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Dispersion characteristics of negative refraction sonic crystals

✍ Scribed by Liang-Yu Wu; Lien-Wen Chen; Rex Ching-Cheng Wang


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
450 KB
Volume
403
Category
Article
ISSN
0921-4526

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✦ Synopsis


Dispersion characteristics of negative refraction sonic crystals are investigated. The plane wave expansion method is used to calculate the equifrequency surface; the dependences of refractive direction on frequencies and incident angles for triangular lattices are shown. There exist the positive and negative refractive waves which include k Á V g X0 and k Á V g p0 in the second band for the triangular system. We also use the finite element method to demonstrate that the relative intensity of the transmitted acoustic waves is dependent on incident frequencies and angles. The positions of the partial band gaps obtained by the plane wave expansion method are in good agreement with those obtained by the finite element method. The sonic crystals with negative effective index are shown to have higher transmission intensities. By using the negative refraction behavior, we can design a sonic crystal plane lens to focus a sonic wave.


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