6 papers
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…
Target localization, identification and sensing using latent symmetries
David Dukov, Malte Röntgen, Bryn Davies
We show that an array of scatterers which has been designed to have latent ("hidden") symmetries can be used as a sensor. We use the capacitance matrix as a canonical model for thr…
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…
Universal estimates for the density of states for aperiodic block subwavelength resonator systems
Habib Ammari, Silvio Barandun, Bryn Davies +2
We consider the spectral properties of aperiodic block subwavelength resonator systems in one dimension, with a primary focus on the density of states. We prove that for random blo…
Hofstadter butterflies in phononic structures: commensurate spectra, wave localization and metal-insulator transitions
Bryn Davies, Lorenzo Morini
We present a new simple and easy-to-implement one-dimensional phononic system whose spectrum exactly corresponds to the Hofstadter butterfly when a parameter is modulated. The syst…