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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  versus θ(0). stands for the phase velocity, , of the refracted P-wave for  and the phase velocity, , of the refracted P-wave for .
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f4: Relationships of versus θ(0). stands for the phase velocity, , of the refracted P-wave for and the phase velocity, , of the refracted P-wave for .

Mentions: As shown in Fig. 2a, the value of is purely real for ; whereas for , it is purely imaginary, as shown in Fig. 2b. Figure 3a,b show that for θ(0) ∈ [0°, 90°], is real (not complex). In Fig. 3c,d, the value of is real for and purely imaginary for . For , both and are purely imaginary. Figure 4b,c show that is equal to for and is equal to for . The curve segment in Fig. 4b plus curve segment in Fig. 4c forms the curve in Fig. 4d, which is the same as that in Fig. 4a. Here, for , is purely real and is purely imaginary, so during the plotting of the relationship of versus θ(0), the computer takes the value of as zero automatically.


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  versus θ(0). stands for the phase velocity, , of the refracted P-wave for  and the phase velocity, , of the refracted P-wave for .
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f4: Relationships of versus θ(0). stands for the phase velocity, , of the refracted P-wave for and the phase velocity, , of the refracted P-wave for .
Mentions: As shown in Fig. 2a, the value of is purely real for ; whereas for , it is purely imaginary, as shown in Fig. 2b. Figure 3a,b show that for θ(0) ∈ [0°, 90°], is real (not complex). In Fig. 3c,d, the value of is real for and purely imaginary for . For , both and are purely imaginary. Figure 4b,c show that is equal to for and is equal to for . The curve segment in Fig. 4b plus curve segment in Fig. 4c forms the curve in Fig. 4d, which is the same as that in Fig. 4a. Here, for , is purely real and is purely imaginary, so during the plotting of the relationship of versus θ(0), the computer takes the value of as zero automatically.

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.