Name
Abstract | ||
|---|---|---|
AbstractThe propagation of waves throughmicrostructured media withperiodically arranged inclusions has applications in many areas of physics and engineering,stretching from photonic crystals throughto seismic metamaterials. In the high-frequency regime, modeling such behavior is complicated by multiple scattering ofthe resulting short waves between the inclusions.Our aim is to develop an asymptotictheory for modeling systems with arbitrarily shaped inclusions located on general Bravais lattices. We then consider the limit of pointlike inclusions, the advantage being that exact solutions can be obtained using Fourier methods, and go on to derive effective medium equations using asymptotic analysis. This approach allows us to explore theunderlying reasons for dynamic anisotropy, localization ofwaves, and other properties typical of such systems, and in particular their dependenceupon geometry.Solutions of the effective medium equations are compared with the exact solutions,shedding further light on the underlying physics. We focus on examples thatexhibit dynamic anisotropy as these demonstrate the capability of the asymptotic theoryto pick up detailed qualitative and quantitative features. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1137/15M1020976 | Periodicals |
Keywords | Field | DocType |
homogenization,Bloch waves,multiple scales | Bloch wave,Anisotropy,Photonic crystal,Bravais lattice,Mathematical analysis,Homogenization (chemistry),Fourier transform,Scattering,Asymptotic analysis,Classical mechanics,Physics | Journal |
Volume | Issue | ISSN |
76 | 1 | 0036-1399 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Makwana | 1 | 0 | 0.34 |
| T. Antonakakis | 2 | 0 | 0.34 |
| Ben Maling | 3 | 0 | 0.34 |
| Sébastien Guenneau | 4 | 0 | 1.35 |
| R. V. Craster | 5 | 2 | 2.30 |