Singularity of the Bloch theorem in the fluid/solid phononic crystal
作者： Zhilin Hou , Xiujun Fu , Youyan Liu
DOI: 10.1103/PHYSREVB.73.024304
关键词:
摘要: … We find that the Bloch theorem is singular in some areas of this kind of system. The … air/rigid system, in which how to correctly use the Bloch theorem in such kind of systems is shown. …
harvard.edu
sci-hub.se 参考文章(17)
Suxia Yang, J. H. Page, Zhengyou Liu, M. L. Cowan, C. T. Chan, Ping Sheng, Focusing of sound in a 3D phononic crystal. Physical Review Letters. ,vol. 93, pp. 024301- ,(2004) , 10.1103/PHYSREVLETT.93.024301
M. S. Kushwaha, P. Halevi, L. Dobrzynski, B. Djafari-Rouhani, Acoustic band structure of periodic elastic composites. Physical Review Letters. ,vol. 71, pp. 2022- 2025 ,(1993) , 10.1103/PHYSREVLETT.71.2022
E. N. Economou, M. M. Sigalas, Classical wave propagation in periodic structures: Cermet versus network topology. Physical Review B. ,vol. 48, pp. 13434- 13438 ,(1993) , 10.1103/PHYSREVB.48.13434
M. Kafesaki, E. N. Economou, Multiple-scattering theory for three-dimensional periodic acoustic composites Physical Review B. ,vol. 60, pp. 11993- 12001 ,(1999) , 10.1103/PHYSREVB.60.11993
Zhengyou Liu, C. T. Chan, Ping Sheng, A. L. Goertzen, J. H. Page, Elastic wave scattering by periodic structures of spherical objects: Theory and experiment Physical Review B. ,vol. 62, pp. 2446- 2457 ,(2000) , 10.1103/PHYSREVB.62.2446
J. O. Vasseur, P. A. Deymier, B. Chenni, B. Djafari-Rouhani, L. Dobrzynski, D. Prevost, Experimental and Theoretical Evidence for the Existence of Absolute Acoustic Band Gaps in Two-Dimensional Solid Phononic Crystals Physical Review Letters. ,vol. 86, pp. 3012- 3015 ,(2001) , 10.1103/PHYSREVLETT.86.3012
D. García-Pablos, M. Sigalas, F. R. Montero de Espinosa, M. Torres, M. Kafesaki, N. García, Theory and Experiments on Elastic Band Gaps Physical Review Letters. ,vol. 84, pp. 4349- 4352 ,(2000) , 10.1103/PHYSREVLETT.84.4349
Yukihiro Tanaka, Yoshinobu Tomoyasu, Shin-ichiro Tamura, Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch Physical Review B. ,vol. 62, pp. 7387- 7392 ,(2000) , 10.1103/PHYSREVB.62.7387
C. Goffaux, J. P. Vigneron, Theoretical study of a tunable phononic band gap system Physical Review B. ,vol. 64, pp. 075118- ,(2001) , 10.1103/PHYSREVB.64.075118
J. V. Sánchez-Pérez, D. Caballero, R. Mártinez-Sala, C. Rubio, J. Sánchez-Dehesa, F. Meseguer, J. Llinares, F. Gálvez, Sound Attenuation by a Two-Dimensional Array of Rigid Cylinders Physical Review Letters. ,vol. 80, pp. 5325- 5328 ,(1998) , 10.1103/PHYSREVLETT.80.5325