4 papers · 1 filter
Non-singular hotspots between closely spaced high-index nanoparticles
Konstantinos Alexopoulos, Bryn Davies, Pierre Millien
We study the concentration of the field between two nearly touching high-index dielectric resonators in three dimensions. The model is a scalar Helmholtz transmission problem in th…
High-frequency spectral asymptotics and homogenization for quasiperiodic operators
Elena Cherkaev, Bryn Davies, Sébastien Guenneau +2
We study the spectral asymptotics of elliptic operators with quasiperiodic coefficients by exploiting projections from higher-dimensional periodic functions. Using the framework of…
Spectra and pseudospectra of non-Hermitian Toeplitz operators: Eigenvector decay transitions in banded and dense matrices
Yannick de Bruijn, Bryn Davies, Sacha Dupuy +1
Using a generalised Floquet-Bloch theory, we present a mathematical method to construct eigenvectors for non-Hermitian Toeplitz operators. We extend the method to both banded Toepl…
Topological interface modes in systems with damping
Konstantinos Alexopoulos, Bryn Davies, Erik Orvehed Hiltunen
We extend the theory of topological localised interface modes to systems with damping. The spectral problem is formulated as a root-finding problem for the interface impedance func…