6 papers
Scalar-Wave Dispersion in Vectorial Photonic Crystals via Site-Adapted p Orbitals
Yan-Long Chen, Kin Hung Fung, C. T. Chan +1
Electromagnetic waves are intrinsically vectorial and require description via polarization, unlike scalar fields such as acoustic pressure or electronic wavefunctions. In three dim…
Exact flat bands in a 3D photonic crystal
Kin Hung Fung, Yan-Long Chen, C. T. Chan +1
Photonic flat bands are hard to engineer because Maxwell's equations are vectorial: transversality obstructs the localized scalar-like bases that generate destructive-interference…
Unidirectional-like Edge Transport Induced by Non-Hermitian Skin Effects
Junyi Rao, Jinting Ding, Qinghua Guo +2
Non-Hermitian skin effects (NHSEs) enable dramatic boundary accumulation of waves, yet their experimental realization typically demands engineered nonreciprocity or spatially patte…
On Brezis Open Problem 3.1
Qi Guo, Xueping Huang, Yi C. Huang +2
Let be the unit disk in . We consider the harmonic map equation subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\si…
Searching for topological semi-complete bandgap in elastic truss lattices
Yiran Hao, Dong Liu, Liyou Luo +7
Gapless topological phases have attracted significant interest across both quantum and classical systems owing to their novel physics and promising applications. However, the searc…
Photonic chiral bulk transports manipulated by boundary freedom in three-dimensional meta-crystals
Yingxin Qi, Hanyu Wang, Qinghua Guo +2
In topological physics, one of the most intriguing phenomena is the presence of topological boundary states, accurately predicted by the well-established bulk-edge correspondence.…