RESEARCH ARTICLE

Analytical solution for SH wave propagating through a graded plate of metamaterial

  • Jinfeng ZHAO 2 ,
  • Yongdong PAN 1 ,
  • Zheng ZHONG , 2
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  • 1. Institute of Acoustics, Tongji Universtiy, Shanghai 200092, China
  • 2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China

Received date: 02 Mar 2011

Accepted date: 20 Jul 2011

Published date: 05 Sep 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

A physical model for the shear horizontal (SH) wave propagating from left-handed material (LHM) through a graded or transition layer to right-handed material (RHM) has been proposed in this paper. After the comparison of the basic wave equations of the electromagnetic, longitudinal, and SH waves, it is found that they take similar differential form. The analytical solutions have been found for power law, hyperbolic, and polynomial profiles. Numerical waveforms of the amplitude and phase of the displacement are obtained for the corresponding profiles. It is found that the waveforms are symmetric for the power law and hyperbolic profiles, and that the waveform for the polynomial profile is shifted and non-symmetric. The shift along with the anti-symmetric profile may provide a way to monitor the wave behavior of the metamaterials.

Cite this article

Jinfeng ZHAO , Yongdong PAN , Zheng ZHONG . Analytical solution for SH wave propagating through a graded plate of metamaterial[J]. Frontiers of Mechanical Engineering, 2011 , 6(3) : 301 -307 . DOI: 10.1007/s11465-011-0238-7

Acknowledgement

This work was supported by the National Natural Science Foundation of China (Grant Nos. 10872150, 10872151 and 11090333).
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