Ling Lu

TL;DR: In this article, the authors demonstrate that all robust bound states in the continuum in photonic crystal slabs are vortex centers in the polarization directions of far-field radiation, which are robust because they carry conserved and quantized topological charges under PT symmetry.

TL;DR: In this article, the authors predict quantum anomalous Hall phases in photonic crystals with large Chern numbers of 2, 3 and 4, and demonstrate their applications using unidirectional waveguides at microwave frequencies.

TL;DR: In this article , the authors show that the monopole and multi-monopole solutions can be constructed in the band theory by coupling the three-dimensional Dirac points in hedgehog spatial configurations through Dirac-mass engineering, and experimentally demonstrate such a monopole bound state in a structurally-modulated acoustic crystal as a cavity device.

TL;DR: The existence of bound states in the continuum (BICs) was first proposed in quantum mechanics by von Neumann and Wigner in 1929 for the Schrödinger equation.

TL;DR: In this article, the authors apply the iterative Green's function to photonic and acoustic crystals, using finite-element discretizations and a generalized eigenvalue formulation, to calculate the local density-of-states on a single surface of semi-infinite lattices.