Bloch surface eigenstates within the radiation continuum
نویسندگان
چکیده
From detailed numerical calculations, we demonstrate that in simple photonic crystal structures, a discrete number of Bloch surface-localized eigenstates can exist inside the continuum of free-space modes. Coupling to the free space causes the surface modes to leak, but the forward and back-reflected leakage may interfere destructively to create a perfectly bound surface state with zero leakage. We perform analytical temporal coupled-mode theory analysis to show the generality of such phenomenon and its robustness from variations of system parameters. Periodicity, time-reversal invariance, two-fold rotational symmetry and a perfectly reflecting boundary are necessary for these unique states. Light: Science & Applications (2013) 2, e84; doi:10.1038/lsa.2013.40; published online 19 July 2013
منابع مشابه
Band Mapping in One-Step Photoemission Theory: Multi-Bloch-Wave Structure of Final States and Interference Effects
A novel Bloch-waves based one-step theory of photoemission is developed within the augmented plane wave formalism. Implications of multi-Bloch-wave structure of photoelectron final states for band mapping are established. Interference between Bloch components of initial and final states leads to prominent spectral features with characteristic frequency dispersion experimentally observed in VSe2...
متن کاملConcentration of Bloch eigenstates in the presence of gauge at the semi-classical limit
We prove a concentration result of a Bloch eigenstate in a periodic channel under a constant gauge. In the semi-classical limit h → 0 these eigenstates concentrate near a maximizer of the scalar potential of the associated Schrödinger operator, provided the constant gauge converges to a critical value from above. This is in contrast with the ground states which concentrate for any gauge in this...
متن کاملBloch state tomography using Wilson lines.
Topology and geometry are essential to our understanding of modern physics, underlying many foundational concepts from high-energy theories, quantum information, and condensed-matter physics. In condensed-matter systems, a wide range of phenomena stem from the geometry of the band eigenstates, which is encoded in the matrix-valued Wilson line for general multiband systems. Using an ultracold ga...
متن کاملLocalization Effects in ac-driven Tight-Binding Lattices
We study coherent dynamics of tight-binding systems interacting with static and oscillating external fields. We consider Bloch oscillations and WannierStark localization caused by dc fields, and compare these effects to dynamic localization that occurs in the presence of additional ac fields. Our analysis relies on quasienergy eigenstates, which take over the role of the usual Bloch waves. The ...
متن کاملLight Trapping above the Light Cone in One-Dimensional Arrays of Dielectric Spheres
We demonstrate bound states in the radiation continuum (BSC) in a linear periodic array of dielectric spheres in air above the light cone. We classify the BSCs by orbital angular momentum m = 0,±1,±2 according to the rotational symmetry of the array, Bloch wave vector β directed along the array according to the translational symmetry, and polarization. The most simple symmetry protected BSCs ha...
متن کامل