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Anomalous incident-angle and elliptical-polarization rotation of an elastically refracted P-wave.

Fa L, Fa Y, Zhang Y, Ding P, Gong J, Li G, Li L, Tang S, Zhao M - Sci Rep (2015)

Bottom Line: This anomalous incident-angle is found to be located in the post-critical incident-angle region corresponding to a refracted P-wave.For an inhomogeneously refracted and elliptically polarized P-wave at the anomalous incident-angle, its rotational direction experiences an acute variation, from left-hand elliptical to right-hand elliptical polarization.The new findings provide us an enhanced understanding of acoustical-wave scattering and lead potentially to widespread and novel applications.

View Article: PubMed Central - PubMed

Affiliation: School of Electronic Engineering, Xi'an University of Posts and Telecommunications, Xi'an, Shaanxi 710121, China.

ABSTRACT
We report a newly discovered anomalous incident-angle of an elastically refracted P-wave, arising from a P-wave impinging on an interface between two VTI media with strong anisotropy. This anomalous incident-angle is found to be located in the post-critical incident-angle region corresponding to a refracted P-wave. Invoking Snell's law for a refracted P-wave provides two distinctive solutions before and after the anomalous incident-angle. For an inhomogeneously refracted and elliptically polarized P-wave at the anomalous incident-angle, its rotational direction experiences an acute variation, from left-hand elliptical to right-hand elliptical polarization. The new findings provide us an enhanced understanding of acoustical-wave scattering and lead potentially to widespread and novel applications.

No MeSH data available.


Relationships of  and  versus θ(0).(b) shows that the dashed-line segment  stacks together with the solid-line segment  for .
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f5: Relationships of and versus θ(0).(b) shows that the dashed-line segment stacks together with the solid-line segment for .

Mentions: Now, consider the polarization coefficients calculated from Eqs. (16) and (17) as those of the incident P-wave, reflected P-wave, reflected SV-wave and refracted SV-wave for θ(0) ∈ [0°, 90°] and the refracted P-wave for . Meanwhile, Eqs.(18) and (19) provide the polarization coefficients of the refracted P-wave for . Then the normalized real parts of z-components of Poynting vectors are plotted dashed-lines in Fig. 5a,b. It shows clearly that, for , the real part of is not identical to . Therefore, it is a violation of the energy balance principle. However, for , if we switch the calculation of polarization coefficients from Eqs. (18) and (19) to Eqs. (20) and (21), then the real part of is equal to , as shown by the solid-line in Fig. 5b, which abides the energy balance principle.


Anomalous incident-angle and elliptical-polarization rotation of an elastically refracted P-wave.

Fa L, Fa Y, Zhang Y, Ding P, Gong J, Li G, Li L, Tang S, Zhao M - Sci Rep (2015)

Relationships of  and  versus θ(0).(b) shows that the dashed-line segment  stacks together with the solid-line segment  for .
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4525486&req=5

f5: Relationships of and versus θ(0).(b) shows that the dashed-line segment stacks together with the solid-line segment for .
Mentions: Now, consider the polarization coefficients calculated from Eqs. (16) and (17) as those of the incident P-wave, reflected P-wave, reflected SV-wave and refracted SV-wave for θ(0) ∈ [0°, 90°] and the refracted P-wave for . Meanwhile, Eqs.(18) and (19) provide the polarization coefficients of the refracted P-wave for . Then the normalized real parts of z-components of Poynting vectors are plotted dashed-lines in Fig. 5a,b. It shows clearly that, for , the real part of is not identical to . Therefore, it is a violation of the energy balance principle. However, for , if we switch the calculation of polarization coefficients from Eqs. (18) and (19) to Eqs. (20) and (21), then the real part of is equal to , as shown by the solid-line in Fig. 5b, which abides the energy balance principle.

Bottom Line: This anomalous incident-angle is found to be located in the post-critical incident-angle region corresponding to a refracted P-wave.For an inhomogeneously refracted and elliptically polarized P-wave at the anomalous incident-angle, its rotational direction experiences an acute variation, from left-hand elliptical to right-hand elliptical polarization.The new findings provide us an enhanced understanding of acoustical-wave scattering and lead potentially to widespread and novel applications.

View Article: PubMed Central - PubMed

Affiliation: School of Electronic Engineering, Xi'an University of Posts and Telecommunications, Xi'an, Shaanxi 710121, China.

ABSTRACT
We report a newly discovered anomalous incident-angle of an elastically refracted P-wave, arising from a P-wave impinging on an interface between two VTI media with strong anisotropy. This anomalous incident-angle is found to be located in the post-critical incident-angle region corresponding to a refracted P-wave. Invoking Snell's law for a refracted P-wave provides two distinctive solutions before and after the anomalous incident-angle. For an inhomogeneously refracted and elliptically polarized P-wave at the anomalous incident-angle, its rotational direction experiences an acute variation, from left-hand elliptical to right-hand elliptical polarization. The new findings provide us an enhanced understanding of acoustical-wave scattering and lead potentially to widespread and novel applications.

No MeSH data available.