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The band gaps of a two-dimensional phononic crystal are studied by using the plane-wave expansion method and the supercell calculations. The two-dimensional phononic crystal is formed by square-shape arrangement of 4340 steel inserted into epoxy resin. The band gaps of different structures are calculated such as defect-free, 45 crystal defect states, 90 crystal defect states, 135 crystal defect states and 180 crystal defect states. It is found that the bandwidth of defect state is about 31 times larger than that of the defect-free crystal; with F=0.10.9 the band gaps occur in different defect structures and increase with defect state angle increasing. In addition, the influences of filling fraction on the band gap number and the relative width of the minimum band gap are also discussed.
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Keywords:
- defect state /
- bandwidth /
- number of band gap
[1] Kushwaha M S 1993 Phys. Rev. Lett. 71 2022
[2] [3] Martinez Sala R, Sancho J,Sanchez J V 1995 Nature 387
[4] [5] Sigalas M M 1998 J. Appl. Phys. 84 3026
[6] Chen S B, Wen J H, Yu D L, Wang G, Wen X S 2010 Chin. Phys. B 19 014301
[7] [8] [9] Qi G J, Yang S L, Bai S X, Zhao X 2003 Acta Phys. Sin. 52 668 (in Chinese)[齐共金、杨盛良、白书欣、赵 恂 2003 52 668]
[10] Wu F G, Liu Y Y 2002 Acta Phys. Sin. 51 1434 [吴福根、刘有延 2002 51 1434]
[11] [12] [13] Xu C, Hu L F, Dong X C, Liu Y K 2010 Piezoelectrics Acoustooptics 32 859 [徐 超、胡丽芬、董兴成、刘应开 2010 压电与声光 32 859]
[14] [15] Wen X S 2009 Phononic Crystals (Beijing: National Defense Industry Press) p61 (in Chinese)[温熙森 2009 声子晶体 (北京:国防工业出版社) 第61页]
[16] Hu L F, Xu C, Dong X C 2010 Yunnan Normal University 30 49 [胡丽芬、徐 超、董兴成 2010 云南师范大学学报 30 49]
[17] [18] Zhang R Y, Jiang G S, Wang Z Q,Lv Y D 2006 Technical Acoustics 25 35 [张荣英、姜根山、王璋奇、吕亚东 2006 声学技术 25 35]
[19] -
[1] Kushwaha M S 1993 Phys. Rev. Lett. 71 2022
[2] [3] Martinez Sala R, Sancho J,Sanchez J V 1995 Nature 387
[4] [5] Sigalas M M 1998 J. Appl. Phys. 84 3026
[6] Chen S B, Wen J H, Yu D L, Wang G, Wen X S 2010 Chin. Phys. B 19 014301
[7] [8] [9] Qi G J, Yang S L, Bai S X, Zhao X 2003 Acta Phys. Sin. 52 668 (in Chinese)[齐共金、杨盛良、白书欣、赵 恂 2003 52 668]
[10] Wu F G, Liu Y Y 2002 Acta Phys. Sin. 51 1434 [吴福根、刘有延 2002 51 1434]
[11] [12] [13] Xu C, Hu L F, Dong X C, Liu Y K 2010 Piezoelectrics Acoustooptics 32 859 [徐 超、胡丽芬、董兴成、刘应开 2010 压电与声光 32 859]
[14] [15] Wen X S 2009 Phononic Crystals (Beijing: National Defense Industry Press) p61 (in Chinese)[温熙森 2009 声子晶体 (北京:国防工业出版社) 第61页]
[16] Hu L F, Xu C, Dong X C 2010 Yunnan Normal University 30 49 [胡丽芬、徐 超、董兴成 2010 云南师范大学学报 30 49]
[17] [18] Zhang R Y, Jiang G S, Wang Z Q,Lv Y D 2006 Technical Acoustics 25 35 [张荣英、姜根山、王璋奇、吕亚东 2006 声学技术 25 35]
[19]
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