Axisymmetric Scholte Waves and Special Features of Propagation
Chunlei Biana, Ji Wanga, b, Bin Huanga, b, Longtao Xiea, b, Lijun Yia, b, Lili Yuana, c, Honglang Lid, Yahui Tiane
aPiezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo, 315211 Zhejiang, China
bTXC-NBU Joint Center of Research, School of Mechanical Engineering and Mechanics, Ningbo University, 818 Fenghua Road, Ningbo, 315211 Zhejiang, China
cSchool of Civil and Environmental Engineering, Ningbo University, 818 Fenghua Road, Ningbo, 315211 Zhejiang, China
dNational Center for Nanoscience and Technology, 11 Beiyitiao Road, Zhongguancun, 100190 Beijing, China
eInstitute of Acoustics, Chinese Academy of Sciences, 21 West Beisihuan Road, Zhongguancun, 100190 Beijing, China
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As a special wave mode propagating in the interface between an infinite elastic solid and fluid, the Scholte waves are well known for their existence and frequency with distinct properties. The analysis and features are usually presented through the formulation in Cartesian coordinates, while the essential features of the phase velocity and wave patterns are also similar in other coordinates on the basis of equivalence. A variation of the Scholte wave features with a coordinate framework should be examined for possible insights related to mathematical solutions and applications besides the known properties. Using a systematic formulation with cylindrical coordinates and subsequent solutions in the Bessel functions, it is proved that the Scholte waves will attenuate with the increase of a radius in an axisymmetric case, which is different from the results in the Cartesian coordinate system. In addition, the particle trajectory will also vary due to the changes of the waveform. The examination of such features in a systematic analysis should play a prominent role in engineering applications of wave propagation associated with cylindrical solids.

DOI:10.12693/APhysPolA.139.710
topics: Scholte wave, axisymmetric, propagation, velocity