Velocity dispersion analysis of acoustic scattering wave from elastic shells

2008 ◽  
Vol 123 (5) ◽  
pp. 3592-3592
Author(s):  
Cao Zhengliang ◽  
Du Shuanping ◽  
Zhou Shihong ◽  
Cong Weihua
Keyword(s):  
Velocity Dispersion ◽  
Acoustic Scattering ◽  
Dispersion Analysis ◽  
Elastic Shells ◽  
Scattering Wave

Dispersion analysis for wave equations with fractional Laplacian loss operators

2019 ◽  
Vol 22 (6) ◽  
pp. 1596-1606
Author(s):  
Sverre Holm
Keyword(s):  
Phase Velocity ◽  
Fractional Derivative ◽  
Fractional Derivatives ◽  
Wave Equations ◽  
Fractional Laplacian ◽  
Velocity Dispersion ◽  
Dispersion Analysis ◽  
Phase Velocity Dispersion ◽  
Loss Term ◽  
Kronig Relation

Abstract Several wave equations for power-law attenuation have a spatial fractional derivative in the loss term. Both one-sided and two-sided spatial fractional derivatives can give causal solutions and a phase velocity dispersion which satisfies the Kramers–Kronig relation. The Chen–Holm and the Treeby–Cox equations both have the two-sided fractional Laplacian derivative, but only the latter satisfies this relation. There also exists several seemingly different expressions for the phase velocity for these equations and it is shown here that they are approximately equivalent. Causality of the Chen–Holm equation has also been a topic of some discussion and it is found that despite the lack of agreement with the Kramers–Kronig relation, it is still causal.

Acoustic scattering from fluid‐filled, concentric, submerged, cylindrical, elastic shells

1993 ◽  
Vol 94 (6) ◽  
pp. 3277-3294 ◽  
Author(s):  
Adnan Akay ◽  
Sedat Sener ◽  
Guillermo C. Gaunaurd
Keyword(s):  
Acoustic Scattering ◽  
Elastic Shells

Resonant acoustic scattering by a finite linear grating of elastic shells

Ultrasonics ◽  
2003 ◽  
Vol 41 (8) ◽  
pp. 655-662 ◽  
Author(s):  
S. Lethuillier ◽  
J.M. Conoir ◽  
P. Pareige ◽  
J.L. Izbicki
Keyword(s):  
Acoustic Scattering ◽  
Elastic Shells ◽  
Finite Linear
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