A multi-fold Bragg scattering of light by elastic waves with direct transitions between all the light modes

2005 ◽  
Author(s):  
Alexandre S. Shcherbakov ◽  
Eduardo Tepichin Rodriguez ◽  
Arturo Aguirre Lopez
2005 ◽  
Vol 72 (7) ◽  
pp. 511 ◽  
Author(s):  
V. M. Kotov ◽  
G. N. Shkerdin ◽  
D. G. Shkerdin ◽  
E. V. Kotov

2020 ◽  
Vol 10 (2) ◽  
pp. 547 ◽  
Author(s):  
Jeonghoon Park ◽  
Dongwoo Lee ◽  
Junsuk Rho

Metamaterials are composed of arrays of subwavelength-sized artificial structures; these architectures give rise to novel characteristics that can be exploited to manipulate electromagnetic waves and acoustic waves. They have been also used to manipulate elastic waves, but such waves have a coupling property, so metamaterials for elastic waves uses a different method than for electromagnetic and acoustic waves. Since researches on this type of metamaterials is sparse, this paper reviews studies that used elastic materials to manipulate elastic waves, and introduces applications using extraordinary characteristics induced by metamaterials. Bragg scattering and local resonances have been exploited to introduce a locally resonant elastic metamaterial, a gradient-index lens, a hyperlens, and elastic cloaking. The principles and applications of metasurfaces that can overcome the disadvantages of bulky elastic metamaterials are discussed.


2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.


1966 ◽  
Vol 89 (5) ◽  
pp. 49-88 ◽  
Author(s):  
V.A. Zubov ◽  
M.M. Sushchinskii ◽  
I.K. Shuvalov

1971 ◽  
Vol 105 (12) ◽  
pp. 765-766
Author(s):  
Vladimir M. Agranovich ◽  
Vitalii L. Ginzburg
Keyword(s):  

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