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The transmission properties of phononic crystals in one-dimensional piezoelectric Fibonacci quasi-periodical superlattices are studied using the transfer matrix method. The transmission coefficients in piezoelectric Fibonacci quasi-periodical superlattices are compared with those of the phononic crystals with periodical structure and with non-piezoelectric Fibonacci quasi-periodical structure. The results show that the band gap can also be found in the phononic crystals with both piezoelectric and non-piezoelectric Fibonacci quasi-periodical superlattices, and the frequency range of the gap in piezoelectric Fibonacci quasi-periodical superlattices is larger than those of periodical structure and non-piezoelectric Fibonacci quasi-periodical structure. Furthermore, the transmission coefficients are studied as a function of the properties of the material and incidence angle of the wave. The results show that the transmission coefficients in piezoelectric Fibonacci quasi-periodical superlattices are correlated with incidence angle of the wave.
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Keywords:
- phononic crystals /
- quasi-periodical /
- piezoelectric
[1] Sigalas M M, Economou E N 1993 Solid State Commun. 86 141
[2] Kushwaha M S, Halevi P, Dobrzynski L, Rouhani B D 1993 Phys. Rev. Lett. 71 2022
[3] Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[4] Wen J H, Wang G, Liu Y Z, Yu D L 2004 Acta Phys. Sin. 53 3384 (in Chinese) [温激鸿, 王刚, 刘耀宗, 郁殿龙 2004 物理学报 53 3384]
[5] Wu F G, Liu Y Y 2002 Acta Phys. Sin. 51 1434 (in Chinese) [吴福根, 刘有延 2002 物理学报 51 1434]
[6] Yang X B 2000 Acta Phys. Sin. 49 1185 (in Chinese) [杨湘波 2000 物理学报 49 1185]
[7] Li C L, Liu Y Y 2001 Acta Phys. Sin. 50 217 (in Chinese) [李翠莲, 刘有延 2001 物理学报 50 217]
[8] Zaghdoudi J, Kuszelewicz R, Kanzari M, Rezig B 2008 Proc. SPIE 6989 69890D
[9] Cao Y J, Yang X, Jiang Z L 2008 Acta Phys. Sin. 57 3620 (in Chinese) [曹永军, 杨旭 2008 物理学报 57 3620]
[10] Cao Y J, Yang X, Jiang Z L 2009 Acta Phys. Sin. 58 7735 (in Chinese) [曹永军, 杨旭, 姜自磊 2009 物理学报 58 7735]
[11] Zhou X F, Xu T, Liu S C, Cheng J C 2009 J. Appl. Phys. 106 104901
[12] Li F M, Xu M Q, Wang Y S 2007 Solid State Commun. 141 296
[13] Chen A L, Li F M, Wang Y S 2007 J. Sound Vibrat. 304 863
[14] Widmer D S, Deloudi S, Steurer W 2007 Phys. Rev. B 75 94304
[15] Holzer M 1988 Phys. Rev. B 38 5756
[16] Cao Y J, Dong C H, Zhou P Q 2006 Acta Phys. Sin. 55 6470 (in Chinese) [曹永军, 董纯红, 周培勤 2006 物理学报 55 6470]
[17] Calás H, Ramos R R, Otero J A, Leija L, Ramos A, Monsivais G 2010 J. Appl. Phys. 107 44511
[18] Monsivais G, Ramos R R, Sirvent R E, Alvarez L F 2003 Phys. Rev. B 68 174109
[19] Chen S B, Han X Y, You D L, Wen J H 2010 Acta Phys. Sin. 59 387 (in Chinese) [陈圣兵, 韩小云, 郁殿龙, 温激鸿 2010 物理学报 59 387]
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[1] Sigalas M M, Economou E N 1993 Solid State Commun. 86 141
[2] Kushwaha M S, Halevi P, Dobrzynski L, Rouhani B D 1993 Phys. Rev. Lett. 71 2022
[3] Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[4] Wen J H, Wang G, Liu Y Z, Yu D L 2004 Acta Phys. Sin. 53 3384 (in Chinese) [温激鸿, 王刚, 刘耀宗, 郁殿龙 2004 物理学报 53 3384]
[5] Wu F G, Liu Y Y 2002 Acta Phys. Sin. 51 1434 (in Chinese) [吴福根, 刘有延 2002 物理学报 51 1434]
[6] Yang X B 2000 Acta Phys. Sin. 49 1185 (in Chinese) [杨湘波 2000 物理学报 49 1185]
[7] Li C L, Liu Y Y 2001 Acta Phys. Sin. 50 217 (in Chinese) [李翠莲, 刘有延 2001 物理学报 50 217]
[8] Zaghdoudi J, Kuszelewicz R, Kanzari M, Rezig B 2008 Proc. SPIE 6989 69890D
[9] Cao Y J, Yang X, Jiang Z L 2008 Acta Phys. Sin. 57 3620 (in Chinese) [曹永军, 杨旭 2008 物理学报 57 3620]
[10] Cao Y J, Yang X, Jiang Z L 2009 Acta Phys. Sin. 58 7735 (in Chinese) [曹永军, 杨旭, 姜自磊 2009 物理学报 58 7735]
[11] Zhou X F, Xu T, Liu S C, Cheng J C 2009 J. Appl. Phys. 106 104901
[12] Li F M, Xu M Q, Wang Y S 2007 Solid State Commun. 141 296
[13] Chen A L, Li F M, Wang Y S 2007 J. Sound Vibrat. 304 863
[14] Widmer D S, Deloudi S, Steurer W 2007 Phys. Rev. B 75 94304
[15] Holzer M 1988 Phys. Rev. B 38 5756
[16] Cao Y J, Dong C H, Zhou P Q 2006 Acta Phys. Sin. 55 6470 (in Chinese) [曹永军, 董纯红, 周培勤 2006 物理学报 55 6470]
[17] Calás H, Ramos R R, Otero J A, Leija L, Ramos A, Monsivais G 2010 J. Appl. Phys. 107 44511
[18] Monsivais G, Ramos R R, Sirvent R E, Alvarez L F 2003 Phys. Rev. B 68 174109
[19] Chen S B, Han X Y, You D L, Wen J H 2010 Acta Phys. Sin. 59 387 (in Chinese) [陈圣兵, 韩小云, 郁殿龙, 温激鸿 2010 物理学报 59 387]
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