Controlling Directionality and Dimensionality of Wave Propagation through Separable Bound States in the Continuum

Abstract

A bound state in the continuum (BIC) is an unusual localized state that is embedded in a continuum of extended states. Here, we present the general condition for BICs to arise from wave equation separability and show that the directionality and dimensionality of their resonant radiation can be controlled by exploiting perturbations of certain symmetry. Using this general framework, we construct new examples of separable BICs in realistic models of optical potentials for ultracold atoms, photonic systems, and systems described by tight binding. Such BICs with easily reconfigurable radiation patterns allow for applications such as the storage and release of waves at a controllable rate and direction, systems that switch between different dimensions of confinement, and experimental realizations in atomic, optical, and electronic systems.

15 pages, 3 figures

References in corpus (5)

• Topological nature of bound states in the radiation continuum
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Analytical Perspective for Photonic Bound States in the Continuum in Photonic Crystal Slabs
• Bloch bound states in the radiation continuum in a periodic array of dielectric rods
• Robust bound states in the continuum in Kerr microcavity embedded in photonic crystal waveguide

Cited by in corpus (16)

• Lasing action in active dielectric nanoantenna arrays
• Anisotropy-induced photonic bound states in the continuum
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• A Universal Mirror-stacking Approach for Constructing Topological Bound States in the Continuum
• Topological properties of bound-states-in-the-continuum in geometries with broken anisotropy-symmetry
• Coherent-perfect-absorber and laser for bound states in a continuum
• Angular Control of Anisotropy-Induced Bound States in the Continuum
• Rabi oscillations of bound states in the continuum
• Unidirectional guided resonances in anisotropic waveguides
• Bound States in the Continuum in Spin-Orbit Coupled Atomic Systems
• Interaction-induced multiparticle bound states in the continuum
• Suppressing deleterious effects of spontaneous emission in creating bound states in cold atom continuum
• Solitary Spectrally-Discrete Bound States in the Continuum in an Open System
• Compact localized states of open scattering media
• Shaping Long-lived Electron Wavepackets for Customizable Optical Spectra
• Dispersive bands of bound states in the continuum