Spherical wave scattering by an elastic solid cylinder—A numerical comparison of an approximate theory with the exact theory

1987 ◽  
Vol 82 (2) ◽  
pp. 699-702 ◽  
Author(s):  
Jean C. Piquette
Keyword(s):  
Wave Scattering ◽  
Spherical Wave ◽  
Elastic Solid ◽  
Numerical Comparison ◽  
Approximate Theory ◽  
Solid Cylinder ◽  
Exact Theory

scholarly journals IV. On double refraction in a viscous fluid in motion

1874 ◽  
Vol 22 (148-155) ◽  
pp. 46-47 ◽  
Keyword(s):  
Internal Friction ◽  
Viscous Fluid ◽  
Polarized Light ◽  
Elastic Solid ◽  
The State ◽  
Solid Cylinder ◽  
Annular Space ◽  
Double Refraction ◽  
Fresh Start ◽  
The Moment

According to Poisson’s theory of the internal friction of fluids, a viscous fluid behaves as an elastic solid would do if it were periodically liquefied for an instant and solidified again, so that at each fresh start it becomes for the moment like an elastic solid free from strain. The state of strain of certain transparent bodies may be investigated by means of their action on polarized light. This action was observed by Brewster, and was shown by Fresnel to be an instance of double refraction. In 1866 I made some attempts to ascertain whether the state of strain in a viscous fluid in motion could be detected by its action on polarized light. I had a cylindrical box with a glass bottom. Within this box a solid cylinder could be made to rotate. The fluid to be examined was placed in the annular space between this cylinder and the sides of the box. Polarized light was thrown up through the fluid parallel to the axis, and the inner cylinder was then made to rotate. I was unable to obtain any result with solution of gum or sirup of sugar, though I observed an effect on polarized light when I compressed some Canada balsam which had become very thick and almost solid in a bottle.

scholarly journals Mesoscale Acoustical Cylindrical Superlens

2018 ◽  
Vol 155 ◽  
pp. 01029 ◽  
Author(s):  
Igor Minin ◽  
Oleg Minin
Keyword(s):  
Wave Scattering ◽  
Near Field ◽  
Elastic Solid ◽  
Diffraction Limit ◽  
Solid Particles ◽  
Acoustic Metamaterials ◽  
Field Zone ◽  
Sharp Focusing ◽  
Plane Wave Scattering ◽  
First Time

We demonstrate experimentally for the first time the acoustojet (acoustic jets) formed from acoustic plane wave scattering by a penetrable cylindrical particle with dimensions of several wavelengths. It acts as a superlens with subwavelength localization of acoustical wave. During the scattering by elastic solid particles, additional internal shear waves are excited due to modes conversion. This mechanism allows achieving sharp focusing in the near-field zone. Such mesoscale single particle cylindrical lens may be considered as acoustic metamaterials free superlenses with resolution beyond the diffraction limit.

Dilatational Spherical Wave Propagations of Multiple Energy Sources in Viscous Fluid-Saturated Elastic Porous Media

2012 ◽  
Author(s):  
Lu Han ◽  
Liming Dai
Keyword(s):  
Porous Media ◽  
Viscous Fluid ◽  
Spherical Wave ◽  
Elastic Solid ◽  
Stress Waves ◽  
Fluid Viscosity ◽  
Fundamental Theory ◽  
Compressible Viscous Fluid ◽  
Dissipation Term ◽  
Representative Model

Biot developed a representative model for the propagation of stress waves in a porous elastic solid containing a compressible viscous fluid, which is the fundamental theory about wave propagation in porous media. The solution proposed in that work has the same form under the model with or without fluid viscosity, though it is conflicted with the energy dissipation when the viscosity of flow is involved. In this study, the solution under the viscosity model has been modified with the exponential time dissipation term introduced to different forms under light and heavy viscosity, which complies with Biot’s oscillation form when there is no damping caused by fluid viscosity, and makes more sense as less oscillatory when the viscosity becomes large, as the energy will be dissipated in that case.

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