191 citations · 240 across the 7 of their papers we have counts for
7 papers
Clamped seismic metamaterials: Ultra-low broad frequency stop-bands
Y. Achaoui, T. Antonakakis, S. Brule +3
The regularity of earthquakes, their destructive power, and the nuisance of ground vibration in urban environments, all motivate designs of defence structures to lessen the impact…
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…
Asymptotic theory of microstructured surfaces: An asymptotic theory for waves guided by diffraction gratings or along microstructured surfaces
Tryfon Antonakakis, Richard V. Craster, Sebastien Guenneau +1
An effective surface equation, that encapsulates the detail of a microstructure, is developed to model microstructured surfaces. The equations deduced accurately reproduce a key fe…
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…
High-frequency homogenization of zero frequency stop band photonic and phononic crystals
Tryfon Antonakakis, Richard Craster, Sebastien Guenneau
We present an accurate methodology for representing the physics of waves, for periodic structures, through effective properties for a replacement bulk medium: This is valid even fo…
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…