48 citations · 229 across the 20 of their papers we have counts for
21 papers
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…
Super Bound States in the Continuum: Analytic Framework, Parametric Dependence, and Fast Direct Computation
Nan Zhang, Ya Yan Lu
In periodic structures such as photonic crystal (PhC) slabs, a bound state in the continuum (BIC) is always surrounded by resonant states with their -factor following $Q\sim 1/|…
Existence of Friedrich-Wintgen bound states in the continuum: system of Schrödinger equations
Xiuchen Yu, Ya Yan Lu
A bound state in the continuum (BIC) is an eigenmode with the corresponding eigenvalue embedded in the continuous spectrum. There is currently a significant research interest on BI…
Relationship between total reflection and Fabry-Perot bound states in the continuum
Zitao Mai, Ya Yan Lu
Bound states in the continuum (BICs) have interesting properties and important applications in photonics. A particular class of BICs are found in Fabry-Perot (FP) cavities formed b…
Non-generic bound states in the continuum in waveguides with lateral leakage channels
Nan Zhang, Ya Yan Lu
For optical waveguides with a layered background which itself is a slab waveguide, a guided mode is a bound state in the continuum (BIC), if it coexists with slab modes propagating…
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…
Frequency perturbation theory of bound states in the continuum in a periodic waveguide
Amgad Abdrabou, Ya Yan Lu
In a lossless periodic structure, a bound state in the continuum (BIC) is characterized by a real frequency and a real Bloch wavevector for which there exist waves propagating to o…
Complex modes in optical fibers and silicon waveguides
Nan Zhang, Ya Yan Lu
At a fixed frequency, a general wave field in an open optical waveguide is a sum of finite number of guided modes and an integral of radiation modes. Most studies on open lossless…
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…
Circularly polarized states and propagating bound states in the continuum in a periodic array of cylinders
Amgad Abdrabou, Ya Yan Lu
Bound states in the continuum (BICs) in a periodic structure sandwiched between two homogeneous media have interesting properties and useful applications in photonics. The topologi…
Complex modes in an open lossless periodic waveguide
Amgad Abdrabou, Ya Yan Lu
Guided modes of an open periodic waveguide, with a periodicity in the main propagation direction, are Bloch modes confined around the waveguide core with no radiation loss in the t…
Exceptional points of Bloch eigenmodes on a dielectric slab with a periodic array of cylinders
Amgad Abdrabou, Ya Yan Lu
Eigenvalue problems for electromagnetic resonant states on open dielectric structures are non-Hermitian and may have exceptional points (EPs) at which two or more eigenfrequencies…
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…
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…
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…
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…
Computing resonant modes of circular cylindrical resonators by vertical mode expansions
Hualiang Shi, Ya Yan Lu
Open subwavelength cylindrical resonators of finite height are widely used in various photonics applications. Circular cylindrical resonators are particularly important in nanophot…
Exceptional points for resonant states on parallel circular dielectric cylinders
Amgad Abdrabou, Ya Yan Lu
Exceptional points (EPs) are special parameter values of a non-Hermitian eigenvalue problem where eigenfunctions corresponding to a multiple eigenvalue coalesce. In optics, EPs are…
Indirect link between resonant and guided modes on uniform and periodic slabs
Amgad Abdrabou, Ya Yan Lu
A uniform or periodic dielectric slab can serve as an optical waveguide for which guided modes are important, and it can also be used as a diffraction structure for which resonant…
Exceptional Points of Resonant States on a Periodic Slab
Amgad Abdrabou, Ya Yan Lu
A special kind of degeneracies known as the exceptional points (EPs), for resonant states on a dielectric periodic slab, are investigated. Due to their unique properties, EPs have…
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…