Yuan, Ya Yan Lu

Unidirectional reflectionless propagation (or transmission) is an interesting wave phenomenon observed in many -symmetric optical structures. Theoretical studies on u…

nlin.PS2019★ 16 cited

Excitation of bound states in the continuum via second harmonic generations

Lijun Yuan, Ya Yan Lu

A bound state in the continuum (BIC) on a periodic structure sandwiched between two homogeneous media is a guided mode with a frequency and a wavenumber such that propagating plane…

physics.optics2018★ 48 cited

Bound states in the continuum on periodic structures surrounded by strong resonances

Lijun Yuan, Ya Yan Lu

Bound states in the continuum (BICs) are trapped or guided modes with their frequencies in the frequency intervals of the radiation modes. On periodic structures, a BIC is surround…

physics.optics2017★ 57 cited

Bound States in the Continuum on Periodic Structures: Perturbation Theory and Robustness

Lijun Yuan, Ya Yan Lu

On periodic structures, a bound state in the continuum (BIC) is a standing or propagating Bloch wave with a frequency in the radiation continuum. Some BICs (e.g., antisymmetric sta…