191 citations · 240 across the 7 of their papers we have counts for
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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…
Moulding flexural waves in elastic plates lying atop a Faqir's bed of nails
Tryfon Antonakakis, Richard Craster, Sébastien Guenneau
Platonic crystals (PCs) are the elastic plate analogue of the photonic crystals widely used in optics, and are thin structured elastic plates along which flexural waves cannot prop…