固-固无限周期声子晶体中SH波全反射隧穿的谐振理论

刘启能; 刘沁

doi:10.7498/aps.62.044301

摘要

利用边界条件推导出SH波在一维固-固声子晶体中的转移矩阵, 得出一维固-固无限周期声子晶体中SH波的色散关系. 通过建立一维固-固无限周期声子晶体的谐振腔模型并利用共振条件得出SH波的全反射隧穿的波长公式. 利用波长公式研究了SH波全反射隧穿的波长变化规律, 其结果与色散法一致. 解释了一维固-固无限周期声子晶体中SH波的全反射隧穿效应产生的原因.

关键词:

Using the boundary conditions the SH wave transfer matrix is derived in one-dimensional (1D) solid-solid photonic crystal, and the dispersion relation of the SH wave is obtained. The resonator model 1D infinite cycle photonic crystal is established, and the wavelength formula of SH wave total reflection tunnel effect is investigated using the resonance condition of resonator. The physical mechanism of SH wave total reflection tunnel effect in the 1D solid-solid infinite cycle phononic crystal is explained.

Keywords:

作者及机构信息

刘启能¹,
刘沁²

1.
重庆工商大学计算机科学与信息工程学院, 重庆 400067;

2.
重庆工商大学设计艺术学院, 重庆 400067

基金项目: 重庆市教委科技项目(批准号:KJ100717)资助的课题.

Authors and contacts

Liu Qi-Neng¹,
Liu Qin²

1.
College of Computer Science and Information Engineering, Chongqing Technology and Business University, Chongqing 400067, China;

2.
Design and Art Institute, Chongqing Technology and BusinessUniversity, Chongqing 400067, China

Funds: Project supported by the Science and Technology Project of the Education Commission of Chongqing, China (Grant No. KJ100717).

参考文献

[1]	Pi G L, Zhen Y 2001 Phys. Rev. E 63 066611
[2]	Jesen J S 2003 J. Sound Vib. 266 1053
[3]	Wang G, Yu D L, Wen J H 2004 Phys. Lett. A 327 512
[4]	Mar T H 2004 Appl. Phys. Lett. 84 3364
[5]	Hou Z L, Fu X J, Liu Y Y 2005 Phys. Rev. B 71 024304
[6]	Benchabanel S, Khelifl A, Choujaul A 2006 Europhys. Lett. 72 570
[7]	Wen J H, Wang G, Liu Y H 2004 Acta Phys. Sin. 53 3384 (in Chinese) [温激鸿, 王刚, 刘耀宗 2004 物理学报 53 3384]
[8]	Liu Q N 2011 Acta Phys. Sin. 60 1934 (in Chinese) [刘启能 2011 物理学报 60 1934]
[9]	Liu Q N 2011 Acta Phys. Sin. 60 044302 (in Chinese) [刘启能 2011物理学报 60 044302]
[10]	Wen X S, Wen J H, Yu D L 2009 Phononic Crystal (National Defense Industry Press) p25 (in Chinese) [温熙森, 温激鸿, 郁殿龙 2009声子晶体 (国防工业出版社)第25页]
[11]	Liu Q N 2008 J. Synthetic Crys. 37 179 (in Chinese) [刘启能2008人工晶体学报 37 179]
[12]	Liu Q N 2009 Chin. J. Appl. Mech. 26 164 (in Chinese) [刘启能 2009应用力学学报 26 164]
[13]	Liu Q N 2012 J. Vibration Shock 31 173 (in Chinese) [刘启能 2012 振动与冲击 31 173] \item] Luo S 2004 Ultrasonic Waves in Solid Media (Beijing: Science Press) p43 (in Chinese) [罗斯 2004 固体中的超声波 (北京:科学出版社)第43页]
[14]	Ji J R 2007 Higher Optical Directory (Beijing: Science Press) p74 (in Chinese) [季家镕 2007 高等光学教程 (北京:科学出版社)第74页]
[15]	Liu Q N 2009 J. Synthetic Crys. 38 112 (in Chinese) [刘启能2009人工晶体学报 38 112]

施引文献

[1]	Pi G L, Zhen Y 2001 Phys. Rev. E 63 066611
[2]	Jesen J S 2003 J. Sound Vib. 266 1053
[3]	Wang G, Yu D L, Wen J H 2004 Phys. Lett. A 327 512
[4]	Mar T H 2004 Appl. Phys. Lett. 84 3364
[5]	Hou Z L, Fu X J, Liu Y Y 2005 Phys. Rev. B 71 024304
[6]	Benchabanel S, Khelifl A, Choujaul A 2006 Europhys. Lett. 72 570
[7]	Wen J H, Wang G, Liu Y H 2004 Acta Phys. Sin. 53 3384 (in Chinese) [温激鸿, 王刚, 刘耀宗 2004 物理学报 53 3384]
[8]	Liu Q N 2011 Acta Phys. Sin. 60 1934 (in Chinese) [刘启能 2011 物理学报 60 1934]
[9]	Liu Q N 2011 Acta Phys. Sin. 60 044302 (in Chinese) [刘启能 2011物理学报 60 044302]
[10]	Wen X S, Wen J H, Yu D L 2009 Phononic Crystal (National Defense Industry Press) p25 (in Chinese) [温熙森, 温激鸿, 郁殿龙 2009声子晶体 (国防工业出版社)第25页]
[11]	Liu Q N 2008 J. Synthetic Crys. 37 179 (in Chinese) [刘启能2008人工晶体学报 37 179]
[12]	Liu Q N 2009 Chin. J. Appl. Mech. 26 164 (in Chinese) [刘启能 2009应用力学学报 26 164]
[13]	Liu Q N 2012 J. Vibration Shock 31 173 (in Chinese) [刘启能 2012 振动与冲击 31 173] \item] Luo S 2004 Ultrasonic Waves in Solid Media (Beijing: Science Press) p43 (in Chinese) [罗斯 2004 固体中的超声波 (北京:科学出版社)第43页]
[14]	Ji J R 2007 Higher Optical Directory (Beijing: Science Press) p74 (in Chinese) [季家镕 2007 高等光学教程 (北京:科学出版社)第74页]
[15]	Liu Q N 2009 J. Synthetic Crys. 38 112 (in Chinese) [刘启能2009人工晶体学报 38 112]

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