scholarly journals Verification of the Rayleigh scattering cross section

2007 ◽  
Vol 75 (9) ◽  
pp. 824-826 ◽  
Author(s):  
Sayan Chakraborti
Keyword(s):  
Cross Section ◽  
Rayleigh Scattering ◽  
Scattering Cross Section ◽  
Scattering Cross

A Mode-Resolved Continuum Mechanics Model of Acoustic Wave Scattering From Embedded Cylinders

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Vineet Unni ◽  
Joseph P. Feser
Keyword(s):  
Elastic Wave ◽  
Cross Section ◽  
Continuum Mechanics ◽  
Wave Scattering ◽  
Rayleigh Scattering ◽  
Mie Scattering ◽  
Scattering Cross Section ◽  
Density Contrast ◽  
Continuum Approximation ◽  
Scattering Cross

In this paper, we use continuum mechanics to develop an analytic treatment of elastic wave scattering from an embedded cylinder and show that a classic treatise on the subject contains important errors for oblique angles of incidence, which we correct. We also develop missing equations for the scattering cross section at oblique angles and study the sensitivity of the scattering cross section as a function of elastodynamic contrast mechanisms. We find that in the Mie scattering regime for oblique angles of incidence, both elastic and density contrast are important mechanisms by which scattering can be controlled, but that their effects can offset one another, similar to the theory of reflection at flat interfaces. In comparison, we find that in the Rayleigh scattering regime, elastic and density contrast are always complimentary toward increasing scattering cross section, but for sufficiently high density contrast, the scattering cross section for incident compressional and y-transverse modes is nearly independent of elastic contrast. The solution developed captures the scattering physics for all possible incident elastic wave orientations, polarizations, and wavelengths including the transition from Rayleigh to geometric scattering regimes, so long as the continuum approximation holds. The method could, for example, enable calculation of the thermal conductivity tensor from microscopic principles which requires knowledge of the scattering cross section spanning all possible incident elastic wave orientations and polarizations at thermally excited wavelengths.

Rayleigh scattering cross-section measurements of nitrogen, argon, oxygen and air

2014 ◽  
Vol 147 ◽  
pp. 171-177 ◽  
Author(s):  
Ryan Thalman ◽  
Kyle J. Zarzana ◽  
Margaret A. Tolbert ◽  
Rainer Volkamer
Keyword(s):  
Cross Section ◽  
Rayleigh Scattering ◽  
Scattering Cross Section ◽  
Scattering Cross
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