Phononic Band Gap Width Control through Structural and Material Parameters in Two-Dimensional Phononic Crystals

作者: I. Śliwa , M. Krawczyk

DOI: 10.12693/APHYSPOLA.108.943

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摘要: The phononic band structures of two-dimensional solid crystals with different lattice and scatterer symmetry are studied numerically, three types (square, triangular, rectangular) four shapes (circle, hexagon, square, rectangle) considered. XY Z vibration modes investigated separately. Two crystal considered: one composed high-density rods embedded in a low-density matrix, the other matrix. In former case, type polarization being fixed, broadest gaps obtained when corresponds to that (the shape rod is identical first Brillouin zone); largest gap width values observed triangular lattice-based (compared those based on square rectangular lattices), corresponding zone closest circle. These rules do not apply which density material lower than this lattice, either fail appear at all, or much narrower configurations. effect parameter (such as longitudinal transversal velocity values) relation between energy found be lesser.

参考文章(24)
You-Yu Chen, Zhen Ye, ACOUSTIC ATTENUATION BY TWO-DIMENSIONAL ARRAYS OF RIGID CYLINDERS Physical Review Letters. ,vol. 87, pp. 184301- ,(2001) , 10.1103/PHYSREVLETT.87.184301
J O Vasseur, B Djafari-Rouhani, L Dobrzynski, P A Deymier, Acoustic band gaps in fibre composite materials of boron nitride structure Journal of Physics: Condensed Matter. ,vol. 9, pp. 7327- 7341 ,(1997) , 10.1088/0953-8984/9/35/008
D. Caballero, J. Sánchez-Dehesa, C. Rubio, R. Mártinez-Sala, J. V. Sánchez-Pérez, F. Meseguer, J. Llinares, Large two-dimensional sonic band gaps. Physical Review E. ,vol. 60, ,(1999) , 10.1103/PHYSREVE.60.R6316
M. S. Kushwaha, P. Halevi, Band‐gap engineering in periodic elastic composites Applied Physics Letters. ,vol. 64, pp. 1085- 1087 ,(1994) , 10.1063/1.110940
Weimin Kuang, Zhilin Hou, Youyan Liu, The effects of shapes and symmetries of scatterers on the phononic band gap in 2D phononic crystals Physics Letters A. ,vol. 332, pp. 481- 490 ,(2004) , 10.1016/J.PHYSLETA.2004.10.009
M. Sigalas, E.N. Economou, Band structure of elastic waves in two dimensional systems Solid State Communications. ,vol. 86, pp. 141- 143 ,(1993) , 10.1016/0038-1098(93)90888-T
Rongzhou Wang, Xue-Hua Wang, Ben-Yuan Gu, Guo-Zhen Yang, Effects of shapes and orientations of scatterers and lattice symmetries on the photonic band gap in two-dimensional photonic crystals Journal of Applied Physics. ,vol. 90, pp. 4307- 4313 ,(2001) , 10.1063/1.1406965
M. M. Sigalas, E. N. Economou, Elastic waves in plates with periodically placed inclusions Journal of Applied Physics. ,vol. 75, pp. 2845- 2850 ,(1994) , 10.1063/1.356177
F. Cervera, L. Sanchis, J. V. Sánchez-Pérez, R. Martínez-Sala, C. Rubio, F. Meseguer, C. López, D. Caballero, J. Sánchez-Dehesa, Refractive acoustic devices for airborne sound. Physical Review Letters. ,vol. 88, pp. 023902- ,(2001) , 10.1103/PHYSREVLETT.88.023902