7 citations · 12 across the 5 of their papers we have counts for
7 papers
Bloch waves in an arbitrary two-dimensional lattice of subwavelength Dirichlet scatterers
Ory Schnitzer, Richard V. Craster
We study waves governed by the planar Helmholtz equation, propagating in an infinite lattice of subwavelength Dirichlet scatterers, the periodicity being comparable to the waveleng…
Surface-plasmon resonances of arbitrarily shaped nanometallic structures in the small-screening-length limit
Ory Schnitzer, Vincenzo Giannini, Stefan A. Maier +1
According to the hydrodynamic Drude model, surface-plasmon resonances of metallic nanostructures blueshift owing to the nonlocal response of the metal's electron gas. The screening…
The homogenisation of Maxwell's equations with applications to photonic crystals and localised waveforms on metafilms
B. J. Maling, D. J. Colquitt, R. V. Craster
An asymptotic theory is developed to generate equations that model the global behaviour of electromagnetic waves in periodic photonic structures when the wavelength is not necessar…
Wave mechanics in media pinned at Bravais lattice points
Mehul Makwana, Tryfon Antonakakis, Ben Maling +2
The propagation of waves through microstructured media with periodically arranged inclusions has applications in many areas of physics and engineering, stretching from photonic cry…
Homogenization Techniques for Periodic Structures
Sebastien Guenneau, Richard Craster, Tryfon Antonakakis +2
In this chapter we describe a selection of mathematical techniques and results that suggest interesting links between the theory of gratings and the theory of homogenization, inclu…
Finite Element Method (Chapter from "Gratings: Theory and Numeric Applications")
Guillaume Demésy, Frédéric Zolla, André Nicolet +1
In this chapter, we demonstrate a general formulation of the Finite Element Method allowing to calculate the diffraction efficiencies from the electromagnetic field diffracted by a…