Bound states in the continuum (BICs) are waves that remain localized even though they
coexist with a continuous spectrum of radiating waves that can carry energy away. Their very …

In the past ten years, the ideas of supersymmetry have been profitably applied to many
nonrelativistic quantum mechanical problems. In particular, there is now a much deeper …

Bound states in the continuum (BICs) are a striking example of how a solution to a simple
problem of quantum mechanics, obtained about a century ago, can serve as an incentive to …

The progress of the factorization method since the 1935 work of Dirac is briefly reviewed.
Though linked with older mathematical theories the factorization seems an autonomous' …

We introduce and experimentally demonstrate a class of surface bound states with algebraic
decay in a one-dimensional tight-binding lattice. Such states have an energy embedded in …

Transformation optics has formulated a versatile framework to mold the flow of light and
tailor its spatial characteristics at will. Despite its huge success in bringing scientific fiction …

In this paper, we propose what we believe to be a novel coupling mechanism for generating
quasi-bound states in the continuum (quasi-BIC) in symmetrical metasurface structures. We …

Bound states in the continuum (BICs) have attracted increasing interest in recent years
owing to their intriguing physical characteristics such as the infinitely high quality factor (Q …

In this paper, an all-dielectric metasurface composed of silicon and silica is proposed. By
breaking the symmetry of each cell structure, two quasi-bound states in the continuum (BICs) …

We show that confluent Darboux-Crum transformations with emergent Jordan states are an
effective tool for the design of optical systems governed by the Helmholtz equation under the …