scholarly journals Two-dimensional skew scattering in the vicinity of and away from the resonant scattering condition

2008 ◽  
Vol 77 (24) ◽  
Author(s):  
V. V. Mkhitaryan ◽  
M. E. Raikh
Keyword(s):  
Resonant Scattering ◽  
Two Dimensional ◽  
Skew Scattering

Resonant scattering from two-dimensional gratings

1996 ◽  
Vol 13 (5) ◽  
pp. 993 ◽  
Author(s):  
Song Peng ◽  
G. Michael Morris
Keyword(s):  
Resonant Scattering ◽  
Two Dimensional

Multilayered Inclusions in Locally Resonant Metamaterials: Two-Dimensional Versus Three-Dimensional Modeling

2017 ◽  
Vol 139 (2) ◽  
Author(s):  
Anastasiia O. Krushynska ◽  
Marco Miniaci ◽  
Varvara G. Kouznetsova ◽  
Marc G. D. Geers
Keyword(s):  
Numerical Study ◽  
Three Dimensional ◽  
Low Frequency ◽  
Resonant Scattering ◽  
Wave Dispersion ◽  
3D Models ◽  
Two Dimensional ◽  
Resonant Structures ◽  
Three Dimensional Modeling ◽  
Cylindrical Inclusions

Locally resonant metamaterials (LRMs) controlling low-frequency waves due to resonant scattering are usually characterized by narrow band gaps (BGs) and a poor wave filtering performance. To remedy this shortcoming, multiresonant metamaterial structures with closely located BGs have been proposed and widely studied. However, the analysis is generally limited to two-dimensional (2D) structures neglecting the finite height of any real resonator. The aim of this paper is the comparison of the wave dispersion for two- and three-dimensional (3D) metamaterial models and evaluation of the applicability ranges of 2D results. Numerical study reveals that dual-resonant structures with cylindrical inclusions possess only a single (compared to two in the 2D case) BG for certain height-to-width ratios. In contrast, the wave dispersion in metamaterials with multiple spherical resonators can be accurately evaluated using a 2D approximation, enabling a significant simplification of resource-consuming 3D models.

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