57 citations · 186 across the 17 of their papers we have counts for
19 papers
Fourier modal method for perturbation analysis of bound states in the continuum
Nan Zhang, Ya Yan Lu
Bound states in the continuum (BICs) supported by periodic photonic structures are surrounded by high- resonances and serve as centers of polarization vortices in momentum space…
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(…
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…
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…
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…
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…
Perturbation theory for resonant states near a bound state in the continuum
Nan Zhang, Ya Yan Lu
In this work, we develop a perturbation theory to analyze resonant states near a bound state in the continuum (BIC) in photonic crystal slabs. The theory allows us to rigorously de…
An efficient method for calculating resonant modes in biperiodic photonic structures
Nan Zhang, Ya Yan Lu
Many photonic devices, such as photonic crystal slabs, cross gratings, and periodic metasurfaces, are biperiodic structures with two independent periodic directions, and are sandwi…
Computing diffraction anomalies as nonlinear eigenvalue problems
Zitao Mai, Ya Yan Lu
When a plane electromagnetic wave impinges upon a diffraction grating or other periodic structures, reflected and transmitted waves propagate away from the structure in different r…
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…
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…
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…
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…
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…
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…
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…
A numerical mode matching method for wave scattering in a layered medium with a stratified inhomogeneity
Wangtao Lu, Ya Yan Lu, Dawei Song
Numerical mode matching (NMM) methods are widely used for analyzing wave propagation and scattering in structures that are piece-wise uniform along one spatial direction. For open…
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…
Perfectly-matched-layer boundary integral equation method for wave scattering in a layered medium
Wangtao Lu, Ya Yan Lu, Jianliang Qian
For scattering problems of time-harmonic waves, the boundary integral equation (BIE) methods are highly competitive, since they are formulated on lower-dimension boundaries or inte…